examview - semester 1 final review -...

Name: ________________________ Class: ___________________ Date: __________ ID: A

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Semester 1 Final Review

Find the value of x that completes the statement.

1. x

36

106

a.53

b. 60 c. 10

What is an algebraic expression for the word phrase?

2. the difference of r and 3

a. 3r

b.r3

c. r – 3

3. 3 times the sum of b and f

a. 3(b + f )

b. 3 + b + f

c. 3b + f

What word phrase can you use to represent the algebraic expression?

4. 5x + 2

a. five times the sum of a number x and two

b. the sum of five times a number x and two

c. a number x times the sum of five and two

What is the simplified form of each expression?

5. 4(20 12) (4 3)

a. 92

b. 29

c. 128

6. 3 3 32 12 4

a. 867

b. 437

c. 291

7. Evaluate uz xy2

, for u = 20, x = 4, y = 7, and z = 10.

a. 294

b. 198

c. 786

8. Evaluate (ab) 2 for a = 4 and b = 3.

a. 36

b. 24

c. 144

Simplify each expression.

9. (8 + 7a) + 4

a. 12 + 7a

b. 12 + 11a

c. 8 + 11a

What is each sum?

10. –6 + (–3)

a. 3

b. –3

c. –9


11. (4 – c)(–1)

a. 4 – c

b. –4 + c

c. 4 + c


12. 8d 3w( )

a. 8d 3w

b. 8d 3w

c. 8d 3w

Is the equation true, false, or open? Explain.

13. 9p 8 10p 7

a. Open; there is a variable.

b. True; the expressions are the same for all values of the variables.

c. False; the expressions are never the same.

Name: ________________________ ID: A

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14. Is x = 1 a solution of the equation 2 – 8x = –6?

a. yes

b. no

15. Is (3, 13) a solution of the equation y = 4x?

a. yes

b. no

What is the solution of the equation?

16. w 2 3

a. –5

b. –1

c. 32

17. 7 h5

a. 35

b. –35

c. 7

5

18. –9 = 5

17n

a. 1745

b. 4517

c. 153

5


19. 16 = –d + 6

a. –15

b. –9

c. –10

20. Hannah wants to buy a $570 camera. She can save $50 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $80 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?

a. 11 weeks

b. 13 weeks

c. 15 weeks


21. 16 5 z

4

a. –1

b. 69

c. 59

22. b 6

5 10

a. 56

b. –4

c. 44


23. 2 6p 8 5p

a. 10

b. –6

c. 2

24. 6y 14 4y 32

a. 18

b. –9

c. 9

25. John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $12.00. They spend a total of $16.95. Find the cost of one large drink.

a. $1.65

b. $1.70

c. $2.48


26. 4(y + 2) = 32

a. 10

b. 6

c. 4

27. 70 = –7(–2 – 2z)

a. 4

b. 784

c. –112

28. 3p

5

85 1

a. –1

b. 2

c. 15


29. 6x – 3 = 5x – 5

a. –2

b. –1

c. –4

Name: ________________________ ID: A

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30. 3p 1 5(p 1) 2(7 2p)

a. 0

b. –9

c. 3

31. Which equation is an identity?

a. 8y 9 8y 3

b. 11 (2v 3) 2v 8

c. 5w 8 w 6w 2(w 4)

32. Which equation has no solution?

a. 7y 9 7y 6

b. 3w 4 w 5w 2(w 2)

c. 8 (5v 3) 5v 5

What is the solution of each equation?

33. 2(h 8) h h 16

a. 8

b. infinitely many solutions

c. no solution

34. 2 3z 5 3z

a. infinitely many solutions

b. 213

c. no solution

35. What equation do you get when you solve zm z bx for x?

a. x mb

b. x 2zm

b

c. x bm

36. Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the fastest average speed?

a. They all have the same average speed

b. Car B

c. Car A

37. You are shopping for jeans. City Express sells 3 pairs of jeans for $61. Denim Planet sells 2 pairs of jeans for $73. New Threads sells 4 pairs of jeans for $110. Which store has the best deal?

a. New Threads

b. City Express

c. Denim Planet

What is the solution of the proportion?

38. h8

192

a. 16

b. 76

c. –38

What is the solution of the proportion?

39. x 8

5

24

a.52

b. 18

c.212

40. w 14

4w 6

3

4

a.8

19

b.19

4

c.2

7

41. A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.

a. 25 gallons of gas

b. 31 gallons of gas

c. 115 gallons of gas

42. School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 80 students?

a. 6 chaperones

b. 3 chaperones

c. 7 chaperones

Name: ________________________ ID: A

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What are the variables in each graph? Describe how the variables are related at various points on the graph.

43. The graph shows the height of a hiker above sea level. The hiker walks at a constant speed for the entire trip. What are the variables? Describe how the variables are related at various points on the graph.

a. The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the hiker stopped to rest. The steep part at the end of the graph shows that the hiker is descending a gentle slope.

b. The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.

c. The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.

d. All of the above.

44. A new comedian is building a fan base. The table shows the number of people who attended his shows in the first, second, third and fourth month of his career. Which graph could represent the data shown in the table?

MonthTotal Number of

People1 1192 2143 385

4 693

a.

b.

c.

Name: ________________________ ID: A

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The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week.

Number of Sports Teams Free Time (hours)0 461 39

2 323 25

45. What is the graph for the above relationship?

a.

b.

c.

46. Is the above relationship a linear function?

a. yesb. no

Name: ________________________ ID: A

6

What is the graph of the function rule?

47. y 3x 2

a.

b.

c.

48. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

(3, 6), (1, 6), (5, 6), (8, 6)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

a.

The relation is a function.

b.

The relation is not a function.

c.

The relation is a function.

49. Identify the domain and range of the relation.

(9, 2), (4, 2), (3, 2), (9, 2)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

50. Identify the domain and range of the relation.

(4, 2), (9, 5), (4, 12), (8, 8)ÏÌÓÔÔÔÔ

¸˝̨ÔÔÔÔ

Name: ________________________ ID: A

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Use the vertical line test to determine whether the relation is a function.

51.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

52. The table shows the number of miles driven over time.

Time (hours) Distance (miles)

4 204

6 306

8 408

10 510

a. 10; Your car travels for 10 hours.

b.51

1; Your car travels 51 miles every 1 hour.

c.1

51; Your car travels 51 miles every 1 hour.

Name: ________________________ ID: A

8

Find the slope of the line.

53.

a. 2

b. 12

c. 2

54.

a. 43

b. – 34

c.34

What is the slope of the line that passes through the pair of points?

55. (1, 7), (10, 1)

a. 23

b. 32

c.23

What is the slope of the line?

56.

a. undefined

b. 0

57.

a. 0

b. undefined

Name: ________________________ ID: A

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What are the slope and y-intercept of the graph of the given equation?

58. y = –4x + 2

a. The slope is 4 and the y-intercept is –2.

b. The slope is –4 and the y-intercept is 2.

c. The slope is 2 and the y-intercept is –4.

59. y = 89

x 103

a. The slope is 89

and the y-intercept is 103

.

b. The slope is 98


.

c. The slope is 103


.

Write an equation of a line with the given slope and y-intercept.

60. m = –5, b = –3

a. y = 5x – 3

b. y = –5x – 3

c. y = –3x – 5

61. m = 35

, b = 13

a. y = 13

x + 35

b. y = 35

x + 13

c. y = 35

x – 13

Which number is a solution of the inequality?

62. 10.6 < b

a. 14 b. –18 c. –9

What is the graph of the inequality?

63. x 5

a.

b.

c.

What inequality describes the situation?

64. Let t = the amount Thomas earned. Thomas earned $49 or more.

a. t 49 b. t < 49 c. t 49

Name: ________________________ ID: A

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What are the solutions of the inequality? Graph the solutions.

65. x 3 12

a. x 12

3

b. x 9

c. x 15

66. Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.

a. d 12 51; d 75

b. d 12 51; d 63

c. d 12 51; d 75


67. x

9 9

a. x > 1

b. x > 81

c. x > 0

What are the solutions of the inequality? Graph and check the solutions.

68. x

4 2

a. x 8

b. x 8

c. x 8


69. 5x 10

a. x 2

b. x 2

c. x 5

Which is a solution of the inequality?

70. p + 4 – 2(p – 10) > 0

a. 26

b. 24

c. 22

What are the solutions of the inequality?

71. 2 3x 2( ) 6x 4

a. x 0

b. x 6

c. all real numbers

d. no solution

72. 10x 10 7x 3x 2

a. x 8

b. x 8

c. all real numbers

d. no solution

Name: ________________________ ID: A

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What are the solutions of the compound inequality? Graph the solutions.

73. –2 < 4x – 10 < 6

a. 3 < x < 1

b. –16 < x < –8

c. 2 < x < 4

What are the solutions of the compound inequality? Graph the solutions.

74. 2x – 2 < –12 or 2x + 3 > 7

a. x < 7 or x > 5

b. x < –5 or x > 2

c. x < –12 or x > 2

75. What is the graph of (–8, 2]?

a.

b.

c.

76. How do you write x 6 and x 3 in interval notation?

a. [–6, –3)

b. [–6, –3]

c. (–6, –3]

77. What is the graph of (,8) or (6,)?

a.

b.

c.

78. How do you write (, 8) or (10,) as an inequality?

a. x 10 or x 8

b. x 8 or x 10

c. x 8 and x 10

Name: ________________________ ID: A

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79. The function j(x) 39x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 5 minutes?a. 195 jumping jacksb. 7 jumping jacksc. 144 jumping jacksd. 234 jumping jacks

Write the slope-intercept form of the equation for the line.

80.

a. y = 34

x 1 c. y = 34

x 1

b. y = 43

x 1 d. y = 43

x 1

Write an equation in point-slope form for the line through the given point with the given slope.

81. (8, 3); m = 6a. y 3 6(x 8)b. y 3 6(x 8) c. y 3 6(x 8)d. y 3 6x 8

82. (3, –10); m = –0.83a. y – 10 = –0.83(x + 3)b. y – 10 = –0.83(x – 3)c. y – 3 = –0.83(x + 10)d. y + 10 = –0.83(x – 3)

Name: ________________________ ID: A

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83. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant’s height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months.

Time (months) Plant Height (cm)

3 15

5 25

7 35

9 45

a. y – 15 = 52

(x – 3)

b. y – 15 = 5(x – 3)

c. y – 3 = 52

(x – 15)

d. The relationship cannot be modeled.

84. The table shows the height above the ground of a helicopter taking off from the top of a building. What equation in point-slope form gives the helicopter’s height at any time? Let y stand for the height of the helicopter in m and let x stand for the time in seconds.

Time (s) Height (m)

3 24

5 40

7 56

9 72

a. y – 24 = 8(x –3)b. y – 3 = 4(x –24)c. y – 24 = 4(x –3)d. The relationship cannot be modeled.

Find the x- and y-intercept of the line.

85. 75

x 4y = 7

a. x-intercept is 74

; y-intercept is 5 c. x-intercept is 5; y-intercept is 74

b. x-intercept is 5; y-intercept is 74

d. x-intercept is 5; y-intercept is 74

Graph the equation.

86. y = 4x – 3a.

b.

Name: ________________________ ID: A

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c.

d.

87. y = –3x – 1a.

b.

c.

d.

88. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function and a graph.

Name: ________________________ ID: A

15

a.

b = 210 – 15xb.

b = 210 + 15x

c.

b = 195 + 15xd.

b = 195 – 15x

Match the equation with its graph.

89. –8x – 5y = 40

Name: ________________________ ID: A

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a.

b.

c.

d.

What is the graph of the equation?

90. y = –3a.

b.

Name: ________________________ ID: A

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c.

d.

91. x = –4a.

b.

c.

d.

Name: ________________________ ID: A

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92. A paint store sells exterior paint for $28.25 a gallon and paint rollers for $6.25 each. Write an equation in standard form for the number of gallons p of paint and rollers r that a customer could buy with $145.a. 28.25 + 6.25 = pb. 28.25p = 6.25r + 145c. 28.25r + 6.25p = 145d. 28.25p + 6.25r = 145

93. The grocery store sells dates for $4.00 a pound and pomegranates for $2.75 a pound. Write an equation in standard form for the weights of dates d and pomegranates p that a customer could buy with $12.a. 4p + 2.75d = 12b. 4d = 2.75p + 12c. 4d + 2.75p = 12d. 4 + 2.75 = d

94. Find the slope of the line passing through (-12,-1) and (-3, -4)a. 1/3b. -3c. -1/3d. 3

95. Find the slope of the line passing through (-11, 7) and (-11, -2)a. undefined slopeb. 0c. 11d. 9

96.

Write the equation of the following line.

a. x = -1b. y = -xc. y = -1d. y = x-1

97. A local gas station is offering a deal to their customers. If they purchase an $8.00 car wash, the cost per gallon of gas is $2.60. Write and solve a linear equaiton to find how many gallons you can afford if you have $40.a. y = 2.60x + 8.00; 12.31 gallonsb. y = 8x + 2.60; 4.675 gallonsc. y = 2.60x + 8.00; 112 gallonsd. y = 2.60x + 8.00; 18.46 gallons

98. Amy deposited dimes and quarters into the Coinstar machine at her local gorcery store. The total money she deposited was $11.35. If Amy had 26 dimes, write and solve a linear equation to find the number of quarters she had.a. .10x + 26y = 11.35; 35 quartersb. .10x + .25y = 26; 19 quartersc. .10x + .25y = 11.35; 48 quartersd. .10x + .25y = 11.35; 35 quarters

Name: ________________________ ID: A

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99. To sign-up for Tivo, you must purchase the DVR recorder upfront, then pay $19,95 per month for service. Eight months after signing up, Martha had paid a total of 288.60 for the recorder and service. Write and solve a linear equation to find the total amount she will have paid for the 2-year agreement she signed.a. y=19.95x + 129; $607.80b. y=19.95x + 129; $168.90c. y=19.95x + 288.60; $767.40d. y=19.95x + 288; $327.90

100. The cost of a classified ad is based on a daily rate plus a flat service fee. One day costs $3.50 and four days costs $8.00. Write and solve a linear equation to find the flat service fee.a. y=1.50x + 2.00; $8.00b. y=1.50x + 3.50; $3.50c. y=1.50x + 2.00; $2.00d. y=1.50x + 3.50; $8.00

ID: A

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Semester 1 Final ReviewAnswer Section

1. ANS: B PTS: 1 DIF: L2 REF: 0-4 Simplifying FractionsOBJ: Simplifying Fractions TOP: Skills Handbook: Simplifying FractionsKEY: proportion

2. ANS: C PTS: 1 DIF: L2 REF: 1-1 Variables and ExpressionsOBJ: 1-1.1 To write algebraic expressions NAT: CC A.SSE.1.a| A.1.a| A.3.b STA: A1.9.1 TOP: 1-1 Problem 1 Writing Expressions With Addition and SubtractionKEY: algebraic expression | variable

3. ANS: A PTS: 1 DIF: L3 REF: 1-1 Variables and ExpressionsOBJ: 1-1.1 To write algebraic expressions NAT: CC A.SSE.1.a| A.1.a| A.3.b STA: A1.9.1 TOP: 1-1 Problem 3 Writing Expressions With Two Operations KEY: algebraic expression | variable

4. ANS: B PTS: 1 DIF: L3 REF: 1-1 Variables and ExpressionsOBJ: 1-1.1 To write algebraic expressions NAT: CC A.SSE.1.a| A.1.a| A.3.b STA: A1.9.1 TOP: 1-1 Problem 4 Using Words for an Expression KEY: algebraic expression | variable | quantity

5. ANS: C PTS: 1 DIF: L3 REF: 1-2 Order of Operations and Evaluating ExpressionsOBJ: 1-2.2 To use the order of operations to evaluate expressions NAT: CC A.SSE.1.a| N.3.a| N.5.eSTA: A1.1.4 TOP: 1-2 Problem 2 Simplifying a Numerical Expression KEY: power | exponent | base | simplify | evaluate

6. ANS: A PTS: 1 DIF: L3 REF: 1-2 Order of Operations and Evaluating ExpressionsOBJ: 1-2.2 To use the order of operations to evaluate expressions NAT: CC A.SSE.1.a| N.3.a| N.5.eSTA: A1.1.4 TOP: 1-2 Problem 2 Simplifying a Numerical Expression KEY: power | exponent | base | simplify | evaluate

7. ANS: B PTS: 1 DIF: L4 REF: 1-2 Order of Operations and Evaluating ExpressionsOBJ: 1-2.2 To use the order of operations to evaluate expressions NAT: CC A.SSE.1.a| N.3.a| N.5.eSTA: A1.1.4 TOP: 1-2 Problem 3 Evaluating Algebraic Expressions KEY: power | exponent | base | simplify | evaluate

8. ANS: C PTS: 1 DIF: L3 REF: 1-2 Order of Operations and Evaluating ExpressionsOBJ: 1-2.2 To use the order of operations to evaluate expressions NAT: CC A.SSE.1.a| N.3.a| N.5.eSTA: A1.1.4 TOP: 1-2 Problem 3 Evaluating Algebraic Expressions KEY: power | exponent | base | simplify | evaluate

9. ANS: A PTS: 1 DIF: L3 REF: 1-4 Properties of Real NumbersOBJ: 1-4.1 To identify and use properties of real numbers NAT: CC N.RN.3| N.1.d| N.3.d| N.5.f| N.6.a| A.3.dSTA: A1.1.3| A1.9.8 TOP: 1-4 Problem 3 Writing Equivalent Expressions KEY: equivalent expressions

10. ANS: C PTS: 1 DIF: L2 REF: 1-5 Adding and Subtracting Real NumbersOBJ: 1-5.1 To find sums and differences of real numbers NAT: CC N.RN.3| N.1.d| N.3.b| N.3.c| N.3.d| A.3.cSTA: A1.9.1 TOP: 1-5 Problem 2 Adding Real Numbers KEY: opposites | additive inverses

11. ANS: B PTS: 1 DIF: L3 REF: 1-7 The Distributive PropertyOBJ: 1-7.1 To use the Distributive Property to simplify expressions NAT: CC A.SSE.1.a| N.1.d| N.3.b| N.3.c| N.3.d| A.3.cSTA: A1.1.3 TOP: 1-7 Problem 1 Simplifying Expressions KEY: Distributive Property | coefficient | term | like terms

12. ANS: C PTS: 1 DIF: L2 REF: 1-7 The Distributive PropertyOBJ: 1-7.1 To use the Distributive Property to simplify expressions NAT: CC A.SSE.1.a| N.1.d| N.3.b| N.3.c| N.3.d| A.3.cSTA: A1.1.3 TOP: 1-7 Problem 3 Using the Multiplication Property of -1 KEY: Distributive Property | coefficient | term | like terms

13. ANS: A PTS: 1 DIF: L4 REF: 1-8 An Introduction to EquationsOBJ: 1-8.1 To solve equations using tables and mental math NAT: CC A.CED.1| N.2.b| A.3.bSTA: A1.2.1| A1.9.1 TOP: 1-8 Problem 1 Classifying Equations KEY: equation | open sentence

14. ANS: A PTS: 1 DIF: L3 REF: 1-8 An Introduction to EquationsOBJ: 1-8.1 To solve equations using tables and mental math NAT: CC A.CED.1| N.2.b| A.3.bSTA: A1.2.1| A1.9.1 TOP: 1-8 Problem 2 Identifying Solutions of an Equation KEY: solution of an equation

15. ANS: B PTS: 1 DIF: L3 REF: 1-9 Patterns, Equations, and GraphsOBJ: 1-9.1 To use tables, equations, and graphs to describe relationships NAT: CC A.CED.2| CC A.REI.10| A.1.aSTA: A1.3.1| A1.9.1 TOP: 1-9 Problem 1 Identifying Solutions of a Two-Variable EquationKEY: solution of an equation

16. ANS: B PTS: 1 DIF: L2 REF: 2-1 Solving One-Step EquationsOBJ: 2-1.1 To solve one-step equations in one variable NAT: CC A.CED.1| CC A.REI.3| A.4.a| A.4.cSTA: A1.2.1| A1.9.3| A1.9.4 TOP: 2-1 Problem 2 Solving an Equation Using AdditionKEY: Addition Property of Equality | equivalent equations | isolate | inverse operations

17. ANS: B PTS: 1 DIF: L2 REF: 2-1 Solving One-Step EquationsOBJ: 2-1.1 To solve one-step equations in one variable NAT: CC A.CED.1| CC A.REI.3| A.4.a| A.4.cSTA: A1.2.1| A1.9.3| A1.9.4 TOP: 2-1 Problem 4 Solving an Equation Using MultiplicationKEY: Multiplication Property of Equality | equivalent equations | isolate | inverse operations

ID: A

3

34. ANS: C PTS: 1 DIF: L3 REF: 2-4 Solving Equations With Variables on Both SidesOBJ: 2-4.2 To identify equations that are identities or have no solution NAT: CC A.CED.1| CC A.REI.1| CC A.REI.3| A.4.a| A.4.cSTA: A1.2.1| A1.1.3| A1.2.6| A1.9.3 TOP: 2-4 Problem 4 Identities and Equations With No SolutionKEY: identity | no solution

35. ANS: A PTS: 1 DIF: L3 REF: 2-5 Literal Equations and FormulasOBJ: 2-5.1 To rewrite and use literal equations and formulas NAT: CC N.Q.1| CC A.CED.1| CC A.CED.4| CC A.REI.1| CC A.REI.3| A.4.a| A.4.c| A.4.e| A.4.f STA: A1.2.2| A1.2.6| A1.9.3 TOP: 2-5 Problem 2 Rewriting a Literal Equation With Only VariablesKEY: literal equation

36. ANS: B PTS: 1 DIF: L3 REF: 2-6.1 To find ratios and ratesOBJ: 2-6.1 To find ratios and rates NAT: CC N.Q.1| CC N.Q.2| N.3.b| N.3.f| M.1.i| M.2.bSTA: A1.1.5| A1.9.2 TOP: 2-6 Problem 1 Comparing Unit Rates KEY: ratio | unit rate | rate

37. ANS: B PTS: 1 DIF: L3 REF: 2-6 Ratios, Rates, and ConversionsOBJ: 2-6.1 To find ratios and rates NAT: CC N.Q.1| CC N.Q.2| N.3.b| N.3.f| M.1.i| M.2.bSTA: A1.1.5| A1.9.2 TOP: 2-6 Problem 1 Comparing Unit Rates KEY: ratio | rate | unit rate

38. ANS: B PTS: 1 DIF: L3 REF: 2-7 Solving ProportionsOBJ: 2-7.1 To solve and apply proportions NAT: CC N.Q.1| CC A.CED.1| CC A.REI.3| N.3.b| N.3.f| N.4.cSTA: A1.1.3| A1.2.1| A1.7.2 TOP: 2-7 Problem 1 Solving a Proportion Using the Multiplication PropertyKEY: proportion

39. ANS: C PTS: 1 DIF: L2 REF: 2-7 Solving ProportionsOBJ: 2-7.1 To solve and apply proportions NAT: CC N.Q.1| CC A.CED.1| CC A.REI.3| N.3.b| N.3.f| N.4.cSTA: A1.1.3| A1.2.1| A1.7.2 TOP: 2-7 Problem 3 Solving a Multi-Step ProportionKEY: proportion | cross products | Cross Products Property

40. ANS: B PTS: 1 DIF: L3 REF: 2-7 Solving ProportionsOBJ: 2-7.1 To solve and apply proportions NAT: CC N.Q.1| CC A.CED.1| CC A.REI.3| N.3.b| N.3.f| N.4.cSTA: A1.1.3| A1.2.1| A1.7.2 TOP: 2-7 Problem 3 Solving a Multi-Step ProportionKEY: proportion | cross products | Cross Products Property

41. ANS: A PTS: 1 DIF: L2 REF: 2-7 Solving ProportionsOBJ: 2-7.1 To solve and apply proportions NAT: CC N.Q.1| CC A.CED.1| CC A.REI.3| N.3.b| N.3.f| N.4.cSTA: A1.1.3| A1.2.1| A1.7.2 TOP: 2-7 Problem 4 Using a Proportion to Solve a ProblemKEY: create an equation | cross products | Cross Products Property

42. ANS: C PTS: 1 DIF: L3 REF: 2-7 Solving ProportionsOBJ: 2-7.1 To solve and apply proportions NAT: CC N.Q.1| CC A.CED.1| CC A.REI.3| N.3.b| N.3.f| N.4.cSTA: A1.1.3| A1.2.1| A1.7.2 TOP: 2-7 Problem 4 Using a Proportion to Solve a ProblemKEY: create an equation | cross products | Cross Products Property

43. ANS: B PTS: 1 DIF: L3 REF: 4-1 Using Graphs to Relate Two QuantitiesOBJ: 4-1.1 To represent mathematical relationships using graphs NAT: CC F.IF.4STA: A1.3.1| A1.3.2 TOP: 4-1 Problem 1 Analyzing a Graph KEY: interpreting a graph

44. ANS: C PTS: 1 DIF: L3 REF: 4-1 Using Graphs to Relate Two QuantitiesOBJ: 4-1.1 To represent mathematical relationships using graphs NAT: CC F.IF.4STA: A1.3.1| A1.3.2 TOP: 4-1 Problem 2 Matching a Table and a Graph KEY: sketching a graph | modeling a relationship

45. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear FunctionsOBJ: 4-2.1 To identify and represent patterns that describe linear functions NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.b| A.1.e| A.1.hSTA: A1.3.1| A1.3.3 TOP: 4-2 Problem 2 Representing a Linear Function KEY: dependent variable | independent variable | function | linear function | sketching a graph | modeling a relationship

46. ANS: A PTS: 1 DIF: L3 REF: 4-2 Patterns and Linear FunctionsOBJ: 4-2.1 To identify and represent patterns that describe linear functions NAT: CC A.REI.10| CC F.IF.4| A.1.a| A.1.b| A.1.e| A.1.hSTA: A1.3.1| A1.3.3 TOP: 4-2 Problem 2 Representing a Linear Function KEY: dependent variable | independent variable | function | linear function | create equations in two variables

47. ANS: B PTS: 1 DIF: L2 REF: 4-4 Graphing a Function RuleOBJ: 4-4.1 To graph equations that represent functions NAT: CC N.Q.1| CC A.REI.10| CC F.IF.5| A.1.bSTA: A1.3.1| A1.4.1| A1.8.1| A1.9.2 TOP: 4-4 Problem 1 Graphing a Function RuleKEY: continuous graph

48. ANS: C PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and FunctionsOBJ: 4-6.1 To determine whether a relation is a function NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.fSTA: A1.3.3| A1.3.4| A1.9.2 TOP: 4-6 Problem 1 Identifying Functions Using Mapping DiagramsKEY: relation | domain | range

49. ANS: The domain is {–9, –4, 3, 9}.The range is {2}.

PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and FunctionsOBJ: 4-6.2 To find domain and range and use function notation NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.fSTA: A1.3.3| A1.3.4| A1.9.2 TOP: 4-6 Problem 1 Identifying Functions Using Mapping DiagramsKEY: relation | domain | range

ID: A

4

50. ANS: The domain is {–9, –4, 8}.The range is {–8, –5, 2, 12}.

PTS: 1 DIF: L3 REF: 4-6 Formalizing Relations and FunctionsOBJ: 4-6.2 To find domain and range and use function notation NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.fSTA: A1.3.3| A1.3.4| A1.9.2 TOP: 4-6 Problem 1 Identifying Functions Using Mapping DiagramsKEY: relation | domain | range

51. ANS: The relation is a function.

PTS: 1 DIF: L2 REF: 4-6 Formalizing Relations and FunctionsOBJ: 4-6.1 To determine whether a relation is a function NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.fSTA: A1.3.3| A1.3.4| A1.9.2 TOP: 4-6 Problem 2 Identifying Functions Using the Vertical Line TestKEY: relation | function | vertical line test

52. ANS: B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.1 To find rates of change from tables NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 1 Finding Rate of Change Using a Table KEY: find rate of change | interpret rate of change

53. ANS: B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 2 Finding Slope Using a Graph KEY: slope

54. ANS: C PTS: 1 DIF: L3 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 2 Finding Slope Using a Graph KEY: slope

55. ANS: A PTS: 1 DIF: L2 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 3 Finding Slope Using Points KEY: slope

56. ANS: B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical LinesKEY: slope

57. ANS: B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and SlopeOBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.bSTA: A1.4.2 TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical LinesKEY: slope

58. ANS: B PTS: 1 DIF: L2 REF: 5-3 Slope-Intercept FormOBJ: 5-3.1 To write linear equations using slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.bSTA: A1.4.1| A1.4.2| A1.4.3| A1.4.4 TOP: 5-3 Problem 1 Identifying Slope and y-interceptKEY: linear equation | y-intercept | slope-intercept form

59. ANS: A PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept FormOBJ: 5-3.1 To write linear equations using slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.bSTA: A1.4.1| A1.4.2| A1.4.3| A1.4.4 TOP: 5-3 Problem 1 Identifying Slope and y-interceptKEY: linear equation | y-intercept | slope-intercept form

60. ANS: B PTS: 1 DIF: L2 REF: 5-3 Slope-Intercept FormOBJ: 5-3.1 To write linear equations using slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.bSTA: A1.4.1| A1.4.2| A1.4.3| A1.4.4 TOP: 5-3 Problem 2 Writing an Equation in Slope-Intercept FormKEY: linear equation | slope-intercept form | y-intercept

61. ANS: B PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept FormOBJ: 5-3.1 To write linear equations using slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.bSTA: A1.4.1| A1.4.2| A1.4.3| A1.4.4 TOP: 5-3 Problem 2 Writing an Equation in Slope-Intercept FormKEY: linear equation | slope-intercept form | y-intercept

62. ANS: A PTS: 1 DIF: L3 REF: 3-1 Inequalities and Their GraphsOBJ: 3-1.1 To write, graph, and identify solutions of inequalities NAT: CC A.REI.3STA: A1.2.3 TOP: 3-1 Problem 2 Identifying Solutions by Evaluating KEY: solution of an inequality

63. ANS: B PTS: 1 DIF: L2 REF: 3-1 Inequalities and Their GraphsOBJ: 3-1.1 To write, graph, and identify solutions of inequalities NAT: CC A.REI.3STA: A1.2.3 TOP: 3-1 Problem 3 Graphing an Inequality KEY: solution of an inequality

ID: A

5

64. ANS: A PTS: 1 DIF: L3 REF: 3-1 Inequalities and Their GraphsOBJ: 3-1.1 To write, graph, and identify solutions of inequalities NAT: CC A.REI.3STA: A1.2.3 TOP: 3-1 Problem 5 Writing Real-World Inequalities KEY: create inequalities in one variable | solution of an inequality

65. ANS: B PTS: 1 DIF: L3 REF: 3-2 Solving Inequalities Using Addition or SubtractionOBJ: 3-2.1 To use addition or subtraction to solve inequalities NAT: CC A.CED.1| CC A.REI.3STA: A1.2.4| A1.2.6 TOP: 3-2 Problem 1 Using the Addition Property of Inequality KEY: equivalent inequalities

66. ANS: B PTS: 1 DIF: L3 REF: 3-2 Solving Inequalities Using Addition or SubtractionOBJ: 3-2.1 To use addition or subtraction to solve inequalities NAT: CC A.CED.1| CC A.REI.3STA: A1.2.4| A1.2.6 TOP: 3-2 Problem 4 Writing and Solving an Inequality KEY: create inequalities in one variable | problem solving

67. ANS: B PTS: 1 DIF: L3 REF: 3-3 Solving Inequalities Using Multiplication or Division OBJ: 3-3.1 To use multiplication or division to solve inequalities NAT: CC N.Q.2| CC A.CED.1| CC A.REI.3STA: A1.2.4| A1.2.6 TOP: 3-3 Problem 1 Multiplying by a Positive Number

68. ANS: A PTS: 1 DIF: L3 REF: 3-3 Solving Inequalities Using Multiplication or Division OBJ: 3-3.1 To use multiplication or division to solve inequalities NAT: CC N.Q.2| CC A.CED.1| CC A.REI.3STA: A1.2.4| A1.2.6 TOP: 3-3 Problem 2 Multiplying by a Negative Number

69. ANS: B PTS: 1 DIF: L3 REF: 3-3 Solving Inequalities Using Multiplication or Division OBJ: 3-3.1 To use multiplication or division to solve inequalities NAT: CC N.Q.2| CC A.CED.1| CC A.REI.3STA: A1.2.4| A1.2.6 TOP: 3-3 Problem 4 Dividing by a Negative Number

70. ANS: C PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step InequalitiesOBJ: 3-4.1 To solve multi-step inequalities NAT: CC A.CED.1| CC A.REI.3 STA: A1.1.3| A1.2.4| A1.2.6 TOP: 3-4 Problem 3 Using the Distributive Property

71. ANS: C PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step InequalitiesOBJ: 3-4.1 To solve multi-step inequalities NAT: CC A.CED.1| CC A.REI.3 STA: A1.1.3| A1.2.4| A1.2.6 TOP: 3-4 Problem 5 Inequalities With Special Solutions

72. ANS: D PTS: 1 DIF: L3 REF: 3-4 Solving Multi-Step InequalitiesOBJ: 3-4.1 To solve multi-step inequalities NAT: CC A.CED.1| CC A.REI.3 STA: A1.1.3| A1.2.4| A1.2.6 TOP: 3-4 Problem 5 Inequalities With Special Solutions

73. ANS: C PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.1 To solve and graph inequalities containing the word and NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 2 Solving a Compound Inequality Involving AndKEY: compound inequality

74. ANS: B PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.2 To solve and graph inequalities containing the word or NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 4 Solving a Compound Inequality Involving Or KEY: compound inequality

75. ANS: A PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.1 To solve and graph inequalities containing the word and NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality | interval notation

76. ANS: A PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.1 To solve and graph inequalities containing the word and NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality | interval notation

77. ANS: A PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.2 To solve and graph inequalities containing the word or NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality | interval notation

78. ANS: B PTS: 1 DIF: L3 REF: 3-6 Compound InequalitiesOBJ: 3-6.2 To solve and graph inequalities containing the word or NAT: CC A.CED.1| CC A.REI.3STA: A1.2.5| A1.2.6 TOP: 3-6 Problem 5 Using Interval Notation KEY: compound inequality | interval notation

79. ANS: A PTS: 1 DIF: L2 REF: 4-6 Formalizing Relations and FunctionsOBJ: 4-6.2 To find domain and range and use function notation NAT: CC F.IF.1| CC F.IF.2| N.2.c| A.1.b| A.1.g| A.1.i| A.3.fSTA: A1.3.3| A1.3.4| A1.9.2 TOP: 4-6 Problem 3 Evaluating a FunctionKEY: function notation

80. ANS: B PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept FormOBJ: 5-3.2 To graph linear equations in slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.bSTA: A1.4.1| A1.4.2| A1.4.3| A1.4.4 TOP: 5-3 Problem 3 Writing an Equation From a GraphKEY: slope-intercept form | linear equation | y-intercept

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