EOCT REVIEW

EOCT 1

Jeffrsquos Wholesale Auto Dealership holds an auction once a month What is the average number of cars sold at the auction for the past 6 months

Month 1 288 cars Month 4 558 carMonth 2 432 cars Month 5 366 carsMonth 3 330 cars Month 6 258 cars

a)3189 cars b)350 cars c) 4466 cars d) 372 cars

ANSWER - D

EOCT 2

What is the y intercept of the equation 6xsup2 + y = 18

A (0 18)B (03)C (18 0)D (30)ANSWER ndash A

Put in standard form y=-6xsup2 + 18Make x = 0 and solve for y

y=6(0)sup2 + 18y = 18

EOCT 3

The graph of the function F(x) = xsup2 has been translated so that its new vertex is (21) What is the new equation of the function in standard form

A) F(x)=xsup2 -4x +5 c) F(x)= xsup2 -2x +1 B) F(x)= xsup2 +4x +1 d) F(X) = xsup2 + 2x -1

Answer ndash AFirst put into vertex form ndashgt F(x) = (x -2)sup2 + 1 Remembering to switch the sign for the x value Then FOIL it out

EOCT 4

Which of the following quadratic equations in standard form has the vertex of (1 -1)

A) F(x) = -2xsup2 -4x +1B) F(x) = 2xsup2 -4x +1C) F(x) = -2xsup2 +4x +1D) F(x) = 2xsup2 +4x -1ANSWER ndash B

Find the vertex of each function using the

ndashb2a formula

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
• EOCT 5
• EOCT 6
• EOCT 7
• EOCT 8
• EOCT 9
• EOCT 10
• EOCT Day 11
• EOCT Day 12
• EOCT Day 13
• EOCT Day 14
• EOCT 15
• EOCT Day 16
• EOCT 17
• EOCT Day 18
• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
• EOCT 23
• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
• EOCT 32
• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
• EOCT 52
• EOCT 53
• EOCT 54
• EOCT 55
• EOCT 56
• EOCT 57
• EOCT 58
• EOCT 59
• EOCT 60
• EOCT 61
• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 1

Jeffrsquos Wholesale Auto Dealership holds an auction once a month What is the average number of cars sold at the auction for the past 6 months

Month 1 288 cars Month 4 558 carMonth 2 432 cars Month 5 366 carsMonth 3 330 cars Month 6 258 cars

a)3189 cars b)350 cars c) 4466 cars d) 372 cars

ANSWER - D

EOCT 2

What is the y intercept of the equation 6xsup2 + y = 18

A (0 18)B (03)C (18 0)D (30)ANSWER ndash A

Put in standard form y=-6xsup2 + 18Make x = 0 and solve for y

y=6(0)sup2 + 18y = 18

EOCT 3

The graph of the function F(x) = xsup2 has been translated so that its new vertex is (21) What is the new equation of the function in standard form

A) F(x)=xsup2 -4x +5 c) F(x)= xsup2 -2x +1 B) F(x)= xsup2 +4x +1 d) F(X) = xsup2 + 2x -1

Answer ndash AFirst put into vertex form ndashgt F(x) = (x -2)sup2 + 1 Remembering to switch the sign for the x value Then FOIL it out

EOCT 4

Which of the following quadratic equations in standard form has the vertex of (1 -1)

A) F(x) = -2xsup2 -4x +1B) F(x) = 2xsup2 -4x +1C) F(x) = -2xsup2 +4x +1D) F(x) = 2xsup2 +4x -1ANSWER ndash B

Find the vertex of each function using the

ndashb2a formula

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
• EOCT 5
• EOCT 6
• EOCT 7
• EOCT 8
• EOCT 9
• EOCT 10
• EOCT Day 11
• EOCT Day 12
• EOCT Day 13
• EOCT Day 14
• EOCT 15
• EOCT Day 16
• EOCT 17
• EOCT Day 18
• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
• EOCT 23
• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
• EOCT 32
• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
• EOCT 52
• EOCT 53
• EOCT 54
• EOCT 55
• EOCT 56
• EOCT 57
• EOCT 58
• EOCT 59
• EOCT 60
• EOCT 61
• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 2

What is the y intercept of the equation 6xsup2 + y = 18

A (0 18)B (03)C (18 0)D (30)ANSWER ndash A

Put in standard form y=-6xsup2 + 18Make x = 0 and solve for y

y=6(0)sup2 + 18y = 18

EOCT 3

The graph of the function F(x) = xsup2 has been translated so that its new vertex is (21) What is the new equation of the function in standard form

A) F(x)=xsup2 -4x +5 c) F(x)= xsup2 -2x +1 B) F(x)= xsup2 +4x +1 d) F(X) = xsup2 + 2x -1

Answer ndash AFirst put into vertex form ndashgt F(x) = (x -2)sup2 + 1 Remembering to switch the sign for the x value Then FOIL it out

EOCT 4

Which of the following quadratic equations in standard form has the vertex of (1 -1)

A) F(x) = -2xsup2 -4x +1B) F(x) = 2xsup2 -4x +1C) F(x) = -2xsup2 +4x +1D) F(x) = 2xsup2 +4x -1ANSWER ndash B

Find the vertex of each function using the

ndashb2a formula

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
• EOCT 5
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• EOCT 8
• EOCT 9
• EOCT 10
• EOCT Day 11
• EOCT Day 12
• EOCT Day 13
• EOCT Day 14
• EOCT 15
• EOCT Day 16
• EOCT 17
• EOCT Day 18
• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
• EOCT 23
• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
• EOCT 32
• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
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• EOCT 53
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• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 3

The graph of the function F(x) = xsup2 has been translated so that its new vertex is (21) What is the new equation of the function in standard form

A) F(x)=xsup2 -4x +5 c) F(x)= xsup2 -2x +1 B) F(x)= xsup2 +4x +1 d) F(X) = xsup2 + 2x -1

Answer ndash AFirst put into vertex form ndashgt F(x) = (x -2)sup2 + 1 Remembering to switch the sign for the x value Then FOIL it out

EOCT 4

Which of the following quadratic equations in standard form has the vertex of (1 -1)

A) F(x) = -2xsup2 -4x +1B) F(x) = 2xsup2 -4x +1C) F(x) = -2xsup2 +4x +1D) F(x) = 2xsup2 +4x -1ANSWER ndash B

Find the vertex of each function using the

ndashb2a formula

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 4

Which of the following quadratic equations in standard form has the vertex of (1 -1)

A) F(x) = -2xsup2 -4x +1B) F(x) = 2xsup2 -4x +1C) F(x) = -2xsup2 +4x +1D) F(x) = 2xsup2 +4x -1ANSWER ndash B

Find the vertex of each function using the

ndashb2a formula

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 5

Nina wanted to see whether doctors or nurses work more hours in a 5 day work week She interviewed random doctorsnurses and asked them how many hours a week they work

Looking at the chart which data set has the lowest mean

A Doctors C Cannot be DeterminedB B Nurses D They have the same mean

ANSWER ndash BAdd up all the data points and divide by 5 Who has the lowest mean

Nurses

48 50 49 47 51

Doctors

53 54 53 51 52

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
• EOCT 5
• EOCT 6
• EOCT 7
• EOCT 8
• EOCT 9
• EOCT 10
• EOCT Day 11
• EOCT Day 12
• EOCT Day 13
• EOCT Day 14
• EOCT 15
• EOCT Day 16
• EOCT 17
• EOCT Day 18
• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
• EOCT 23
• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
• EOCT 32
• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
• EOCT 52
• EOCT 53
• EOCT 54
• EOCT 55
• EOCT 56
• EOCT 57
• EOCT 58
• EOCT 59
• EOCT 60
• EOCT 61
• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 6

Simplify 2 sup3

A) 18 B)-8 C) -6 D) -18

ANSWER ndash AThis is a simple calculator question Type it

in and solve Yoursquoll get 0125 Take 1 divided by 8 to get your answer

Look for the ^ button or the X button

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
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• EOCT Day 11
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• EOCT Day 16
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• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
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• EOCT Day 24
• EOCT Day 25
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• ECOT Day 28
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• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
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• EOCT 45
• EOCT Day 46
• EOCT 47
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• EOCT 49
• EOCT 50
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• ECOT 67
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• ECOT 69
• ECOT 70

EOCT 7

Which of the following is the solution to 2x -3 le 7

A) -2 le x le 7 c) x le 5B) x ge 2 d) -2 le x le 5

ANSWER ndash DIt is an AND problem Sohellip -7 le 2x ndash 3 le 7

Add 3 to both sides and divide by 2

EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 8

Simplify the expression 3i(-4 + i) and express as a complex number in standard form

A) -3- 12iB) -3 -21iC) -12i +3isup2D) i(-12 + 3i)ANSWER ndash AMultiply it out to get -12i + 3isup2 Replace isup2

with -1

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• EOCT Day 11
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• EOCT 21
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• EOCT Day 25
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• ECOT Day 28
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• EOCT 37
• EOCT 38
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• EOCT Day 40
• EOCT 41
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• EOCT 47
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• EOCT 49
• EOCT 50
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• EOCT 53
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• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 9

Which of the following arithmetic series has a sum of 100

A) Σ 5 +3 (n+2) B) Σ 4+2(n+3)

C) Σ 6+3(n+3) D) Σ 5 = 3(n-1)

ANSWER ndash AStart with 1 and sub in for n up to 5 Add up

the numbers until you get 100

5

n=1 n=1

5

5

n=1 n=1

5

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
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• EOCT 10
• EOCT Day 11
• EOCT Day 12
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• EOCT Day 16
• EOCT 17
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• EOCT Day 20
• EOCT 21
• EOCT 22
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• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
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• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
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• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 10

What is the domain of the function y = xsup3

A 0 le x le infinB 3 le x le infinC -infin le x le infinD 0 lt x lt infinANSWER ndash CRemember the domain is all real numbers

Domain HintWhen in doubt ALL REALZ

EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 11

Andrea began an exercise program on Monday The first day she did 10 sit-ups Each day she added 5 more sit-ups How many sit-ups will she have done at the end of the first Saturday of her program

A) 35 c) 135B) 100 d) 155

ANSWER ndash AMonday 10 Tuesday 15 Wednesday 20 Thursday 25 Friday 30 Saturday 35

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
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• EOCT Day 11
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• EOCT 17
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• EOCT 21
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• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
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• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
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• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
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• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
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• EOCT 53
• EOCT 54
• EOCT 55
• EOCT 56
• EOCT 57
• EOCT 58
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• EOCT 60
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• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT Day 12

Joe decided to investigate whether HS girls or HS boys have higher EOCT scores To do this he took a random sample of EOCT scores of both boys and girls To come to his conclusion Joe averaged the test scores for each group and compared the two What are being compared

A) Male and female test scoresB) Average EOCT scores for boysC) Average EOCT scores for girlsD) Average EOCT scores of boys and girlsAnswer ndash DLook at the underlined section of what exactly is being

compared

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
• EOCT 2
• EOCT 3
• EOCT 4
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• EOCT 10
• EOCT Day 11
• EOCT Day 12
• EOCT Day 13
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• EOCT 15
• EOCT Day 16
• EOCT 17
• EOCT Day 18
• EOCT Day 19
• EOCT Day 20
• EOCT 21
• EOCT 22
• EOCT 23
• EOCT Day 24
• EOCT Day 25
• EOCT 26
• EOCT Day 27
• ECOT Day 28
• EOCT 29
• EOCT 30
• EOCT 31
• EOCT 32
• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
• EOCT 51
• EOCT 52
• EOCT 53
• EOCT 54
• EOCT 55
• EOCT 56
• EOCT 57
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• EOCT 60
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• EOCT 62
• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT Day 13

Find the domain of the inverse for the following function y = xsup3

A) 0 le x le infin c) - infinle x le infinB) 3 le x le infin d) -infin le x le 0

ANSWER ndash CRemember it is a cubic function a cubic

function and its inverse have a domain of all real numbers

HINT ndash when in doubthellipALL REALZ

EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 14

Which of the following is in imaginary form

A) 4B) 4iC) 16iD) -4Answer ndash B

Remember you cannot square root a negative The negative under the root means your answer will have an i in it So square root the number and add an i

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT Day 28
• EOCT 29
• EOCT 30
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• EOCT 37
• EOCT 38
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• EOCT Day 40
• EOCT 41
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• EOCT 47
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• EOCT 63
• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 15

The tangent of ltB is ________

A) 7

ANSWER ndash ATANGENT =

A

B

C

7

12

radic95opposite

adjacent

=

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
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• EOCT Day 11
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• ECOT Day 28
• EOCT 29
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• EOCT 33
• EOCT 34
• EOCT 35
• EOCT 36
• EOCT 37
• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
• EOCT 42
• EOCT 43
• EOCT 44
• EOCT 45
• EOCT Day 46
• EOCT 47
• EOCT 48
• EOCT 49
• EOCT 50
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• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT Day 16

Which of the following is the solution for 2xsup2 + 5 = -13

A) x = -3

B) x = 3i

C) x = -9

D) x = 9i

ANSWER ndash B

Subtract 5 from both sides divide by sides by 2 and

xsup2 = -9 Square root both sides = 3i

EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 17

Which of these is equal to Cos47deg

A) Tan73deg c) Tan137degB) Sin43deg d) Cos137deg

ANSWER ndash BCOS47 = 0682SIN43 = 0682

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT Day 28
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• EOCT 64
• EOCT 65
• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT Day 18

Given y = frac12(x ndash 2)sup2 + 1 what is the vertex

A) (2 1) B) (2 -1)

c) (-2 1) D) (-2 -1)

ANSWER ndash A

The vertex is ALWAYS the value inside the parenthesis with the value changed and

EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 19

Write in standard form

A) -iB) i - 4C) -4 + iD) -4 ndash iANSWER ndash CldquoStandard formrdquo means the real part comes first THEN the imaginary part = i

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT 70

EOCT Day 20

What is the inverse of y = xsup2

A) x =

B) y = xsup2

C) xsup2 = y

D) y =

ANSWER ndash DInverse is all about how to lsquoundorsquo the original How do you lsquoundorsquo an xsup2 With a

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
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• EOCT Day 11
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• ECOT Day 28
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• EOCT 38
• EOCT 39
• EOCT Day 40
• EOCT 41
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• EOCT Day 46
• EOCT 47
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• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 21 Which of the following arithmetic series has

a sum of 60

A)Σ 10 ndash (2 + n) B)Σ 12 ndash (3 - n)

C) Σ 11 + (4 ndash n) D) Σ 9 + (n + 3)

ANSWER ndash C

Replace n with 1 2 3 and 4 add

4

n = 1 n = 1

EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 22

How is the graph y = -xsup2 different from the graph

y = xsup2

A) The graph y = -xsup2 is shifted down 1 unit

B) The graph y = -xsup2 is reflected over the x axis and opens upward

C) The graph y = -xsup2 is reflected over the x axis and opens downward

D) The graph y = -xsup2 is shifted left 1 unit

ANSWER ndash C

When there is a reflection of a quadratic the parabola opens downward

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 23Use the linear regression feature on your calculator to determine the equation of the linear function that can be used to model the relationship below(7 hours 168 miles) (77 hours 192 miles) (9 hours 23 miles) (11 hours 26 miles)

A) y = -23x ndash 15 B) y = -23x +15c) y = 23x + 15 D) y ndash 23x ndash 15

ANSWER ndash CThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 24

Which of the following functions is represented by the graph

A) y = -4x + 6B) y = 4x + 6C) y = - 4x -6D) y = -4x ndash 6

ANSEWR ndash B

Since the line is moving upward the slope is positive the y-intercept is 6 Put into the form y = mx +b where m is the slope b is the y intercept

EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 25

In comparing the graphs y = |x| and y = 4|x| the graph y = 4|x|

A) Opens down is narrowerB) Opens up is widerC) Opens down is widerD) Opens up is narrowerANSWER ndash DREMBEMBER ndash the 4 is positive so it opens up the 4 is a whole number so it stretches making the V narrower

EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 26

Which of the following measures of central tendency does the following algorithm describe

ldquoPut the numbers in order and circle the one in the middlerdquo

A) Mode B) Mean C) Median D) Mode

ANSWER ndash MEDIANWhen the numbers are put in order the median is the middle number

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT 70

EOCT Day 27

What is the next number in the pattern

-3 - hellip

A) -3 c) B) -5 D) -7

ANSWER ndash BThe common difference is -05 So subtract 05 from each and the next term would be -5

ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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ECOT Day 28

In 1989 a movie ticket cost $300 In 1999 a movie ticket cost $550 Find the average rate of change of the price of a movie ticket

A) $020 c) $030B) $025 D) $085

ANSWER ndash BThe formula is If you use 1999 as y2 1989 as y1 550 as x2 and 300 as x1 you would get 025

EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 29

Solve the inequality algebraicallyxsup2 + 2x ge 48

A) -8 le x le 6

B) x le -8 or x ge 6

C) x ge 8 or x le - 6

D) -6 le x le 9

ANSWER ndash C

FIRST ndash it is a greatOR problem so OR must be in the answer Then once factored yoursquod get (x+6)(x-8)0 When solved yoursquod have to have a -6 and +8 in the answer

EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 30

What is the discriminant of 5xsup2 -3x ndash 12 = 0

A) -231 B) 249 C) 243 D) -240

ANSWER B

Formula for the discriminant bsup2-4ac Plugged in would be -3sup2 - 4(5)(-12) = 249

EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 31The table compares the number of customers a restaurant had for lunch and dinner over a period of 1 year Which of these is a correct conclusion

A) The average number of customers was greater for lunchB) The average number of customers was greater for dinnerC) There was more variation in the number of customers for

lunchD) There was more variation in the number of customers for

dinnerANSWER ndash CVariation means standard deviation Lunch has the largest standard deviation

Mean Standard Deviation

Lunch 400 87

Dinner 400 20

EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 32

What function does the scatter plot resemble

A) LinearB) QuadraticC) Absolute ValueD) RationalANSWER ndash B

The scatter plot looks like frac12 of a quadratic parabola

EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 33

You have a budget of $100 to spend on books and movies A book costs $1900 and a movie costs $1500 Which inequality best describes the amount of books (b) and movies (m) you can buyA) 15b + 19m le 100B) 15b + 19m ge 100

C) 19b + 15m le 100

D) 19b + 15m ge 100

ANSWER ndash C19$ of BOOKS + 15$ of MOVIES must be LESS THAN 100

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 34

Which function(s) below are one-to-one

I II

A) I only c) I and IIB) II only d) neither I or II

ANSWER CBoth functions pass the HORIZONTAL LINE test

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 35Which of these is a root of the equation graphed below

A) x = 1 c) x = -3B) x = -2 d) x = 3ANSWER C

The graph crosses at x = -3 and x = -1 but only x = -3 is listed

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 36

Use the discriminant to determine the roots of the equation 9xsup2 - 30x + 25 = 0

A) No real roots c) 2 real roots

B) 1 real root d) 2 complex roots

ANSWER ndash B

Use the discriminant formula bsup2 - 4ac Plug in a = 9

b = -30 c = 25 and the answer will be 0 When the answer is zero there is 1 real root

EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 37

The graph of f(x) = is translated down 2 units what is the equation of the translation

A) f(x) = + 2B) f(x) = - 2C) f(x) = D) f(x) = ANSWER ndash BIf the graph moves down 2 places there will be a -2 at the END of the equation

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• EOCT 66
• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 38

Solve for |x + 6| = 6

A) -12B) 12 0C) 0 -12D) 0

ANSWER ndash C Set up the equation as x + 6 = 6 and x + 6 = -6 and solve for x by ndash 6 on both sides 6-6 = 0 and -6 ndash 6 = -12

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 39

Which of the following is the equation to the graph

A) y = (x ndash 1)sup2 - 4B) y = (x ndash 1)sup2 + 4

C) y = (x + 1)sup2 - 4

D) y = (x + 1)sup2 + 4

ANSWER ndash C

The vertex of the parabola is (-1 -4) The -1 changes it sign the -4 DOES NOT

EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 40

What is the linear regression equation for the chart below

A) y = 3x B) y = 2x + 1 C) y = 2x + 5 D) NOT LINEARANSWER ndash BThis is a calculator question Press 2nd DATA and select 2 var Then press DATA and enter your x and y values Press STATVAR to find your equation in y = ax + b

x Y

2 5

3 7

4 9

5 11

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 41

What is the range of the following equation f(x) = -|x ndash 3| + 2

A) y gt 3B) y ge 2C) y le 3D) y le 2ANSWER ndash DThe vertex is (3 2) Range ALWAYS deals with the y value of the vertex Since itrsquos the graph opens down making it LESS than

EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 42

A grocery store sells 2 boxes of cereal for $495 Which method can be used to find the total cost (c) of purchasing n boxes of cereal

A) Multiply n by the cost of one boxB) Divide n by cC) Multiply n by cD) Divide n by the cost of one boxANSWER ndash AIf you want to by 2 boxes it would be n x 2 If you want to buy 8 boxes it would be n x 8 etc

EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 43

The table below gives the number of inner tubes I sold in a bike shop between 1985 and 1990 Determine which model best fits the data

A) Linear c) Absolute ValueB) Quadratic d) ExponentialANSWER ndash DAs the years increase so does the number of inner tubes sold but it does not increase at the same rate

Year 1985 1986 1987 1989 1990

Inner Tubes

40 56 74 113 127

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• EOCT 65
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• ECOT 67
• EOCT 68
• ECOT 69
• ECOT 70

EOCT 44

Simplify

A) -6iB) 6iC) -36iD) 36i

ANSWER ndash BWhen taking the square root of a negative number take the square root of the number and add and i

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT 70

EOCT 45Which term best describes the relationship between x and y

A) Positive correlation c) positive causationB) Negative correlationd) negative causationANSWER ndash AThe graph is increasing making it a positive correlation

EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT Day 46

Compare the standard deviation of Louise and Thelmarsquos bowling scores Whose standard deviation is higher

A) Thelma c) they are the sameB) Louise d) cannot calculateANSWER ndash BOn your calculator press 2nd DATA and 1-VAR Enter your x values with FRQ as 1 Press STATVAR and find Ơx

T 85 176 111 201 159 187 134

L 99 83 102 175 126 79 223

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 47

What is the product of (5 + 4i) and (3 ndash 2i)

A) 7 + 2iB) 8 + 2iC) 15 ndash 8iD) 23 + 2i

ANSWER ndash AProduct means add Collect like terms 5 + 3 = 7 4i + -2i = 2i

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT 69
• ECOT 70

EOCT 48

Write the equation for the graph

A) y = xsup2 - 2 c) y = xsup2 + 2B) y = |x| -2 d) y = |x| + 2ANSWER ndash BThe graph is absolute value shifted DOWN 2

EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 49

The data below represents the price of a pair of shoes at ten stores Find the mean of the data

77 65 59 77 63 60 60 68 77

A) 64 c) 608B) 77 d) 667

ANSWER ndash DThere are 10 terms Add up each and divide by 10

EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 50

Which equation best models the data in the scatter plot

A) y = x + 15 c) y = x ndash 15B) y = -x + 15 d) y = -x ndash 15ANSWER ndash AThe scatter plot has a positive slope and a y intercept of 15

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 51

Which of the following best describes the graph below

A)It is one-to-one because it passesthe horizontal line test B) It is not one-to-one because it does not pass the horizontal line testC) It is one-to-one because it passes the vertical line testD) It is not one to one because it does not pass the vertical line test ANSWER ndash AOne-to-one deals with the HORIZONTAL LINE test and a cubic function passes it

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
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• ECOT 67
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• ECOT 69
• ECOT 70

EOCT 52

What is the inverse of f(x) = 2x +

A) g(x) = B) g(x) = C) g(x) = D) g(x) = ANSWER ndash DFirst step is to lsquoundorsquo the by subtraction Then divide everything by 2

EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 53

Which of the following pairs are equal

A) Tan31deg and Sin51degB) Cos22deg and Sin68degC) Tan40deg and Sin40degD) Cos70deg and Sin70deg

ANSWER ndash BCos22deg = 0927 and Sin68deg = 0927

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 54

A photographer shines a camera light at a particular painting forming an angle of 40 deg with the camera platform If the light is 58 feet from the wall where the painting hangs how high above the platform is the painting hanging

A) 119ftB) 4867ftC) 6912ftD) 084ftANSWER BWe would use tan because X is the opposite side and 58 is the adjacent side So it would be Tan40 = and since x is in the numerator we would multiply tan40 x 58 = 4867

40deg

58ft

xO

A

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 70

EOCT 55

What is the standard deviation of 120 190 145 160 210 180 175 140 180 200

A) 170B) 269C) 1775D) 264ANSWER BPress 2nd DATA and select 2-var Press DATA and enter each x value with an FRQ as 1 Press STATVAR and look for δx

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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• ECOT 67
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• ECOT 69
• ECOT 70

EOCT 56

What situation could the graph below represent

A) Dropping a bookB) A person agingC) A full helium balloonD) A thrown ballANSWER ndash DA thrown ball will look like a reflected parabola it will go up then down

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

• EOCT REVIEW
• EOCT 1
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• ECOT 69
• ECOT 70

EOCT 57

Which type of graph would be the most appropriate to show how a grouprsquos funds should be budgeted

A) PictographB) Line graphC) Bar graphD) Circle graphANSWER ndash DA circle graph is usually used to show percent

EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 58

Find the sum of the first 10 terms in this sequence-5 + 0 + 5 + 10 + helliphellip

A) 350B) 170C) 175D) 180

ANSWER BThe first 10 terms would be -5 + 0 + 5 + 10 + 15 +20 + 25 + 30 + 35 + 40 ndash then simply add

EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 59

Use the function below to answer the questionf(x) = What value is NOT contained in the domain

A) 0B) 1C) 2D) 3ANSWER ndash AYou can NEVER have a 0 in the denominator of a fraction

EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 60

Which scatter plot below would model a linear function

A)

B)

C)

D)

ANSWER - A

EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 61

Find the missing side

A) 6 c) 3B) 9 d) 6ANSWER ndash CIn a 45 -45-90 triangle the hypotenuse is Times longer than the leg

45

3

x

EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 62

Simplify

A) - 64 c) -12

B) d)

ANSWER ndash BWhen the exponent is negative the answer is in fraction form = 0015625 = 0015625

EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 63

Find the inverse of y = xsup3 + 2

A) y = 3x ndash 2B) y = - 2C) y = + 2D) y = x ndash 2

ANSWER ndash BYou UNDO the +2 with a -2 You UNDO the xsup3 with a

EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 64

Use the linear regression feature on your calculator to determine the equation for the following relationship(3ads 52 clicks) (4ads 69 clicks) (5ads 78 clicks) (6ads 83 clicks) (8ads 97 clicks)

A) y = -85x + 318 c) y = 85x ndash 318B) y = 85x + 318 d) y = -85x ndash 318 ANSWER ndash BPress 2nd DATA and 2-var Then DATA and enter your x and y values Press STATVAR and look for a and b values and put in y = ax + b

EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 65

Given the equation f(x) = frac12 (x ndash 2)sup2 + 1 which way does the parabola open and what is the vertex

A) Opens up vertex (-2 1)B) Opens up vertex (2 1)C) Opens down vertex (-2 1)D) Opens down vertex (2 1)ANSWER ndash BThe frac12 is positive so it opens UP Always change And keep

EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 66

Simplify xsup2

A) c) B)

ANSWER ndash CWhen you multiply bases add the exponents 2 + -4 = -2 But remember NO NEGATIVE exponents Put the exponent in the denominator of a fraction

ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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ECOT 67

The data set below displays the average weight for a Jack Russell Terrier Using the line of best fit determine the average weight for a Jack Russell when they are one year old

A) 2lbsB) 4 lbsC) 6 lbsD) 8 lbsANSWER ndash AAt age 1 (on the x axis because x axis always measures time the weight would be 2 lbs

EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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EOCT 68

What is the value of b

A) 1

B) 4

ANSWER ndash BIn a 45-45-90 triangle the hypotenuse is times longer than the leg

b

45⁰

radic2

ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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ECOT 69

Simplify (-3)sup3

A) 27B) -27C) 27iD) -27i

ANSEWR ndash BSimple calculator (-3) ^ 3 = -27 ONLY use i when it is a square ROOT of a negative number

ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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ECOT 70

What is the y-intercept of f(x) = - xsup2 - 5

A) (05)B) (0 )C) (0 -)D) (0 -5)ANSWER ndash DFor ANY quadratic always list A B CA = - B = 0 C = -5 The y-intercept is ALWAYS (0 c)

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