questions #1-15 are calculator inactivemathwithsmith.weebly.com/uploads/2/2/8/6/22866884... · 11...

6 Which expression is equivalent to p2-49?

a (p-7)(p-7)

b (p-1)(p-49)

c (p-7)(p+7)

d (p+7)(p+7)

7 Which is the graph of the function g(x)=

x2+x +6

8 The length of a rectangular garden is three times with width,

w. Farmer Robbins will increase both the length and the

width of his garden this year by 5 feet. Which equation

represents the new area, A, of his garden?

a w2+20w+10

b 3w+10

c 3w2+20w+25

d w2+10w+15

26 Internet Company A charges $5 a month plus $0.05 per

minute, x. Internet Company B charges $0.10 per minute,

but does not charge a start-up fee like Company A does.

Which function represents the difference in cost between

Company A and Company B?

a f(x) = 5x - 0.05

b f(x) = 5x + 0.05

c f(x) = 0.05x - 5

d f(x) = -0.05x + 5

27 Sara did an experiment to compare two methods of

cooling an object. The results are shown in the table

below.

Time (minutes) Method 1 Temp (Fahrenheit)

Method 2 Temp (Fahrenheit)

5 50 50

10 25 45

15 12.5 42

20 6.25 38

25 3.125 35

Which statement best describes her results?

a. The temperature using Method 1 changed exponentially.

b. The temperature using Method 1 changed at a constant rate.

c. The temperature using Method 2 changed exponentially.

d.The temperature using Method 2 changed at a constant rate.

1 The function f(x) = 2(3)x was replaced with f(x) + k,

resulting in the function seen on the graph below. What is the value of

k?

2 The function C(m) = 2m + 8 represents the cost to rent m

movies a month from an internet video club. Kimberly now has $5. How

much more money will she need in order to rent 6 movies this month?

3 The larger leg of a right triangle is 7in longer than the

smaller leg. The hypotenuse is 14in longer than the smaller leg. How

many inches long in the smaller leg?

4 Bob and Daryl are playing a game.

- Both Bob and Daryl have 4 points to start the game.

- At the end of each turn, Bob’s points are doubled.

- At the end of each turn, Daryl’s points are increased by 10.

At the start of which turn will Bob have more points than

Daryl?

5 Bart ran 10560 feet in 30 minutes. Roger ran 1 mile in 10

minutes. How much faster was Roger? (1 mile = 5280 feet)

23 A line segment has endpoints L(-2, 5) and N(6, 11). The

point M is the midpoint of LN. What is an equation of a line

perpendicular to LN and passing through M?

a y = -4/3x + 32/3

b y = -4/3x + 16/3

c y = 3/4x + 13/2

d y = 3/4x + 19/2

24 A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5).

What is the approximate perimeter of the triangle?

a 15

b 16.3

c 18

d 19.4

25 The table below shows the population of several cities.

City Population

Wooster 2000

Madison 3000

Findley 2100

Popperton 500

Foxton 1500

Zabbaton 4000

What would happen to the data set if Tooneyville, with a population of

200, was added to the data?

a The standard deviation increases.

b The interquartile range decreases.

c The mean increases.

d The range decreases.

© K. Mitchell (Mitchell’s Math Madhouse), 2012

Common Core Algebra I/Integrated I Practice EOC: Test #2

Please use this as you see fit for review as

a classroom tool

a homework packet

group work

or

centers

I hope that you find it useful in your endeavors to

help your students be as successful as possible!

Questions #1-15 are calculator INACTIVE

Questions #16 – 50 are calculator ACTIVE


CALCULATOR INACTIVE

1 Samantha’s ride to school is 4 minutes more than 2/3 Tom’s travel time. Which

graph shows the possible times of Samantha’s and Tom’s rides to school?

2 Which situation is correctly modeled by the graph below.

a.The number of pounds of candy corns ,y, minus the number of chocolates, x, is at least

6 pounds. b.The number of pounds of candy corns, y, minus the number of chocolates, x, is at most

6 pounds. c.The number of pounds of candy corns, y, plus the number of chocolates, x, is at least 6

pounds. d.The number of pounds of candy corns, y, plus the number of chocolates, x, is at most 6

pounds.


3 Which expression is equivalent to 9p2-100?

a (3p-10)(3p-10)

b (9p-10)(p-10)

c (3p-10)(3p+10)

d (3p+10)(3p+10)

4 Which is the graph of the function g(x)= x2 + 2x – 8

5 The length of a rectangular garden is three feet longer than the width, w. Farmer

Chuck will increase both the length and the width of his garden this year by 7 feet.

Which equation represents the new area, A, of his garden?

a A = w2+17w+17

b A = 4w+34

c A = 4w2+17w+34

d A = w2+17w+70


Questions 6 through 15 are NOT multiple choice and require you to write your

answers on your answer sheet. Answers should include unit measurements when

appropriate.

6 Two students were racing home from school. Paul rides his skateboard and Kevin

rides his bicycle. Paul leaves 20 seconds before Kevin. Paul traveled at a speed of 12

feet per second. Kevin traveled at a speed of 22 feet per second. For how many

seconds had Paul traveled when both boys were the same distance from school?

7 The Athletic Boosters sells t-shirts to raise money for the prom. The profit from

sales of 20 short sleeve t-shirts and 50 long sleeve t-shirts is $215. Profit from sales

of 10 short sleeve t-shirts and 40 long sleeve t-shirts is $160. How much profit do

they earn for each long sleeve t-shirt sale?

8 What is largest of three consecutive positive integers if the product of the smaller

two integers is 28 less than the third integer squared?

9 The function h(t)= -16t2+16t+96 represents the height of a cannon ball in feet t

seconds after it is shot from a cannon. How many seconds does it take the

cannonball to hit its target on the ground?

10 The sum of twice Patty’s age and her mother’s age is 74. Her mother’s age is 14 more

than three times Patty’s age. What is Patty’s age?


11 The function f(x) = 2(3)x was replaced with f(x) + k, resulting in the function seen on

the graph below. What is the value of k?

12 The function C(m) = 2m + 8 represents the cost to rent m movies a month from an internet

video club. Kimberly now has $5. How much more money will she need in order to rent 6

movies this month?

13 The larger leg of a right triangle is 7in longer than the smaller leg. The hypotenuse is 14in

longer than the smaller leg. How many inches long in the smaller leg?

14 Bob and Daryl are playing a game.

- Both Bob and Daryl have 4 points to start the game.

- At the end of each turn, Bob’s points are doubled.

- At the end of each turn, Daryl’s points are increased by 10.

At the start of which turn will Bob have more points than Daryl?

15 Bart ran 10560 feet in 30 minutes. Roger ran 1 mile in 10 minutes. In miles per hour, how

much faster was Roger? (1 mile = 5280 feet)


THIS IS THE END OF THE CALCULATOR INACTIVE PART OF YOUR TEST!

PLEASE RAISE YOUR HAND SO YOUR TEACHER CAN PROVIDE YOU WITH A

CALCULATOR!

16 Which expression is equivalent to √

?

a 9a4b2

b 3a3/4b3/2

c 27a4/3b2/3

d 3a4/3b2/3

17 An office purchases boxes of calculators.

■ Each box contains 30 calculators.

■ Each box costs $300.

How much does the office have to sell each calculator to make a $300 profit on each

box?

a. $10

b. $15

c. $20

d. $30

18 Power and Work are related by the equation P = W/t ; where W is the work and t is the

amount of time the work is done on an object.

Which equation gives W in terms of P and t?

a W = Pt

b W = P/t

c W = t/P

d W = PWt

19 Suppose that the equation V = 20x2 - 300x + 2500 describes the value of a car from 1980

to 2012. What year did the car have the least value? (x = 0 is 1980)

a 1984

b 1985

c 1986

d 1987


20. Which expression is equivalent to (x1/4)-16? a. 1/x1 b. x1 c. 1/x4 d. x4

21 The table below shows the average height of a tree and the amount of years that it has been growing.

Time (years) Height (in feet)

10 7

11 8

12 10

13 12

14 15

What is the average rate of change in height of the tree from Year 10 to Year 14?

a. 1 foot per year

b. 1.25 feet per year

c. 1.5 feet per year

d. 2.0 feet per year

22 Joey compared the y-intercept of the graph of the function f(x) = 2x + 3 to the y-intercept of the graph of the linear function that includes the points in the table below.

What is the difference when the y-intercept of g(x) is subtracted from the y-intercept of f(x)?

a. -12 b. -2 c. 2 d. 12

X g(x)

3 20

6 35

9 50

12 65


23 Internet Company A charges $10 a month plus $0.01 per minute, m. Internet

Company B charges $0.05 per minute, but does not charge a start-up fee like

Company A does. Which function represents the difference in cost between

Company A and Company B?

a C(m) = 10m - 0.04

b C(m) = 10m + 0.04

c C(m) = 10.04m

d C(m) = -0.04m + 10

24 Sara did an experiment to compare two methods of cooling an object. The results

are shown in the table below.

Time (minutes) Method 1 Temp (Fahrenheit)

Method 2 Temp (Fahrenheit)

5 50 50

10 45 36 15 40 30

20 35 22 25 30 9

Which statement best describes her results?

a.The temperature using Method 1 changed exponentially.

b.The temperature using Method 1 changed at a constant rate.

c.The temperature using Method 2 changed exponentially.

d.The temperature using Method 2 changed at a constant rate.

25 Paul compared the slope of the function shown below to that of a linear function

with an x-intercept of 4 and a y-intercept of -8.

What is the slope of the function with

the smaller slope?

a. -1

b. -1/2

c. ½

d. 1


26 The boiling point of water, T(measured in degrees Celcius), at an altitude, a

(measured in feet), is modeled by the function T(a)= -0.0018a + 100. In terms of

altitude and temperature, which statement described the meaning of the

y-intercept.

a The boiling point of water at an altitude of -0.0018 feet is 100 degrees.

b The boiling point of water at an altitude of 0 is 100 degrees.

c The boiling point of water at an altitude of 0 is 18 degrees.

d The boiling point of water at an altitude of 100 feet is -0.0018 degrees.

27 A line segment has endpoints L(-2, 5) and N(6, 11). The point M is the midpoint of

LN. What is an equation of a line perpendicular to LN and passing through M?

a y = -4/3x + 32/3

b y = -4/3x + 16/3

c y = 3/4x + 13/2

d y = 3/4x + 19/2

28 A triangle has the vertices T(2, 3) R(4, -1) and I(-1, -5). What is the approximate

perimeter of the triangle?

a 15

b 16.3

c 18

d 19.4

29 The table below shows the population of several cities.

City Population

Wooster 2000

Madison 3000 Findley 2100

Popperton 500

Foxton 1500

Zabbaton 4000

What would happen to the data set if Tooneyville, with a population of 200, was added to

the data?

a The standard deviation increases.

b The interquartile range decreases.

c The mean increases.

d The range decreases.


30 East Reynolda High School interviewed 2500 students to determine if they

preferred chocolate, candy canes, or marshmellows best with their hot chocolate in

the winter. The results are shown in the relative frequency table below.

Chocolate Candy Canes Marshmellows Freshmen .04 .09 .16

Sophomores .02 .07 .08 Juniors .10 .06 .09

Seniors .12 .07 .10

How many more juniors than sophomores participated in the survey?

a. 150

b. 200

c. 250

d. 300

31 The West Stokes Dance club has 100 members this year. Only Freshmen and

Sophomores are allowed to be members to help get them involved in the school

while they are still young. When this group was surveyed about their preference

between free style and choreographed dances the results are as shown in the

relative frequency table below:

Grade Free Style Choreographed Total

Freshmen .31 .15 .46

Sophomores .27 .27 .54

Total .58 .42 1.00

Which statement is true?

a. 16 more freshmen prefer Choreographed dances to Free Style dances.

b. 58 students prefer Choreographed dances

c. 46 of the students in the club are Freshmen.

d. Freshmen prefer Choreographed dances.


32 The table below shows the amount cars having been through the gas station for the

hours it is open.

Hours Open

3 6 9 12 15

Cars 60 120 180 240 300

What is the meaning of the slope of the linear model for the data?

a The gas station is open 20 hours for every car it serves.

b The gas station serves 1 car every 20 minutes.

c The gas station serves 60 cars per hour.

d The gas station serves 20 cars per hour.

33 The area of a trapezoid is found using the formula A = 1/2h(b1 + b2), where A is the

area, h is the height, and b1 and b2 are the lengths of the bases.

What is the area of the above trapezoid?

a 8x +2

b 40x + 10

c 13x + 7

d 50x


34 The Cloths for Tots company makes shorts and shirts for toddlers.

- The company can make between 300-500 shorts each day.

- The company can make between 50- 200 shirts each day.

- A total of less than 400 shorts and shirts are made each day.

- Each pair of shorts brings a profit of $1.50.

- Each shirt brings a profit of $0.50.

What is the maximum profit the company can make each day?

a $547.50

b $548

c $548.50

d $549

35 Simon mixed peanuts and cashews.

-He bought 6 pounds of cashews for $8.00 a pound.

-The cost per pound of peanuts is 20% of the cost of cashews.

-Hector bought enough peanuts to make a mixture that cost $3.36 per pound.

What is the approximate percentage of the peanuts in the mixture?

a. 40%

b. 50%

c. 60%

d. 70%

36 Elise and Abby are both saving money for their trip. The table below shows the

models for the amount of money Elise and Abby saved after x weeks.

Elise e(x) = 5x + 20

Abby a(x) = 11x + 2

After how many weeks will Elise and Abby have the same amount of money?

a 2 weeks

b 3 weeks

c 4 weeks

d 5 weeks


37 Bart noticed that there are multiple combinations of quarters and dimes that add

up to $1.25.

■ Let x be the number of dimes.

■ Let y be the number of quarters.

What is the domain where y is a function of x and the total value of the coins is

$1.25?

a {0,1,2,3,4,5,6,7,8,9,10,11,12,13}

b {1,2,3,4,5,6,7,8,9,10,11,12,13}

c {0,5,10}

d {5,10}

38 The value of an antique toy car is modeled by the function V(t) = 5(1.008)(1/2t)

where t is the number of years since 1965. Approximately what percentage rate is

the value of the radio increasing each year?

a .10%

b .20%

c .30%

d .40%

39 The table below shows the cost of a sub sandwich based on the number of extras

ordered.

Number of Extras (n)

Cost (C)

1 $5.50

2 $6.00

3 $6.50

4 $7.00

Which function represents the cost of a sub sandwich with n extras added on?

a C(n) = .50n + 5

b C(n) = .50n + 5.50

c C(n) = 5n + .50

d C(n) = .50n


40. Barbara makes baby blanket and cuddlers to sell at craft shows.

- Each baby blanket takes 2 yards of fabric and 1 spool of thread.

- Each cuddler takes 1 yard of fabric and ½ spool of thread.

- Barbara has 11 yards of fabric and 6 spools of thread.

- Each blanket makes her $3.00 in profit.

- Each cuddler makes her $1.00 in profit.

What is the amount of blankets she should make to get the greatest profit

with the materials she already has on hand?

a. 3

b. 4

c. 5

d. 6

41 The sequence below shows how many bushes Mitchell’s nursery planted each year.

8, 4, 2, 1, …

Which formula could be used to determine the number of trees the nursery will

plant next year, NEXT, if the number of bushes planted this year, NOW, is known?

a. NEXT = Now * 1/2

b. NEXT = 2 * NOW + 4

c. NEXT = Now * 2

d. NEXT = NOW - 4

42 There were originally 10 bushes in Mitchell’s nursery. Each year the Mitchells

planted the same number of bushes. In the 18th year, there were 280 bushes. Which

function b(n), can be used to determine the number of bushes in the nursery in any

particular year?

a b(n) = 15n + 10

b b(n) = 18n - 10

c b(n) = 280/18n + 10

d b(n) = 18n + 10


43 The vertices of quadrilateral ABCD are A(1,3), B(1, 1), C(-1, 1), and D(-1, 3). What

kind of quadrilateral is ABCD?

a Trapezoid

b Rectangle that is not a square

c Rhombus that is not a square

d Square

44 C is the midpoint of line segment AB. D is the midpoint of line segment CB.

A is located at (-2, -6) and B is at (10, 8). What are the coordinates of D?

a. (4,1)

b. (7, 4.5)

c. (1, -2.5)

d. (3, -1)

45 The sequence below shows the total number of days Katrina went swimming by the

end of weeks 1, 2, 3, and 4 of her new workout routine.

3, 5, 7, 9, …

Which function could be used to find the total number of days Katrina swims at the

end of week, w, if her pattern continues?

a S(w) = 5w - 2

b S(w) = 2w + 1

c S(w) = w + 2

d S(w) = 5w + 2

46 The circumference of a circle is approximately 25.13 inches. What is the

approximate diameter of the circle? (Circumference = 2πr)

a 3 in

b 4 in

c 6 in

d 8 in


47 The number of points scored by a football team in the first eight games of the

season are shown below.

7, 14, 13, 7, 21, 35, 7, 10, 14

What would happen to the data distribution if the team scored 10, 14, 14 in their

next 3 games?

a The mode would increase.

b The range would increase.

c The mean would increase.

d The data would remain the same because they have scored these amounts

before.

48 The table below shows the pants size and age of 5 boys.

Pants Size (Toddler Sizes - T)

Age (years)

3 3

4 3 5 6

6 5 7 6

Approximately what percent of the boys’ ages is more than 1 year different from the

age predicted by the line of best fit?

a 20%

b 40%

c 60%

d 80%


49 The scatterplot below shows the number of division errors students made on a test

and the amount of time they took to take the test.

Which statement best describes the graph shown above?

a There is a strong positive relationship between the variables.

b There is a strong negative relationship between the variables.

c There is a weak positive relationship between the variables.

d There is a weak negative relationship between the variable.

50 A white water raft can hold a maximum of 1000 pounds. What would be the best

measure of the people’s weight to know if an entire party can go on a white water

trip?

a Median

b Mode

c Mean

d Range


Algebra I/Integrated I READY End-of-Course Practice Assessment #2-ANSWER KEY

Calculator Inactive Calculator Active

1. D

2. D

3. C

4. A

5. D

6. 44

7. 3.50

8. 10

9. 3

10. 12

11. 4

12. 15

13. 21

14. 5

15. 2

16. D

17. C

18. A

19. D

20. C

21. D

22. B

23. D

24. B

25. D

26. B

27. A

28. D

29. A

30. B

31. C

32. D

33. B

34. C

35. D

36. B

37. C

38. D

39. A

40. C

41. A

42. A

43. D

44. B

45. B

46. D

47. A

48. A

49. C

50. C


Algebra I/Integrated I Algebra I/Integrated I

READY End-of-Course READY End-of-Course Practice Assessment#2

Practice Assessment #2 Calculator Active Answers

Calculator Inactive Answers Name:__________________________

Name:___________________

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

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Algebra I/Integrated I

READY End-of-Course Practice Assessment #2

Common Core Question Alignment

**All questions aligned with the Common Core Standards for High School Math **

1. Algebra (CED.A.2)


3. Algebra (APR.A.1)

4. Functions (IF.B.4)



7. Algebra (REI.C.5)

8. Algebra (REI.B.4b)

9. Functions (IF.C.8a)

10. Algebra (REI.C6)

11. Functions (IF.C7e)

12. Functions (IF.A2)

13. Functions (IF.C8a)

14. Functions (LE.A.2)

15. Num.&Quan

(NQ.A1)

16. Num.&Quan (RN.A1)




20. Num.&Quan (RN.A.1)


22. Functions (IF.C.9)

23. Functions (IF.A.2)

24. Functions (LE.A.1a)

25. Functions (LE.C.9)


27. Geometry (GPE.B.5)


29. Stats&Prob (ID.A.3)

30. Stats&Prob (IC.B.6)

31. Stats&Prob (IC.B.6)

32. Stats&Prob (ID.C.7)




36. Algebra (REI.D.11)

37. Functions (IF.A.1)


39. Functions (BF.A.1a)

40. Algebra (CED.A3)

41. Functions (BF.A.2)

42. Functions(BF.A.1)



45. Functions(BF.A.1)

46. Geometry (GMD.A.3)

47. Stats&Prob (ID.A.3)

48. Stats&Prob (ID.B.6a)

49. Stats&Prob (ID.B.6c)

50. Stats&Prob (IC.A.1)

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