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Library GuideGrade 8

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Welcome

Thank you for purchasing this Accelerated Math Library. Libraries include the objectives for a specific grade level, math subject, state requirements, or textbook. Each library includes enough objectives to cover a complete year of math. Libraries are designed to follow common curriculum guidelines and the content of widely used math textbooks.

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Contents Topic 1 - The Number System .........................................................................1

Obj. 1 - Convert a fraction to a repeating decimal number ....................1 Obj. 2 - Convert a repeating decimal to a fraction or a mixed number .........................................................................................1 Obj. 3 - Evaluate the square root of a perfect square up to 144 .......................................................................................................1 Obj. 4 - Evaluate the cube root of a perfect cube up to 1000 .........................................................................................................1 Obj. 5 - Identify rational or irrational numbers......................................2 Obj. 6 - Approximate the location of an irrational number on a number line......................................................................................2 Obj. 7 - Approximate the value of an irrational expression....................3

Topic 2 - Expressions and Equations ..............................................................4 Obj. 8 - Evaluate an integer raised to a whole-number exponent..........4 Obj. 9 - Evaluate an integer raised to a zero or negative-integer power .......................................................................................................4 Obj. 10 - Evaluate a fraction raised to a whole-number exponent ..................................................................................................4 Obj. 11 - Evaluate a fraction raised to a zero or negative-integer exponent ..................................................................................................4 Obj. 12 - Apply the product of powers property to a monomial numerical expression ..............................................................................5 Obj. 13 - Apply the power of a product property to a monomial numerical expression ..............................................................................5 Obj. 14 - Apply the power of a power property to a monomial

numerical expression ..............................................................................5 Obj. 15 - Apply the quotient of powers property to monomial numerical expressions.............................................................................6 Obj. 16 - Solve a simple quadratic equation............................................6 Obj. 17 - Solve a simple cubic equation...................................................7 Obj. 18 - Convert a whole number greater than 10 to scientific notation....................................................................................................7 Obj. 19 - Convert a whole number greater than 10 from scientific notation to standard form .......................................................................7 Obj. 20 - Convert a number less than 1 to scientific notation ................8 Obj. 21 - Convert a number less than 1 from scientific notation to standard form .......................................................................8 Obj. 22 - Represent a quantity using scientific notation ........................8 Obj. 23 - Use scientific notation to estimate a very large or a very small quantity ...........................................................................8 Obj. 24 - Compare two numbers written in scientific notation..............9 Obj. 25 - Compare the relative size of two numbers written in scientific notation................................................................................9 Obj. 26 - Add or subtract numbers written in standard form and scientific notation.............................................................................9 Obj. 27 - Add or subtract numbers written in scientific notation....................................................................................................9 Obj. 28 - Multiply or divide numbers written in standard form and scientific notation ....................................................................10 Obj. 29 - Multiply or divide numbers written in scientific notation....................................................................................................10 Obj. 30 - WP: Add or subtract numbers written in scientific notation....................................................................................................10 Obj. 31 - WP: Multiply or divide numbers written in scientific notation....................................................................................................11 Obj. 32 - WP: Determine the graph of a proportional relationship .......12 Obj. 33 - Determine the slope between three distinct points on the same line.......................................................................................16 Obj. 34 - Compare two proportional relationships represented in different ways ......................................................................................17 Obj. 35 - Determine the number of solutions for a 1-variable linear equation.........................................................................................19 Obj. 36 - Solve a multi-step linear equation with variables on one side of the equal sign ...................................................................19 Obj. 37 - Solve a multi-step linear equation that has variables on one side of the equal sign and involves distribution .........................19 Obj. 38 - Solve a 2-step linear equation with variables on both sides of the equal sign ................................................................20 Obj. 39 - Solve a multi-step linear equation with variables on both sides of the equal sign ................................................................20 Obj. 40 - Solve a multi-step linear equation that has variables on both sides of the equal sign and involves distribution ......................21

Obj. 41 - Identify the number of solutions in a system of two linear equations represented graphically.....................................21 Obj. 42 - Solve a system of two linear equations in slope-intercept form using substitution ...........................................................................23 Obj. 43 - Solve a system of two linear equations given in slope-intercept and standard forms using substitution .....................23 Obj. 44 - Solve a system of two linear equations given in standard form using elimination ........................................................23 Obj. 45 - Determine the number of solutions to a system of two linear equations by inspection .....................................................24 Obj. 46 - Determine a system of two linear equations in two variables that represents a problem relating two numbers.............24 Obj. 47 - Solve a number problem that can be represented by two linear equations in two variables.................................................25 Obj. 48 - WP: Determine a system of two linear equations in two variables that represents a given situation ..................................25 Obj. 49 - WP: Solve a problem that can be represented by a system of linear equations....................................................................26 Topic 3 - Functions ..........................................................................................28 Obj. 50 - Determine if a relation expressed as a table is a function .............................................................................................28 Obj. 51 - Determine if a relation expressed as a graph is a function .............................................................................................28 Obj. 52 - Compare a linear function represented algebraically to a linear function represented in a graph.............................................31 Obj. 53 - Compare a linear function represented algebraically to a linear function represented in a table ..............................................33 Obj. 54 - Compare a description of a linear function to a linear function represented algebraically.............................................34 Obj. 55 - Compare a description of a linear function to a linear function represented in a graph.................................................35 Obj. 56 - Compare a description of a linear function to a linear function represented in a table ..................................................36 Obj. 57 - Compare a linear function represented in a table to a linear function represented in a graph.............................................37 Obj. 58 - Determine if a function is linear or nonlinear .........................38 Obj. 59 - Determine whether a graph represents a linear or nonlinear function ..............................................................................39 Obj. 60 - Determine whether a table represents a linear or nonlinear function ..............................................................................40 Obj. 61 - WP: Determine the graph that models a function given in a description ..............................................................................41 Obj. 62 - Determine the rate of change or initial value of a function given a graph, a table, or two (x, y) values ........................45 Obj. 63 - Determine an equation in the form y = mx that represents a table of values .....................................................................46 Obj. 64 - WP: Determine an equation in the form y = mx

that represents a table of values..............................................................47 Obj. 65 - Determine an equation in the form y = mx that represents a line passing through the origin ..........................................48 Obj. 66 - WP: Determine an equation in the form y = mx that represents a line passing through the origin ...................................50 Obj. 67 - Determine an equation in the form y = mx + b that represents a table of values..............................................................54 Obj. 68 - Determine an equation in the form y = mx + b that represents a graphed line.................................................................54 Obj. 69 - WP: Determine an equation in the form y = mx + b that represents a table of values........................................................55 Obj. 70 - WP: Determine an equation in the form y = mx + b that represents a graphed line ..........................................................57 Topic 4 - Geometry ..........................................................................................60 Obj. 71 - Determine a sequence of transformations that maps one figure onto a congruent figure ................................................60 Obj. 72 - Determine the coordinates of a translated, dilated, rotated, or reflected shape on the Cartesian plane .................................62 Obj. 73 - Determine a sequence of transformations that maps one figure onto a similar figure .....................................................66 Obj. 74 - Determine the length of the hypotenuse of a right triangle using the Pythagorean theorem.................................................68 Obj. 75 - Determine the length of a leg of a right triangle using the Pythagorean theorem ..............................................................69 Obj. 76 - Determine the length of a side of a right triangle using the Pythagorean theorem, answers in radical form......................70 Obj. 77 - WP: Find an unknown side length in a right triangle using the Pythagorean Theorem .............................................................71 Obj. 78 - Determine a distance on the Cartesian plane using the Pythagorean theorem ........................................................................71 Obj. 79 - Determine the volume of a cylinder .........................................72 Obj. 80 - Determine the volume of a cone ..............................................73 Obj. 81 - Solve a problem involving the volume of a cone or cylinder................................................................................................74 Obj. 82 - Determine the volume of a sphere or hemisphere ..................75 Obj. 83 - WP: Determine the volume of a cylinder or cone....................76 Obj. 84 - WP: Determine the volume of a sphere or hemisphere ..........76 Topic 5 - Statistics and Probability..................................................................78 Obj. 85 - Use a scatter plot to organize data ...........................................78 Obj. 86 - Identify a pattern of association between two quantities .................................................................................................80 Obj. 87 - Approximate a trend line for a scatter plot..............................82 Obj. 88 - Use a two-way table to summarize data on two categorical variables collected from the same subjects ..........................84

Topic 1 - The Number System

Obj. 1 - Convert a fraction to a repeating decimal number

1. 118

= [A] 0.05 [B] 0.056 [C] 0.05 [D] 0.56

2. 1915

= [A] 1.26 [B] 1.267 [C] 1.26 [D] 1.267

Obj. 2 - Convert a repeating decimal to a fraction or a mixed number

3. Which number is equivalent to 0 15. ? [A] 1 12

[B] 320

[C] 533

[D] 110

4. Which number is equivalent to 5745. ?

[A] 5 4155

[B] 5149200

[C] 5 369500

[D] 5 2027

Obj. 3 - Evaluate the square root of a perfect square up to 144

5. 1 = [A] 0.5 [B] 2 [C] 0.1 [D] 1

6. 116

= [A] 12

[B] 16

[C] 14

[D] 18

Obj. 4 - Evaluate the cube root of a perfect cube up to 1000

7. 83 = [A] 3 [B] 2 [C] 1 [D] 4

8. 1343

3 = [A] 114

[B] 15

[C] 17

[D] 149

1


Obj. 5 - Identify rational or irrational numbers

9. Which list contains only irrational numbers?

[A] 0 99 81 4. , , π [B] 16 3 107

, , π [C] 15 316

0 58, , . [D] 87 10, , π

10. Which list contains only rational numbers?

[A] 6 49, , π [B] 613

0 94 100, . , [C] 0 5 3 67. , , π [D] 4 7 117

π , ,

Obj. 6 - Approximate the location of an irrational number on a number line

11. One of the number lines shows the approximate location of 27 . Which number line is it?

[A]3 4 5 6 7

[B]3 4 5 6 7

[C]3 4 5 6 7

[D]3 4 5 6 7

2


12. One of the number lines shows the approximate location of 393

. Which number line is it?

[A]1 2 3 4 5 6 7

[B]1 2 3 4 5 6 7

[C]1 2 3 4 5 6 7

[D]1 2 3 4 5 6 7

Obj. 7 - Approximate the value of an irrational expression

13. Which statement is true about the approximate value of 2 37 ?

[A] It is slightly less than 11. [B] It is slightly less than 12.

[C] It is slightly more than 13. [D] It is slightly more than 12.

14. Which statement is true about the approximate value of 833

?

[A] It is between 3 and 4. [B] It is between 5 and 6.

[C] It is between 2 and 3. [D] It is between 4 and 5.

3

Topic 2 - Expressions and Equations

Obj. 8 - Evaluate an integer raised to a whole-number exponent

1. – 6 2b g = [A] 12 [B] 36 [C] –12 [D] – 36

2. − =– 7 3b g [A] – 21 [B] 21 [C] – 343 [D] 343

3. 42 = [A] 64 [B] 16 [C] 4 [D] 8

Obj. 9 - Evaluate an integer raised to a zero or negative-integer power

4. – –8 4b g = [A] 14096

[B] −1

4096[C] −

132

[D] 132

5. − =12 1– [A] 112

[B] −1

12[C] −12 [D] 12

6. 11 1– = [A] 11 [B] −1

11[C] −11 [D] 1

11

Obj. 10 - Evaluate a fraction raised to a whole-number exponent

7. 54

3FHG

IKJ = [A] 15

4[B] 25

64[C] 125

64[D] 125

4

8. − FHG

IKJ =

47

3

[A] −64343

[B] 64343

[C] 647

[D] −647

Obj. 11 - Evaluate a fraction raised to a zero or negative-integer exponent

9. −FHGIKJ =

97

4–

[A] −65612401

[B] 24016561

[C] −24016561

[D] 65612401

4


10. 65

0FHG

IKJ = [A] 0 [B] 6

5[C] 1 [D] 1

5

11. 67

2FHG

IKJ =

−

[A] 3649

[B] −367

[C] −4936

[D] 4936

12. − FHG

IKJ =

14

2–

[A] 116

[B] 16 [C] −16 [D] −1

16

Obj. 12 - Apply the product of powers property to a monomial numerical expression

13. 5 56 5⋅ = [A] 530 [B] 2530 [C] 2511 [D] 511

14. – ––2 215 7b g b g⋅ = [A] −1

2105 [B] 12 8–b g [C] −

14105 [D] 1

48

15. – –8 87 5b g b g⋅ = [A] 6435 [B] – 835 [C] 6412 [D] – 8 12b g

16. – –12 120 5b g b g⋅ = [A] –12 [B] –12 5b g [C] 1445 [D] 144

17. 14 1412 5⋅ =– [A] 147 [B] 1967 [C] 11460 [D] 1

19660

Obj. 13 - Apply the power of a product property to a monomial numerical expression

18. 4 78 8⋅ = [A] 4 7 8⋅b g [B] 4 7 16⋅b g [C] 4 7 64⋅b g [D] 4 7 8+b g

19. – 8 62 2b g ⋅ = [A] – 2 2b g [B] – 2 4b g [C] – 48 4b g [D] – 48 2b g

Obj. 14 - Apply the power of a power property to a monomial numerical expression

20. 52 5d i = [A] 52 [B] 57 [C] 510 [D] 55

5


21. ––

8 9 6b g = [A] 18 54–b g [B] −

1854 [C] – 8 15b g [D] – 8 3b g

22. – 3 8 2b g = [A] – 310 [B] – 3 10b g [C] – 316 [D] – 3 16b g

23. 4 7 3– –d i = [A] 1410 [B] 1

421 [C] 421 [D] 410

24. 8 4 7–d i = [A] 828 [B] 1828 [C] 83 [D] 1

811

Obj. 15 - Apply the quotient of powers property to monomial numerical expressions

25. 55

4

6 = [A] 152 [B] 52 [C] 510 [D] 1

510

26. 55

3

6

–

= [A] 59 [B] 159 [C] 53 [D] 1

53

27. 1010

10

7 = [A] 11017 [B] 1

103 [C] 103 [D] 1017

28. 99

14

9

–

– = [A] 195 [B] 1

923 [C] 923 [D] 95

29. 1414

0

3– = [A] 1143 [B] 143 [C] 1

144 [D] 144

Obj. 16 - Solve a simple quadratic equation

Solve:

30. x2 9= [A] x = ± 3 [B] x = ± 18 [C] x = ± 15.

6


Solve:

31. x2 136

= [A] x = ±1

12[B] x = ±

16

[C] x = ±1

72

Obj. 17 - Solve a simple cubic equation

Solve:

32. x3 8= [A] x = 2 [B] x =83

[C] x = 4

33. x3 7291331

= [A] x =8111

[B] x =72911

[C] x =911

Obj. 18 - Convert a whole number greater than 10 to scientific notation

34. The circumference of Mercury is about 50,000,000 feet. What is that number in scientificnotation?

[A] 5 107× [B] 500,000 ×102 [C] 5 106× [D] 5000 ×104

35. 500 000, = [A] 5 106× [B] 5 105× [C] 500 ×105 [D] 0.5×104

Obj. 19 - Convert a whole number greater than 10 from scientific notation to standardform

36. 3 108× =

[A] 3,000,000 [B] 30,000,000 [C] 3,000,000,000 [D] 300,000,000

37. A Tyrannosaurus fossil is discovered by a scientist. He estimates the dinosaur weighedabout 1 104× pounds when it was alive. What is this weight written in standard form?

[A] 1000 lb [B] 100 lb [C] 10,000 lb [D] 100,000 lb

7


Obj. 20 - Convert a number less than 1 to scientific notation

38. What is 0.0001 in scientific notation?

[A] 01 10 3. × − [B] 1 10 4× − [C] 1 10 5× − [D] 1 10 2× −

39. What is 0.00000001 in scientific notation?

[A] 1 10 6× − [B] 0 001 10 5. × − [C] 1 10 8× − [D] 01 10 7. × −

Obj. 21 - Convert a number less than 1 from scientific notation to standard form

40. 7 10 3× =– [A] 70,000 [B] 0.0007 [C] 0.07 [D] 0.007

41. 3 10 5× =– [A] 0.00003 [B] 300,000 [C] 0.0000003 [D] 0.000003

Obj. 22 - Represent a quantity using scientific notation

42. The surface area of the earth is about 197 000 000, , square miles. What is this area inscientific notation?

[A] 197 105 2. × mi [B] 197 108 2. × mi [C] 197 109 2. × mi [D] 197 106 2. × mi

43. The length of a liver cell is about 0.00005 m. What is this length in scientific notation?

[A] 5 10 5× − m [B] 5 10 4× − m [C] 5 10 3× − m [D] 5 10 6× − m

Obj. 23 - Use scientific notation to estimate a very large or a very small quantity

44. On a given day, there are 2,902,200 people in a city. About how many people are in thecity on that day?

[A] 3 107× [B] 3 104× [C] 3 106× [D] 3 103×

45. A given red blood cell has a diameter of 0.0007076 cm. Which measurement approximatesthis diameter using scientific notation?

[A] 7 10 6× − cm [B] 7 10 4× − cm [C] 7 10 5× − cm [D] 7 10 3× − cm

8


Obj. 24 - Compare two numbers written in scientific notation

46. Which statement is true? [A] 7 10 5 102 5× < × [B] 7 10 5 102 5× > ×

47. Which statement is true? [A] 6 10 6 108 4× < ×− − [B] 6 10 6 108 4× > ×− −

Obj. 25 - Compare the relative size of two numbers written in scientific notation

48. How many times larger is 9 107× than 1 106× ?

[A] 90 [B] 900 [C] 9 [D] 9000

49. How many times larger is 2 1011× than 5 108× ?

[A] 4 [B] 40 [C] 4000 [D] 400

Obj. 26 - Add or subtract numbers written in standard form and scientific notation

50. 4 10 0 000037× + =– .c h[A] 3 10 5.04 × – [B] 4 3 10 5. × – [C] 34 10 6. × – [D] 7 10 7× –

51. 9 9 10 300 0006. ,× − =c h[A] 6 9 106. × [B] 9 6 106. × [C] 9 6 105. × [D] 6 9 105. ×

Obj. 27 - Add or subtract numbers written in scientific notation

52. 6 10 4 105 5× − × =– –c h c h[A] 2 1025× [B] 2 10 10× – [C] 2 100× [D] 2 10 5× –

53. 32 10 7 104 3. × + × =c h c h[A] 1.02 ×105 [B] 39 103. × [C] 327 104. × [D] 39 104. ×

9


Obj. 28 - Multiply or divide numbers written in standard form and scientific notation

54. 1.2 –6× × =10 300c h[A] 36 10 6× – [B] 36 10 8. –× [C] 360 10 4× – [D] 36 10 4. –×

55. 7.4 9× ÷ =10 20c h[A] 37 1010. × [B] 7 4 1010. × [C] 37 108. × [D] 37 109. ×

Obj. 29 - Multiply or divide numbers written in scientific notation

56. 2 10 5 106 12× × =c hc h [A] 1 1072× [B] 1 1019× [C] 1 1073× [D] 1 1018×

57. 81 109 10

14

7

. ×

×= [A] 9 106× [B] 9 107× [C] 9 102× [D] 9 101×

Obj. 30 - WP: Add or subtract numbers written in scientific notation

58. A company is reviewing its production output. Last year it made20,000,000 plastic spoons. This year the company made 8 9 8. ×10 spoons. How manyspoons did the company make in these two years?

[A] 1.9 108× [B] 8 9 108. × [C] 2 8 109. × [D] 91 108. ×

59. A scientist measures the diameters of two very thin wires to be used in an electricalexperiment. The diameter of the first wire is 134 10 2. –× mm. The diameter of the secondwire is 7 6 10 3. –× mm. How much wider is the first wire than the second wire?

[A] 58 10 3. –× mm [B] 6 26 10 2. –× mm [C] 6 26 10 3. –× mm [D] 58 10 2. –× mm

60. Asteroid 253 Mathilde has a mass of about 103 1017. × kg. Asteroid 189 Phthia has a massof about 38 1016. × kg. What is the difference in the mass of the two asteroids?

[A] 2 8 1017. × kg [B] 65 1016. × kg [C] 10 1017. × kg [D] 14 1017. × kg

10


61. An investigator finds a hair and a cotton fiber at a crime scene. Back in the crime lab, allevidence is logged and weighed. The hair weighs 9 ×10 g–5 and the fiber weighs4.1 10 g.–4× How much more does the fiber weigh than the hair?

[A] 4 9 10 5. × − g [B] 4 0 10 3. × − g [C] 4 9 10 4. × − g [D] 32 10 4. × − g

62. A stock analyst is studying the sales of three restaurant chains. Altogether, the restaurantchains sold 41. ×109 cold drinks one year. The next year, the restaurants sold a total of6.8 109× cold drinks. How many cold drinks did the restaurants sell in two years?

[A] 109 1010. × drinks [B] 4 78 1010. × drinks

[C] 7 21 109. × drinks [D] 109 109. × drinks

Obj. 31 - WP: Multiply or divide numbers written in scientific notation

63. Speech-impaired people can communicate with the help of new electronic devices. Thedevices contain circuit switches that are 9 mm× −10 5 in length. A switch is placed beside agrain of sand. The grain of sand has a diameter of 0.54 mm. How many switches placedend-to-end are needed to equal the diameter of the grain of sand?

[A] 9 103× [B] 6 103× [C] 8 10 4× – [D] 2 10 4× –

64. In space, distances between objects may be measured in light years. A light year is thedistance light travels in one year, approximately 59 1012. × miles. The star Rigel is about770 light years from Earth. About how many miles is the star from Earth?

[A] 4 5 1015. × mi [B] 4 5 1024. × mi [C] 4 5 1014. × mi [D] 4 5 1016. × mi

65. The mass of the sun is about 1989 1030. × kg. The mass of Mars is about6 4 1023. × kg. About how many times the mass of Mars is the mass of the sun?

[A] 32 107. × [B] 31 107. × [C] 32 108. × [D] 31 106. ×

66. It has been estimated that there are 1 27×10 bacteria in Iowa. A single bacterium weighsabout 9 5 10 13. × − g. What is the estimated total mass of these bacteria?

[A] 9 5 1013. × g [B] 9 5 1014. × g [C] 11 1013. × g [D] 11 1014. × g

11


67. In 2010, the average person in Turkey used about 6.84 kilowatt-hours of electricity perday. The population of Turkey that year was about 7 2 107. × . Approximately how muchelectricity was used in Turkey each day on average?

[A] 11 106. × kWh [B] 14 108. × kWh [C] 4 9 108. × kWh [D] 4 9 107. × kWh

Obj. 32 - WP: Determine the graph of a proportional relationship

68. Adrian has an average typing speed of 50 words per minute. Which graph relates thenumber of words typed to the number of minutes spent typing?

[A]

1 2 3 4 5 6 7

50100150200250300350

x

y

0Time (min)

1 50, b g

[B]

1 2 3 4 5 6 7

50100150200250300350

x

y

0Time (min)

2 50, b g2

50

[C]

1 2 3 4 5 6 7

50100150200250300350

x

y

0Time (min)

150

2 100, b g

12


69. A new showerhead has a flow rate of 4 gallons per minute. Which graph relates thenumber of gallons of water used to the shower’s duration?

[A]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time minb g

1 4, b g

[B]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time minb g

14

2 8, b g

[C]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time minb g

2 4, b g2

4

13


70. Mrs. Santos owns a sailboat. She is preparing to sail down the coast when she discoversthere is a small hole. Each day, 4 gallons of water leak into the boat through the hole.Which graph represents the volume of water that will leak into the boat over time?

[A]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time daysb g

1 4, b g

[B]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time daysb g

2 4, b g2

4

[C]

1 2 3 4 5 6 7

48

1216202428

x

y

0Time daysb g

14

2 8, b g

71. Frieda is writing a paper about rivers for her science class. As part of her research shemeasures the speed of a nearby river. The river flows 4 miles in one hour. Which graphcould she use in her paper to illustrate this fact?

14


[A]

1 2 3 4 5 6 7

48

1216202428

x

y

0

Mile

s

Time (hr)

14

2 8, b g

[B]

1 2 3 4 5 6 7

48

1216202428

x

y

0

Mile

s

Time (hr)

1 4, b g

[C]

1 2 3 4 5 6 7

48

1216202428

x

y

0

Mile

s

Time (hr)

2 4, b g2

4

(71.)

15


Obj. 33 - Determine the slope between three distinct points on the same line

72. What is the slope of the straight line passing through the points on the graph?

x

y

–10 10

–10

10

– , –7 8 b g

– , –3 4 b g

7 6, b g

[A] 1 [B] 12

[C] 2 [D] 13

73. What is the slope of the straight line passing through the points on the graph?

– ,8 0 b g– , –4 1 b g

8 4, – b g

x

y

–10 10

–10

10

[A] –4 [B] 14

[C] 4 [D] −14

16


Obj. 34 - Compare two proportional relationships represented in different ways

74. The table shows the average fuel mileage of Car 1. The graph shows the average fuelmileage of Car 2. Based on the data, which car will go farther on 25 gallons of fuel?

Car 1

Amount of Fuel (gal) Distance (miles)5 210

10 42015 630

x

y

Amount of Fuel (gal)

Car 2

2 4 6

4080

120160200240280

4 168, b g

6 252, b g

2 84, b g

[A] Car 1 will go farther. [B] Car 2 will go farther.

[C] Both cars will travel the same distance.

17


75. Razi is riding a bike while Tamir is riding his skateboard. Each is traveling along a pavedpath at a constant speed. Razi’s distance traveled with respect to time is represented by theequation d t= 5 . In the equation, d is the distance in meters and t is the time in seconds.Tamir’s distance traveled with respect to time is shown in the graph. Who travels faster?

1 2 3 4 5 6 7 8 9 10

2468

101214161820

x

y

0

Time (s)

Tamir’s Trip

2 8, b g

[A] Razi travels faster. [B] Tamir travels faster.

[C] Razi and Tamir travel at the same speed.

76. Connor and Duncan are competing in a wheelchair marathon. The distance Connor hastraveled with respect to time is represented by the equation d t= 016. . In the equation,d is the distance in miles and t is the time in minutes. The distance Duncan has traveledwith respect to time is represented in the table below. If they continue at their currentspeeds, who will finish the marathon sooner?

Duncan’s Race Data

Time (min) Distance (mi)10 220 430 6

[A] Connor will finish sooner. [B] Duncan will finish sooner.

[C] Both racers will finish at about the same time.

18


Obj. 35 - Determine the number of solutions for a 1-variable linear equation

Determine the number of solutions for the equation.

77. − + = − +19 56 12 53x x[A] infinitely many solutions [B] one solution [C] no solution

78. 6 20 46 35 5− + = − +x xb g b g–23

[A] infinitely many solutions [B] one solution [C] no solution

Obj. 36 - Solve a multi-step linear equation with variables on one side of the equal sign

Solve:

79. – –3 12 5 25 4x x− + − =

[A] x = −332

[B] x = −412

[C] x =412

[D] x =332

80. 8 8 6 2x x+ − = [A] x = −5 [B] x = 3 [C] x = 5 [D] x = −3

81. 54

4 34

5 9x x− − + = [A] x = 16 [B] x = 8 [C] x = –16 [D] x = 20

Obj. 37 - Solve a multi-step linear equation that has variables on one side of the equal signand involves distribution

Solve:

82. 4 3 4 14x + =b g [A] x =16

[B] x =52

[C] x = −16

[D] x = −52

83. 3 9 2 3 2x x− + =b g [A] x =4

15[B] x =

215

[C] x = −2

15[D] x = −

415

19


Solve:

84. – –7 2 7 3 4− + =xb g[A] x = −

314

[B] x =1714

[C] x = −1714

[D] x =3

14

85. 65

56

5 7− +FHG

IKJ =x – [A] x = 13 [B] x = 1 [C] x = −13 [D] x =

176

Obj. 38 - Solve a 2-step linear equation with variables on both sides of the equal sign

Solve:

86. − + =94

12

12

x x [A] x = −27

[B] x =112

[C] x =118

[D] x =211

87. – –8 10 6x x= + [A] x =13

[B] x = −13

[C] x = 3 [D] x = −3

88. − = −38

18

x x–4 [A] x =135

[B] x = −29 [C] x = −1

29[D] x = −

2964

Obj. 39 - Solve a multi-step linear equation with variables on both sides of the equal sign

Solve:

89. 9 5 8 7x x− = + [A] x =43

[B] x =2

17[C] x = −12 [D] x = 12

90. – –7 6 9 8 6x x x− + = + [A] x = −2 [B] x =65

[C] x = −65

[D] x = 6

20


Obj. 40 - Solve a multi-step linear equation that has variables on both sides of the equalsign and involves distribution

Solve:

91. – 5 4 3 12 7x x− = +b g[A] x = −

14

[B] x = −2547

[C] x =2547

[D] x =14

92. – –9 4 5 8x x+ = −b g b g [A] x = −19 [B] x =27

[C] x = 1 [D] x = 19

93. 7 4 6 3– –x x− =b g [A] x =4231

[B] x =4225

[C] x = −4225

[D] x = −4231

Obj. 41 - Identify the number of solutions in a system of two linear equations representedgraphically

94. The graphed lines represent the linear equations y x= − +5 4 and y x= − −5 2 .

x

y

–5

–5

y x= − −5 2

y x= − +5 4

How many solutions does the system of equations have?

[A] no solution [B] one solution [C] infinite number of solutions

21


95. The graphed line represents both linear equations y x= +5 3 and 2 10 6y x= + .

x

y

–5 5

–5

5

y x= +5 3

2 10 6y x= +



96. The graphed lines represent the linear equations y x= −4 1 and y x= − +5 2 .

x

y

–5

–5

y x= −4 1y x= − +5 2



22


Obj. 42 - Solve a system of two linear equations in slope-intercept form using substitution

Solve the system of equations using an equation of the form ax b cx d+ = + .

97. y x= – – 5y x= +–2 10

[A] 13 18, – b g [B] 15 20, – b g [C] 14 19, – b g [D] 5 10, – b g

98. y x= + 3y x= –2 – 9

[A] – , –4 1 b g [B] – ,2 1 b g [C] – , –6 3 b g [D] – , –15 12 b g

Obj. 43 - Solve a system of two linear equations given in slope-intercept and standardforms using substitution

Solve the system of equations using substitution.

99. y x= − −9 98 2 2x y+ =

[A] 2 27, – b g [B] – ,1 0 b g [C] – ,2 9 b g [D] 1 18, – b g

100. y x= −34

7

4 6 50x y− =

[A] – , –16 19 b g [B] – , –86 72 b g [C] – , –184 145 b g [D] – , –114 93 b g

Obj. 44 - Solve a system of two linear equations given in standard form using elimination

Solve the system of equations using elimination.

101. 8 4 565 4 61

x yx y

+ =− =

––

[A] 13 0, b g [B] – ,9 4 b g [C] – , –9 4 b g [D] 13 8, b g

23


Solve the system of equations using elimination.

102. x yx y

+ =+ =

6 124 6

––

[A] 6 3, – b g [B] 0 10, b g [C] – ,30 3 b g [D] 2 10, b g

Obj. 45 - Determine the number of solutions to a system of two linear equations byinspection

Without solving, determine the number of solutions for the system of equations.

103. − = −− = +

5 25 732 6 43

y xy x

[A] no solution [B] one solution [C] infinitely many solutions

104. y xy x

= − += − +

3 33 7

[A] no solution [B] one solution [C] infinitely many solutions

Obj. 46 - Determine a system of two linear equations in two variables that represents aproblem relating two numbers

105. The sum of two numbers is –6. The lesser number minus the greater number is –4. Whichsystem of linear equations can be used to find the two numbers?

[A] x y+ = –62x = –4

[B] x y− = –6x y+ = –4

[C] x y+ = –6x y− = –4

[D] x y− = –6y x= − 4

106. The sum of two numbers is 40. The greater number is 4 times the lesser number. Whichsystem of linear equations can be used to find the two numbers?

[A] x y− = 40x y= 4

[B] x y+ = 40x y− = 4

[C] x y+ = 40x y= 4

[D] x y− = 404x y=

24


Obj. 47 - Solve a number problem that can be represented by two linear equations in twovariables

107. The sum of two integers is 3. Their difference is 11. What are the two integers?

[A] –15 and –4 [B] –7 and 10 [C] –4 and 7 [D] 4 and 15

108. One integer is 8 greater than another integer. The larger integer is also 12 less than theopposite of the smaller integer. What are the two integers?

[A] –10 and –2 [B] –30 and –22 [C] –2 and 6 [D] –22 and –10

109. The sum of an integer and twice a smaller integer is 20. If the smaller integer is subtractedfrom twice the larger integer, the difference is 25. What are the two integers?

[A] –2 and 22 [B] 3 and 14 [C] 22 and 47 [D] 3 and 23

110. The sum of two integers is 15. The larger of the two integers is 3 more than 2 times thesmaller integer. What are the integers?

[A] 4 and 11 [B] 5 and 10 [C] –4 and 19 [D] 4 and 5

111. The sum of 3 times the larger of two integers and twice the smaller is –21. The differencebetween the two integers is 3. What are the two integers?

[A] 3 and 6 [B] 6 and 9 [C] –3 and 0 [D] –6 and –3

112. The larger of two integers is 14 greater than twice the smaller integer. The smaller integeris 1 less than twice the larger integer. What are the two integers?

[A] –32 and –9 [B] 10 and 21 [C] –9 and –4 [D] –17 and –9

Obj. 48 - WP: Determine a system of two linear equations in two variables that represents agiven situation

113. A ship has 73 containers on board. Some containers are from a car manufacturer and therest are from an apparel manufacturer. The car manufacturer’s containers each weigh6 tons. The apparel manufacturer’s containers each weigh 8 tons. The total weight of allthe containers is 514 tons. The ship’s captain wants to know how many containers are fromthe apparel manufacturer. Which system of linear equations represents the situation?

[A] 6 8 514c a⋅ =c a⋅ = 73

[B] 6 8 514c a+ =c a+ = 73

[C] 6 8 514c a÷ =c a+ = 73

[D] 6 8 514c a− =c a+ = 73

25


114. A basketball coach ordered uniforms for his varsity and junior varsity teams. He orderedone uniform for each player on each team. Each varsity uniform cost $71. Each juniorvarsity uniform cost $61. He ordered 26 uniforms in all and spent $1726 total. Whichsystem of linear equations represents the situation?

[A] 71 61 1726v j+ =v j+ = 26

[B] 71 61 1726v j⋅ =v j⋅ = 26

[C] 71 61 1726v j− =v j+ = 26

[D] 71 61 1726v j÷ =v j+ = 26

115. Mellissa has some nickels and dimes. She has 6 more nickels than dimes. The total valueof the coins is $1.35. Which system of linear equations can be used to find the number ofnickels?

[A] 0 05 010 135. . .n d+ =n d⋅ = 6

[B] 0 05 010 135. . .n d+ =n d÷ = 6

[C] 0 05 010 135. . .n d+ =n d+ = 6

[D] 0 05 010 135. . .n d+ =n d− = 6

116. Archaeologists find pottery fragments and shell beads in an ancient site. There are84 objects in all. There are 70 more pottery fragments than shell beads. Which system oflinear equations can be used to find the number of fragments and beads?

[A] f b− = 84f b+ = 70

[B] f b+ = 84f b⋅ = 70

[C] f b÷ = 84f b+ = 70

[D] f b+ = 84f b− = 70

117. Tickets for a high school talent show were $3 for students and $10 for adults. A total of264 people attended the show. The school collected $1639 in ticket sales. Which system oflinear equations can be used to find how many student tickets were sold?

[A] 3 10 1639s a+ =s a+ = 264

[B] 3 10 1639s a− =s a+ = 264

[C] 3 10 1639s a⋅ =s a⋅ = 264

[D] 3 10 1639s a÷ =s a÷ = 264

Obj. 49 - WP: Solve a problem that can be represented by a system of linear equations

118. One day, many people were fishing for trout and bass on a lake. In all, they caught 20 fish.They caught 12 more trout than bass. How many bass did they catch?

[A] 16 [B] 3 [C] 4 [D] 8

26


119. A storehouse is used to store bags of rice and barley. There are 10 times as many bags ofrice as there are bags of barley. A worker counts that there are 72 more bags of rice thanbags of barley. How many bags of barley are there?

[A] 8 [B] 80 [C] 62 [D] 7

120. Alan is 15 years older than Ismail. The sum of Alan’s and Ismail’s ages is 35. How manyyears old is Alan?

[A] 25 years [B] 20 years [C] 18 years [D] 10 years

121. Morgan makes fleece scarves and sells them for $9 each. The supplies cost her$2 per scarf. Last month, Morgan had a profit of $234. Morgan made 2 more scarves thanshe sold. How many scarves did Morgan sell last month?

[A] 5 [B] 36 [C] 34 [D] 2

122. A yearlong study was done on the gases released by a power plant. A scientist measuredthe amounts of two important gases. He found that there was 24 times as much sulfurdioxide released as nitrogen dioxide. At the end of the year the total weight of the twogases was calculated. There were 6900 more tons of sulfur dioxide than nitrogen dioxide.How many tons of nitrogen dioxide were released during the study?

[A] 6876 T [B] 300 T [C] 23 T [D] 287 T

27

Topic 3 - Functions

Obj. 50 - Determine if a relation expressed as a table is a function

1. One of the tables represents y as a function of x. Which table is it?

[A] xy

––

1 9 14 92 3 8 13

[B] xy

–1 4 9 14– 2 3 – 2 13

[C] xy

– ––

1 4 9 12 3 8 13

2. One of the tables represents y as a function of x. Which table is it?

[A] xy

– 8 – 10 –12 –14– 4 – 6 – 4 –10

[B] xy

– – – –– – – –

8 10 12 84 6 8 10

[C] xy

– – – –– – – –14 10 12 144 6 8 10

Obj. 51 - Determine if a relation expressed as a graph is a function

3. Which graph represents y as a function of x?

[A]

x

y

–10 10

–10

10

28

Topic 3 - Functions

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

(3.)

29

Topic 3 - Functions

4. Which graph represents y as a function of x?

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

30

Topic 3 - Functions

Obj. 52 - Compare a linear function represented algebraically to a linear functionrepresented in a graph

5. A sports club offers aerobics classes. The total amount a customer spends on individualclasses, C, is modeled by the function C n= $ .16 In the function, n is the total number ofclasses taken. The local community center also offers aerobics classes. There is a one-timemembership fee of $40 at the community center. Members also pay for each class taken.The total cost of aerobics classes at the community center is modeled by the graph.

1

50

2

100

3

150

4

200

5

250

6

300

7

350

0Number of Classes

4 64, b g

Which payment option is less expensive if 4 classes total are taken?

[A] It is less expensive to take 4 classes at the sports club.

[B] It is less expensive to take 4 classes at the community center.

[C] Both options cost the same for 4 classes.

31

Topic 3 - Functions

6. Salem Roofing Company and Ray’s Roofs are providing a cost estimate for the same roofreplacement. Both estimates depend on the number of labor hours and the cost of materials.The graph below models Salem Roofing Company charges based on the number of hours.

5

1500

10

3000

15

4500

20

6000

25

7500

30

9000

35

10,500

40

12,000

450Hours

Salem Roofing Company

0 6420, b g30 7620, b g

Ray’s Roofs uses the function P h= +35 6555 to determine what to charge. In this function,h is the number of hours worked and P is the total cost. Which company would charge lessif it takes 30 hours to replace the roof?

[A] Salem Roofing Company would charge less for 30 hours of work.

[B] Ray’s Roofs would charge less for 30 hours of work.

[C] Both companies would charge the same amount for 30 hours of work.

32

Topic 3 - Functions

Obj. 53 - Compare a linear function represented algebraically to a linear functionrepresented in a table

7. The table represents the total cost an online store charges for streaming movies. It chargesan annual membership fee and a fee for each movie streamed.

Movies Streamed 0 1 2 3Total Cost ($) 52.00 55.20 58.40 61.60

A local rental store uses the function C m= 4 20. to determine how much to charge formovie rentals. C is the total cost and m is the number of movies rented. The store does notcharge customers a membership fee. If 55 movies are rented in a year, which option ischeaper?

[A] Streaming movies from the online store is less expensive for 55 movies in a year.

[B] Renting DVDs from the neighborhood store is less expensive for 55 movies in a year.

[C] Both options cost the same amount for 55 movies in a year.

8. The table shows the price of concert tickets purchased online. The cost includes a ticketprice of $35 in addition to an order processing fee.

Tickets Purchased 4Cost of Order $

5 6 7154 189 224 259b g

The function P t= 38 represents the cost of tickets in dollars when purchased at the door.P is the total cost of the tickets and t is the number of tickets purchased. Is it cheaper tobuy 6 tickets online or at the door?

[A] It is cheaper to buy 6 tickets online. [B] It is cheaper to buy 6 tickets at the door.

[C] Both options cost the same for 6 tickets.

33

Topic 3 - Functions

Obj. 54 - Compare a description of a linear function to a linear function representedalgebraically

9. Mr. Dawar is purchasing a new cell phone and plan. If he purchases a plan with a 2-yearcontract, his phone will cost $70. There is a $35 one-time activation fee and a monthlyservice charge of $60. Mr. Dawar can also get a plan without a contract. The total cost, C, indollars can be represented by the function C m= +55 270 for m months. This functionincludes a monthly service charge and the no-contract price of the same phone. Both plansinclude the same features. Which plan will cost more after 12 months of service?

[A] Mr. Dawar will have spent more on the 2-year-contract plan after 12 months.

[B] Mr. Dawar will have spent more on the no-contract plan after 12 months.

[C] Mr. Dawar will have spent the same amount on either plan after 12 months.

10. Ms. Tan is comparing the prices for renting a room at a resort versus renting a beach house.The cost in dollars of the room for n nights is represented by the functionR n= +205 15. This includes the nightly rate and a one-time booking fee. The beach house

costs $175 per night with a cleaning fee of $105. If Ms. Tan stays for 3 nights, which optionwould be cheaper?

[A] The beach house would be cheaper for 3 nights.

[B] The room would be cheaper for 3 nights.

[C] Both options would cost the same for 3 nights.

34

Topic 3 - Functions

Obj. 55 - Compare a description of a linear function to a linear function represented in agraph

11. Ms. Hansen is filling up her car’s fuel tank. Her car has 2 gallons of fuel in the tank when

she begins to pump fuel. Her pump dispenses fuel at a constant rate of 17

gallon per second.

Mr. Bryant is also filling up his car’s fuel tank. The linear function graphed below gives thevolume of fuel in his tank at various times. Whose tank contains more fuel after 7 secondsof pumping fuel?

1 2 3 4 5 6 7 8 9 10

123456789

10

x

y

0Time Spent Pumping Fuel (s)

[A] Ms. Hansen’s tank contains more fuel.

[B] Mr. Bryant’s tank contains more fuel.

[C] The tanks contain the same volume of fuel.

35

Topic 3 - Functions

12. An olive tree had a diameter of 3 inches when it was planted. The tree’s diameter grew at aconstant rate of 0.4 inch per year. The diameter of a maple tree also grew at a constant rateafter planting. The graph below shows the diameter of the maple tree over time. Which treehad a faster growth rate?

1 2 3 4 5 6 7 8 9 10

123456789

10

x

y

0

0 2, b g

10 5, b g

Time (yr)

[A] The olive tree had a faster growth rate.

[B] The maple tree had a faster growth rate. [C] Both trees grew at the same rate.

Obj. 56 - Compare a description of a linear function to a linear function represented in atable

13. Carpet City charges $5 per square foot for a type of carpet. They charge an additional $40for installation. Westside Carpet also charges an installation fee and a constant rate for thesame carpet. The table shows the cost including installation for various amounts of thecarpet at Westside Carpet. Which store charges more per square foot for the carpet?

Square Feet of Carpet 712 713 714 715Total Cost ($) Westside Carpet 5069 5076 5083 5090

[A] Carpet City charges more per square foot.

[B] Westside Carpet charges more per square foot.

[C] Both stores charge the same amount per square foot.

36

Topic 3 - Functions

14. A female grizzly bear weighed 95 kg on July 1st. Her weight increased at a constant rate of4 kg per week during the summer. A male grizzly bear’s weight also increased at a constantrate during the summer. The table below shows his weight at various times. Which bearweighed more on July 1st?

Weeks since July 1 2 3 4 5Male Grizzly Bear’s Weight (kg) 105 111 117 123

st

[A] The female bear weighed more. [B] The male bear weighed more.

[C] Both bears weighed the same amount.

Obj. 57 - Compare a linear function represented in a table to a linear function representedin a graph

15. The graph and the table each represent a linear function. Which function has the greater rateof change?

x

y

–10 10

–10

10

0 3, b g−4 0, b g

x

y

− −2 1 0 1 2

3 23

4 13

5 5 23

6 13

[A] The function represented in the table has the greater rate of change.

[B] The function represented in the graph has the greater rate of change.

[C] The two functions represented in the table and in the graph have equal rates of change.

37

Topic 3 - Functions

16. The graph and the table each represent a different linear function. When x = 9, which of thetwo functions has the greater y-value?

x

y

–10 10

–10

10

0 4, b g−8 0, b g

x

y

− −2 1 0 1 2

3 13

2 23

2 113

23

[A] The function represented in the graph has the greater y-value when x = 9.

[B] The function represented in the table has the greater y-value when x = 9.

[C] The two functions have the same y-value when x = 9.

Obj. 58 - Determine if a function is linear or nonlinear

17. Which function is linear? [A] yx

x= −

44

[B] yx

=−1

4[C] y x

= −23 4

18. Which function is nonlinear? [A] y x= +6 9 [B] y x=

+ 43

[C] yx

= −+3

4

19. Which function is linear?

[A] y x= +10 43 [B] y x= +6 4b g [C] y x= +2 4

38

Topic 3 - Functions

20. Which function is nonlinear? [A] y x=

− 410

[B] y x=45

9– [C] yx

= −4

Obj. 59 - Determine whether a graph represents a linear or nonlinear function

21. Which graph shows a linear function?

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

39

Topic 3 - Functions

22. Which graph shows a nonlinear function?

[A]

x

y

–10 10

–10

10

[B]

x

y

–10 10

–10

10

[C]

x

y

–10 10

–10

10

Obj. 60 - Determine whether a table represents a linear or nonlinear function

23. One of the tables represents a linear function. Which table is it?

[A] xy

1 2 3 42 4 6 8

[B] xy

1 2 3 42 5 8 12

[C] xy

1 2 3 40 6 10 20

40

Topic 3 - Functions

24. One of the tables represents a linear function. Which table is it?

[A] xy

– – – –– – – –10 8 6 45 16 3 8

[B] xy

– – – –– – – –10 8 6 45 4 3 2

[C] xy

– – – –– – – –

10 8 6 411 12 13 15

25. One of the tables represents a nonlinear function. Which table is it?

[A] xy

2 1 0 18 1 0 1

––

[B] xy

2 1 0 116 11 6 1

–

[C] xy

2 1 0 18 14 20 26

–

Obj. 61 - WP: Determine the graph that models a function given in a description

26. Alberto kicked a football into the air from a height of 3.5 feet. Which graph represents theheight of the ball over time?

[A] [B]

[C] [D]

41

Topic 3 - Functions

27. A plane was flying at an altitude of 30,000 feet. It then decreased its altitude by 500 feeteach minute until it reached an altitude of 25,000 feet. It continued flying at this altitude.Which graph represents this situation?

[A] [B]

[C] [D]

28. Mr. Usher lives 1.5 miles from the post office. One day he left home at 1:00 p.m. andwalked to the post office. He spent 10 minutes there, then walked home. Which graphshows his distance from the post office from 1:00 p.m. to 2:20 p.m.?

[A]

1:00 1:20 1:40 2:00 2:20Time (p.m.)

1

2

3

4

5

42

Topic 3 - Functions

[B]

1:00 1:20 1:40 2:00 2:20Time (p.m.)

1

2

3

4

5

[C]

1:00 1:20 1:40 2:00 2:20Time (p.m.)

1

2

3

4

5

[D]

1:00 1:20 1:40 2:00 2:20Time (p.m.)

1

2

3

4

5

(28.)

43

Topic 3 - Functions

29. Manon is eating an ice-cream cone. Which graph best represents the amount of ice cream inthe cone as she eats it?

[A] [B]

[C] [D]

44

Topic 3 - Functions

Obj. 62 - Determine the rate of change or initial value of a function given a graph, a table,or two (x, y) values

30. The graph shows the hours a plane has been flying and the distance covered. If flying at aconstant rate, what is the airplane’s speed?

x

y

1 2 3 4 5 6 7 8 9 10

Travel Time (hr)0

500100015002000250030003500400045005000

2 960, b g4 1920, b g

[A] 490 mph [B] 240 mph [C] 480 mph [D] 288 mph

31. A driver set his car’s cruise control once he was a certain distance from his home. Usingcruise control made his car travel at a constant speed. The table shows the number of hoursspent using cruise control and his distance from home. What was the driver’s distance fromhome when he turned on the cruise control?

Time Driven WithCruise Control (hr)

Distance from Home (mi)

2.02.53.0

186221256

[A] 116 mi [B] 35 mi [C] 93 mi [D] 46 mi

32. Snow fell at a constant rate in a mountain town. The depth of the snow during thesnowstorm is represented by the ordered pairs 2 6 4 12, , and . b g b g In the ordered pairs, thex-coordinates represent the duration of the snowstorm in hours. The y-coordinates representthe depth of the snow in inches. At what rate did the depth of the snow change during thesnowstorm?

[A] 12 in./hr [B] 3 in./hr [C] 6 in./hr [D] 2 in./hr

45

Topic 3 - Functions

33. The water in a small reservoir flows out at a constant rate. The graph shows the depth of thewater over time.

x

y

20406080

100120

1 2 3 4 5 6 7Time (hr)

2 52, b g4 42, b g

What was the depth of the water in the reservoir before the water began flowing?

[A] 67 ft [B] 57 ft [C] 62 ft [D] 52 ft

Obj. 63 - Determine an equation in the form y = mx that represents a table of values

34. Which equation generates the values in the table?xy

––

2 0 2 4 68 0 8 16 24

[A] y x= 8 [B] y x= −4 [C] y x= 4 [D] y x=14

35. Which equation generates the values in the table?xy

– –– –

8 4 0 4 82 1 0 1 2

[A] y x=14

[B] y x= − [C] y x= −4 [D] y x= −14

46

Topic 3 - Functions

Obj. 64 - WP: Determine an equation in the form y = mx that represents a table of values

36. A business owner is considering hiring new employees. She wants to relate the number ofnew employees to total hourly wages. The table below relates the two quantities. Whichequation generates the table?

New EmployeesCost per Hour

( )( ) $ $ $ $

xy

5 6 7 845 54 63 72

[A] y x= −19

[B] x y= 45 [C] x y= 9 [D] y x= 9

37. A baker is keeping stock of supplies. She wants to track how much flour she uses. Sherecords the amount of flour used for the number of batches of bread baked. Which equationgenerates the table?

Batches of BreadCups of Flour

( )( )

xy

4 5 6 732 40 48 56

[A] y x= 8 [B] x y= 8 [C] x y= 32 [D] y x= 32

38. Mrs. Hopkins is making a grocery budget. She chooses a total cost for the month anddivides it up into a daily budget. The results are charted in the table below. Which equationgenerates the table?

Number of Days (Total Cost )

xy

)( $ $ $ $

7 8 9 1049 56 63 70

[A] x y= 7 [B] y x=1

49[C] y x= 7 [D] y x= −

17

39. A landscaper waters a lawn during the summer. He wants to know how much water is beingused per minute. He records the amount of water used in the table. Which equationgenerates the table?

Minutes (Gallons of Water

xy

)( )

13 14 15 1691 98 105 112

[A] y x= 7 [B] x y= 7 [C] y x= 13 [D] x y= 13

47

Topic 3 - Functions

40. The owner of a carnival ride wants to keep track of her profit. People pay for rides usingtickets. The owner relates the number of tickets received to the profit made. Which equationgenerates the table?

Tickets (Profit

xy

)( ) $ $ $ $

16 32 48 6412 24 36 48

[A] y x=34

[B] y x= −43

[C] y x= 16 [D] x y=34

Obj. 65 - Determine an equation in the form y = mx that represents a line passing throughthe origin

41. The graphed line passes through the origin. Which equation represents the line?

x

y

–6 –5 –4 –3 –2 –1 1 2 3 4 5 6

–6–5–4–3–2–1

123456

2 1, b g

[A] y x= −12

[B] y x=12

[C] y x= 2 [D] y x= −2

48

Topic 3 - Functions

42. The graphed line passes through the origin. Which equation represents the line?

x

y

–6 –5 –4 –3 –2 –1 1 2 3 4 5 6

–6–5–4–3–2–1

123456

– ,3 1 b g

[A] y x= −3 [B] y x=13

[C] y x= 3 [D] y x= −13

49

Topic 3 - Functions

Obj. 66 - WP: Determine an equation in the form y = mx that represents a line passingthrough the origin

43. Mr. Floyd kayaks as part of a regular fitness routine. In 2 minutes, he burns 12 calories.Assume he burns calories at a constant rate during the entire workout. Let x represent thetime spent kayaking and y represent the number of calories burned. This situation is graphedbelow. Which equation represents this situation?

x

y

1

5

2

10

3

15

4

20

5

25

6

30

7

35

8

40

9

45

10

50

0

2 12, b g

Time (min)

[A] y x=16

[B] y x= 12 [C] y x= 6 [D] y x=1

12

50

Topic 3 - Functions

44. Debbie goes shopping with her friend Silvio, an exchange student from Brazil. Silvio wantsto know what everything costs in Brazilian reals. He knows 1 American dollar is equivalentto 2 Brazilian reals. Let x represent American dollars and y represent Brazilian reals. Thissituation is graphed below. Which equation represents this situation?

x

y

1

1

2

2

3

3

4

4

5

5

6

6

7

7

8

8

9

9

10

10

Dollars0

1 2, b g

[A] y x= 2 [B] y x= 4 [C] y x=12

[D] y x= – 2

51

Topic 3 - Functions

45. A river flows over a dam at a constant rate. In 1 second, 42 m3 of water flows over the dam.Let x represent time in seconds and y represent water volume in cubic meters. This situationis graphed below. Which equation represents this water flow over time?

x

y

Time (s)1

50

2

100

3

150

4

200

5

250

6

300

7

350

8

400

9

450

10

500

01 42, b g

[A] y x= −1

42[B] y x= 42 [C] y x=

142

[D] y x= – 42

52

Topic 3 - Functions

46. Objects weigh less on Jupiter’s moon Europa than they do on Earth. If an object weighs1 pound on Earth, it weighs 0.13 pound on Europa. Let x represent weight in pounds onEarth and y represent weight in pounds on Europa. This situation is graphed below. Whichequation represents this situation?

x

y

1

0.25

2

0.50

3

0.75

4

1.00

5

1.25

0Weight on Earth (lb)

1 013, . b g

[A] y x= 013. [B] y x= – .0 26 [C] y x= 7 69. [D] y x= – .013

47. Hank’s employer pays him an hourly wage of $16. Let x be the number of hours Hankworks and y be the wages he earns. This situation is graphed below. Which equationrepresents this situation?

x

y

1

5

2

10

3

15

4

20

5

25

6

30

7

35

8

40

9

45

10

50

0

1 16, b g

Time (hr)

[A] y = 32x [B] y = –16x [C] y = 16x [D] y = 8x

53

Topic 3 - Functions

Obj. 67 - Determine an equation in the form y = mx + b that represents a table of values

48. Which equation generates this table of values?xy

– –– – – –

4 2 0 2 414 10 6 2 2

[A] y x= − −2 6 [B] y x= −2 6 [C] y x= −2 2 [D] y x= − +2 2

49. Which equation generates this table of values?xy

– –– – –

4 2 0 2 423 9 5 19 33

[A] y x= − −7 37 [B] y x= − +7 29 [C] y x= − +7 5 [D] y x= − −7 5

Obj. 68 - Determine an equation in the form y = mx + b that represents a graphed line

50. One of the equations represents the graphed line. Which equation is it?

x

y

–6 –5 –4 –3 –2 –1 1 2 3 4 5 6

–6–5–4–3–2–1

123456

2 4, b g

– ,2 0 b g

[A] y = x − 2 [B] y = – x + 2 [C] y = x + 2 [D] y = 43

2x +

54

Topic 3 - Functions

51. One of the equations represents the graphed line. Which equation is it?

x

y

–6 –5 –4 –3 –2 –1 1 2 3 4 5 6

–6–5–4–3–2–1

123456

2 4, – b g– , –2 2 b g

[A] y = − −12

3x [B] y = − −2 3x [C] y = 12

3x − [D] y = − +12

3x

Obj. 69 - WP: Determine an equation in the form y = mx + b that represents a table ofvalues

52. Sigourney organized a raffle at a wheelchair basketball tournament. She subtracted the costof the prize from total ticket sales to determine the profit made. The table shows the profitmade for the number of raffle tickets sold. Which equation generates the table?

Tickets Sold (Profit

xy

)( ) $ $ $ $

0 20 40 6015 105 225 345−

[A] x y= −20 15 [B] x y= −6 15 [C] y x= −6 15 [D] y x= −20 15

53. Ms. Rabin uses the stairs to leave her office building. She wants to know how far shedescends. The table relates the number of stairs descended to the number of inches abovethe ground. Which equation generates the table?

Number of StairsDown (Height in Inches

xy

)( )

0 5 10 15480 450 420 390

[A] y x= +–6 480 [B] y x= − +16

480 [C] x y= +–6 480 [D] y x= +5 480

55

Topic 3 - Functions

54. Elijah borrows money from a friend. Each week he pays back a set amount. Elijah createsthe table below to estimate how long before he owes nothing. Which equation generates thetable?

Weeks (Money Owed

xy

)( ) $ $ $ $

0 1 2 3227 207 187 167

[A] y x= −20 227 [B] y x= +–20 227 [C] x y= −20 227 [D] x y= +–20 227

55. A student is riding a train home from college. He creates a table showing the time traveledand the distance to his destination. Which equation generates the table?

Minutes Traveled (Miles to Final Destination

xy

)( )

0 60 120 180559 487 415 343

[A] x y= − +65

559 [B] x y= − +72 559

[C] y x= − +72 559 [D] y x= − +65

559

56. A dog breeder is planning to buy more dog food. He makes a table showing how manypounds of food he will have after shopping. The table is based on how much he spends andhow much food he already has. Which equation generates the table?

Money Spent (Pounds of Food

xy) $0 $ $ $

( )20 40 60

6 18 30 42

[A] x y= +12 6 [B] y x= +35

6 [C] x y= −35

6 [D] y x= −12 6

56

Topic 3 - Functions

Obj. 70 - WP: Determine an equation in the form y = mx + b that represents a graphed line

57. Jon is swimming in a lake when he decides he wants his goggles. To get the goggles heswims at a steady pace back to a floating dock. He starts 33 m from the dock. The graphshows Jon’s distance from the dock in relation to the time spent swimming back.

1 2 3 4 5 6 7 80

102030405060

Time (min)

1 15, b g

Let x represent the time swimming back to the dock. Let y represent the distance from thedock. Which equation is represented by the graph?

[A] y x= −18 33 [B] y x= − +18 33 [C] y x= − −15 33 [D] y x= +15 33

57

Topic 3 - Functions

58. A bowler releases a bowling ball 2 feet behind the foul line. Assume the ball moves at aconstant speed as it approaches the pins. The graph shows the ball’s position over time.

1 2 3 4 5 6 7 8 9 10

–10

0

10

20

30

40

50

60

Time (s)

1 26, b g

Let x represent time in seconds. Let y represent the ball’s position in feet relative to the foulline. Which equation is represented by the graph?

[A] y x= − −26 2 [B] y x= − +28 2 [C] y x= −28 2 [D] y x= −26 2

59. A kite is released at the top of a hill, 25 m above ground level. The kite ascends at aconstant rate. The graph shows the kite’s altitude over time.

102030405060

1 2 3 4 5 6 7 8 90Time (min)

1 29, b g

Let x represent time in minutes and y represent height in meters. Which equation isrepresented by the graph?

[A] y x= −– 4 25 [B] y x= +– 4 25 [C] y x= +25 4 [D] y x= +4 25

58

Topic 3 - Functions

60. A stunt person opens her parachute at a height of 572 feet above the ground. She thendescends at a constant rate.

0100200300400500600

5 10 15 20 25 30 35 40 45Time (s)

5 492, b g

Let y represent her height above the ground in feet. Let x represent the time, in seconds, shespent descending with her parachute open. Which equation is represented by the graph?

[A] y x= +–16 572 [B] y x= +572 16 [C] y x= −16 572 [D] y x= +16 572

61. A gas barbecue uses fuel stored in a steel tank. The initial weight of the fuel in the tank is19 pounds. As the barbecue is used, the weight of fuel steadily decreases. The graph showsthe weight of the fuel in the tank over time.

51015202530

1 2 3 4 5 6 7 8 9Time (hr)

2 13, b g

Let x represent time of use and y represent the weight of the fuel in the tank. Which equationis represented by the graph?

[A] y x= − +132

19 [B] y x= − +3 19 [C] y x= −3 19 [D] y x= +132

19

59

Topic 4 - Geometry

Obj. 71 - Determine a sequence of transformations that maps one figure onto a congruentfigure

1. The two triangles below are congruent. Which sequence of transformations maps the whitetriangle onto the shaded triangle?

x

y

–10 10

–10

10

[A] A reflection over the x-axis, followed by a translation of 1 left and 1 down.

[B] A translation of 1 left and 1 down, followed by a reflection over the y-axis.

[C] A translation of 1 left and 1 down, followed by a reflection over the x-axis.

60

Topic 4 - Geometry

2. The two parallelograms below are congruent. Which sequence of transformations maps thewhite parallelogram onto the shaded one?

x

y

–10 10

–10

10

[A] A rotation 90 degrees counterclockwise about the origin, followed by a translation of 3down.

[B] A rotation 90 degrees clockwise about the origin, followed by a translation of 3 up.

[C] A rotation 90 degrees counterclockwise about the origin, followed by a translation of 3up.

61

Topic 4 - Geometry

Obj. 72 - Determine the coordinates of a translated, dilated, rotated, or reflected shape onthe Cartesian plane

3. The coordinates of the vertices of ∆RST are R 0 0, , b g S – , ,3 4 b g and T – , .2 0 b g The triangleis rotated 180° around vertex R. What are the coordinates of the vertices of the rotatedtriangle, ∆ ′ ′ ′R S T ?

x

y

–10 10

–10

10

R

S

T

[A] R S T′ ′ ′0 0 4 3 0 2, – , , , , b g b g b g [B] R S T′ ′ ′0 0 3 4 2 0, , – , , , b g b g b g[C] R S T′ ′ ′0 0 3 4 2 0, – , – – , , , b g b g b g [D] R S T′ ′ ′0 0 3 4 2 0, – , – , , , b g b g b g

62

Topic 4 - Geometry

4. The coordinates of the vertices of ∆ABC are A 6 0, , b g B 3 2, – , b g and C 3 2, . b g The triangle isreflected over the y-axis. What are the coordinates of the vertices of the reflected triangle,∆ ′ ′ ′A B C ?

x

y

–10 10

–10

10

A

B

C

[A] ′A – , – ,3 2 b g ′B 3 2, , b g ′C – ,6 0 b g [B] ′A – , ,6 0 b g ′B – , ,3 2 b g ′C – , –3 2 b g[C] ′A – , ,6 0 b g ′B – , – ,3 2 b g ′C – ,3 2 b g [D] ′A 6 0, , b g ′B 3 2, , b g ′C 3 2, – b g

63

Topic 4 - Geometry

5. The coordinates of the vertices of ∆RST are R – ,3 1 ,b g S 1 2, – ,b g and T – ,2 1 .b g The triangleis moved 6 spaces right and 7 spaces down. What are the coordinates of the vertices of thetranslated triangle, ∆R S T' ' '?

x

y

–10 10

–10

10

R

S

T

[A] R S T′ ′ ′– , – – , – – , –9 6 5 9 8 6 , , b g b g b g [B] R S T′ ′ ′3 6 6 4 9 7, – – , – , , , b g b g b g[C] R S T′ ′ ′– , – , – ,9 8 5 5 8 8 , , b g b g b g [D] R S T′ ′ ′3 6 7 9 4 6, – , – , – , , b g b g b g

64

Topic 4 - Geometry

6. The coordinates of the vertices of ∆RST are R 3 3, – , b g S 7 7, – , b g and T 5 3, – . b g A dilation

centered at the origin with a scale factor of 14

occurs. What are the coordinates of the

vertices of the image of ∆RST ?

x

y

–10 10

–10

10

R

S

T

[A] R S T′ −FHG

IKJ ′ −F

HGIKJ ′ −F

HGIKJ

34

34

74

74

54

34

, , , , ,

[B] R S T′ −FHG

IKJ ′ −F

HGIKJ ′ −F

HGIKJ

34

12

7 74

54

12

, , , , ,

[C] R S T′ − ′ − ′ −3 3 7 7 5 3, , , , , b g b g b g [D] R S T′ −FHG

IKJ ′ −F

HGIKJ ′ −F

HGIKJ1 1

22 3

232

12

, , , , ,

65

Topic 4 - Geometry

Obj. 73 - Determine a sequence of transformations that maps one figure onto a similarfigure

7. The two triangles below are similar. The coordinates of the vertices of ∆ABC are – ,9 3 ,b g– ,6 2 ,b g and – , .7 5b g The coordinates of the vertices of ∆ ′ ′ ′A B C are 5 14, , , , 9 6b g b g and11, . 15b g Which sequence of transformations maps ∆ABC onto ∆ ′ ′ ′A B C ? Assume that any

dilations or rotations are centered about the origin.

x

y

–10 –5 5 10 15

5

10

15

20

AB

C

A'

B'

C'

[A] A translation of 32 right, followed by a dilation by a scale factor of 3.

[B] A dilation by a scale factor of 32, followed by a reflection over the y-axis.

[C] A dilation by a scale factor of 3, followed by a translation of 32 right.

66

Topic 4 - Geometry

8. The two triangles below are similar. The coordinates of the vertices of ∆ABC are 1, 1 ,b g3, 3 ,b g and 2, . 6b g The coordinates of the vertices of ∆ ′ ′ ′A B C are – 2 2 ,,b g – , ,6 6b g and– , .4 12b g Which sequence of transformations maps ∆ABC onto ∆ ′ ′ ′A B C ? Assume that

any dilations or rotations are centered about the origin.

x

y

–10 –5 5

5

10

A

B

C

A'

B'

C'

[A] A dilation of scale factor 2, followed by a reflection across the y - axis .

[B] A rotation of 180 degrees followed by a dilation of scale factor 9.

[C] A reflection across the x - axis , followed by a dilation of scale factor 2.

67

Topic 4 - Geometry

9. The two triangles below are similar. The coordinates of the vertices of ∆ABC are2 5, , 5 , 1 ,b g b g and 2, . 2b g The coordinates of the vertices of ∆ ′ ′ ′A B C are10 2, , , , – 4 – 10b g b g and 4, . – 4b g Which sequence of transformations maps ∆ABC onto∆ ′ ′ ′A B C ? Assume that any dilations or rotations are centered about the origin.

x

y

5 10

–10

–5

5

10

A

BC

A'

B'

C'

[A] A dilation by a scale factor of 2, followed by a rotation of 90 degrees clockwise.

[B] A dilation by a scale factor of 2, followed by a reflection across the x - axis .

[C] A rotation of 90 degrees clockwise, followed by a translation of 4 down.

Obj. 74 - Determine the length of the hypotenuse of a right triangle using the Pythagoreantheorem

10. The lengths of the legs of a right triangle are 15 and 8. What is the length of thehypotenuse?

[A] 16 [B] 17 [C] 23 [D] 46

68

Topic 4 - Geometry

11. What is the length of the hypotenuse of the right triangle? Round the answer to the nearesttenth.

5

8

(not drawn to scale)

[A] 6.2 [B] 13.3 [C] 26.0 [D] 9.4

Obj. 75 - Determine the length of a leg of a right triangle using the Pythagorean theorem

12. The length of one leg of a right triangle is 8, and the hypotenuse is 17. What is the length ofthe other leg of the triangle?

[A] 3 [B] 9 [C] 5 [D] 15

13. Find the value of x. Round the answer to the nearest tenth.

7 x

3(not drawn to scale)

[A] 5.2 [B] 6.3 [C] 7.6 [D] 6.0

69

Topic 4 - Geometry

Obj. 76 - Determine the length of a side of a right triangle using the Pythagorean theorem,answers in radical form

14. What is the length of the hypotenuse?

9 cm

2 cm

[A] 77 cm [B] 121 cm [C] 85 cm [D] 11 cm

15. One leg of a right triangle is 12 inches long. The hypotenuse is 17 inches long. What is thelength of the other leg?

[A] 145 in. [B] 21 in. [C] 58 in. [D] 145 in.

16. What is the length of the hypotenuse?

10 cm

20 cm

[A] 500 cm [B] 30 cm [C] 300 cm [D] 250 cm

17. What is the length of the unmarked side in the right triangle below?

22 cm

28 cm

[A] 300 cm [B] 300 cm [C] 6 cm [D] 36 cm

70

Topic 4 - Geometry

Obj. 77 - WP: Find an unknown side length in a right triangle using the PythagoreanTheorem

18. During a wilderness training exercise, Carmen’s team started by walking 705 m due west.Gordon’s team started by walking due north. After 25 minutes, the two teams were795 m apart. Both teams started at the same point. How far did Gordon’s team walk inthat time? Round the answer to the nearest meter.

[A] 90 m [B] 367 m [C] 531 m [D] 1063 m

19. Mrs. Min wants a jasmine vine to grow on a rectangular section of her front fence. For thisto happen, the vine will need a wire for extra support. She attaches the wire at the bottomleft corner of the rectangular section. She runs the wire diagonally to the top right corner ofthe rectangular section. The rectangular section has a length of 150 cm and a height of80 cm. How long is the wire? Round the answer to the nearest centimeter.

[A] 170 cm [B] 230 cm [C] 127 cm [D] 165 cm

Obj. 78 - Determine a distance on the Cartesian plane using the Pythagorean theorem

20. Points C 6 4, – b g , D 9 9, – b g , and E 6 9, – b g are plotted on the graph. What is the distancebetween points C and D ? Round the answer to the nearest tenth.

–10 –8 –6 –4 –2 2 4 6 8 10

–10

–8

–6

–4

–2

2

4

6

8

10

x

y

E

C

D

[A] 19.8 [B] 4.0 [C] 5.8 [D] 2.0

71

Topic 4 - Geometry

21. Points C 2 4, ,b g D 4 4,– ,b g and E 2, – 4b g are graphed below. What is the distance betweenpoints C and D? Round the answer to the nearest tenth.

–5 –4 –3 –2 –1 1 2 3 4 5

–5

–4

–3

–2

–1

1

2

3

4

5C

DE

x

y

[A] 8.2 [B] 2 [C] 10 [D] 6

Obj. 79 - Determine the volume of a cylinder

22. What is the volume of the cylinder? Use 314. for π and round to the nearest whole number.

7 in.

6 in.


[A] 396 in3 [B] 198 in3 [C] 462 in3 [D] 215 in3

72

Topic 4 - Geometry

23. What is the volume of the cylinder? Use 314. for π and round to the nearest tenth.

2.4 ft

2.7 ft


[A] 54.9 ft3 [B] 72.1 ft3 [C] 48.8 ft3 [D] 109.8 ft3

Obj. 80 - Determine the volume of a cone

24. Find the volume of the cone. Use 3.14 for π and round to the nearest cubic centimeter.

5 cm

9 cm

[A] 47 cm3 [B] 75 cm3 [C] 236 cm3 [D] 424 cm3

73

Topic 4 - Geometry

25. Find the volume of the cone. Use 3.14 for π and round to the nearest cubic meter.

26 m

16 m

[A] 2830 m3 [B] 3483 m3 [C] 901 m3 [D] 218 m3

Obj. 81 - Solve a problem involving the volume of a cone or cylinder

26. The volume of the cone is 351π cm3. What is the diameter of the base of the cone?

13 cm


[A] 6 cm [B] 9 cm [C] 18 cm [D] 12 cm

74

Topic 4 - Geometry

27. The volume of the cylinder is 500π cm3. What is the radius of the base of the cylinder?

20 cm


[A] 9 cm [B] 6 cm [C] 79 cm [D] 5 cm

Obj. 82 - Determine the volume of a sphere or hemisphere

28. The circumference of a sphere is 6π inches. What is the volume of the sphere? Use the

formula V r=43

3π .

[A] 12 inπ 3 [B] 36 inπ 3 [C] 6 inπ 3 [D] 18 inπ 3

29. What is the volume of a sphere that has a diameter of 54 inches? Use the formula

V r=43

3π .

[A] 486 inπ 3 [B] 2916 inπ 3 [C] 26,244 inπ 3 [D] 78,732 inπ 3

30. What is the volume of the hemisphere? Use the formula V r=43

3π for the volume of a

sphere.

36 cm O

[A] 62 208, π cm3 [B] 5184π cm3 [C] 31104, π cm3 [D] 93 312, π cm3

75

Topic 4 - Geometry

Obj. 83 - WP: Determine the volume of a cylinder or cone

31. Abigail is making cylindrical candles. She needs to know the volume of each candle moldso she can purchase enough wax. Each mold has a diameter of 6 inches and is8.5 inches tall. What is the volume of each mold? Use 3.14 for π and round to the nearestcubic inch.

[A] 160 in3 [B] 240 in3 [C] 961 in3 [D] 80 in3

32. A cylindrical vase is filled with water to 1 inch from the top. The vase is 5 inches tall with adiameter of 3 inches. What is the volume of the water? Use 3.14 for π and round to thenearest cubic inch.

[A] 38 in3 [B] 75 in3 [C] 35 in3 [D] 28 in3

33. A chef is making an Indonesian dish. He uses a mold to form yellow rice into the shape of acone. The chef wants to approximate how many servings of rice the mold will hold. Theheight of the mold is 8 inches, and its diameter is 4 inches. What is the volume of the mold?Use 3.14 for π and round to the nearest cubic inch.

[A] 33 3 in [B] 17 3 in [C] 134 3 in [D] 50 3 in

Obj. 84 - WP: Determine the volume of a sphere or hemisphere

34. Aida’s grandmother bought Aida a new volleyball as a present. When the ball is fullyinflated, its circumference is 26.2 inches. What is the volume of the ball when it is inflated?Use 3.14 for π and round to the nearest tenth of a cubic inch. Use the formula

V r=43

3π for the volume of a sphere.

[A] 2915. in3 [B] 228 0. in3 [C] 218 6. in3 [D] 304 0. in3

35. Mr. Sanders is making a snow globe in the shape of a hemisphere for his daughter. Theradius of the circular base is 2.5 inches. How much water is needed to fill the snow globecompletely? Use 3.14 for π and round to the nearest tenth of a cubic inch. Use the formula

V r=43


[A] 654. in3 [B] 491. in3 [C] 26 2. in3 [D] 32 7. in3

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Topic 4 - Geometry

36. The local stationery store sells paperweights that are in the shape of a hemisphere. Eachweight is filled with mineral oil. How much mineral oil is needed for a paperweight with aninner diameter of 5.6 inches? Use 3.14 for π and round to the nearest tenth of a cubic inch.

Use the formula V r=43


[A] 17 6. in3 [B] 46 0. in3 [C] 68 9. in3 [D] 32 8. in3

37. A weather station releases weather balloons to measure the temperature, pressure, andrelative humidity. The scientist who orders the helium tanks calculates how much helium isneeded for each balloon. Assume each balloon is a sphere. What is the volume of oneballoon if it is inflated diameter is 3.9 feet? Use 3.14 for π and round to the nearest tenth of

a cubic foot. Use the formula V r=43


[A] 159. ft 3 [B] 233. ft 3 [C] 310. ft 3 [D] 47 8. ft3

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Topic 5 - Statistics and Probability

Obj. 85 - Use a scatter plot to organize data

1. One day Nadine recorded the outside temperature every hour from 5 p.m. through 10 p.m.Time 5 p.m. 6 p.m. 7 p.m. 8 p.m. 9 p.m. 10 p.m.

Temperature ( F) 50 48 42 40 38 36°

Which scatter plot represents the data?

[A]

Time (p.m.)

35

40

45

50

55

5 6 7 8 9 10

[B]

Time (p.m.)

35

40

45

50

55

5 6 7 8 9 10

[C]

Time (p.m.)

35

40

45

50

55

5 6 7 8 9 10

[D]

Time (p.m.)

35

40

45

50

55

5 6 7 8 9 10

2. The table shows Jayne’s best hammer throw each month for eight months.Month 1 2 3 4 5 6 7 8

Distance (m) 32.77 31.35 31.63 34.1 40.23 40.43 41.45 41.86

Which scatter plot best represents the data?

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[A]

Month

30

35

40

45

1 2 3 4 5 6 7 8

[B]

Month

30

35

40

45

1 2 3 4 5 6 7 8

[C]

Month

30

35

40

45

1 2 3 4 5 6 7 8

[D]

Month

30

35

40

45

1 2 3 4 5 6 7 8

(2.)

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Obj. 86 - Identify a pattern of association between two quantities

3. City council members want to know if diesel truck exhaust is related to respiratory illness.The city’s different neighborhoods have different levels of diesel truck traffic. Theneighborhoods also have different numbers of residents with respiratory infections. The dataare shown in the scatter plot below. What kind of relationship do the data show between thevariables: positive, negative, or none?

x

y

Diesel Truck Traffic(trucks per hour)

[A] positive relationship [B] negative relationship [C] no relationship

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4. A group of students participated in a piano recital. The scatter plot shows the number ofhours the different students spent practicing. It also shows the number of mistakes these samestudents made during the recital. What kind of relationship does the data show between thevariables: positive, negative or none?

x

y

Number of HoursSpent Practicing


5. The scatter plot shows how many hours different athletes slept the week before a track meet.It also shows their race times. What kind of relationship does the data show between thevariables: positive, negative or none?

x

y

Hours Sleptthe Week Before a Race


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Obj. 87 - Approximate a trend line for a scatter plot

6. Shane recorded his time for the hundred-meter run seven times over a fourteen-week period.He made a scatter plot of the data. Which trend line best fits the scatter plot?

[A]

Seco

nds

Week2 4 6 8 10 12 14

15

16

17 [B]

Seco

nds

Week2 4 6 8 10 12 14

15

16

17

[C]

Seco

nds

Week2 4 6 8 10 12 14

15

16

17 [D]

Seco

nds

Week2 4 6 8 10 12 14

15

16

17

7. A research group studies student test performance. The group tracks hours of study and testscore improvement each week. Which trend line best fits the scatter plot?

[A]

5 10 15 20

5101520253035

Study Hours

Study Hours and Test Gains

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[B]

5 10 15 20

5101520253035

Study Hours


[C]

5 10 15 20

5101520253035

Study Hours


[D]

5 10 15 20

5101520253035

Study Hours


(7.)

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Obj. 88 - Use a two-way table to summarize data on two categorical variables collectedfrom the same subjects

8. A doctor wants to know if people who are taking a certain medicine also have high heartrates. She surveys 12 people, some who are taking the medicine and some who are not. Shelists the results in the chart below. Which two-way table corresponds to the chart?

Patient A B C D E F G H I J K LTakes MedicineHigh Heart Rate

No Yes Yes Yes No No Yes No Yes No No NoYes Yes Yes Yes No No Yes No Yes No No No

[A]High Heart Rate

YesYes

No

No

Total

Total5 1 61 5 66 6 12

[B]High Heart Rate

YesYes

No

No

Total

Total5 6 111 0 16 6 12

[C]High Heart Rate

YesYes

No

No

Total

Total5 1 60 6 65 7 12

[D]High Heart Rate

YesYes

No

No

Total

Total5 0 51 6 76 6 12

9. Insulin resistance is a condition where not enough glucose (sugar) is delivered to cells. Adoctor is studying the link between inadequate sleep and insulin resistance. She surveys 12people, some who get enough sleep and some who are sleep deprived. She lists the results inthe chart below. Which two-way table corresponds to the chart?

Patient A B C D E F G H I J K LGets Enough SleepInsulin Resistant

Yes Yes Yes Yes No No No Yes No No No NoNo Yes No Yes Yes No Yes Yes No Yes No Yes

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[A]Insulin Resistant

YesYes

No

No

Total

Total4 2 63 3 67 5 12

[B]Insulin Resistant

YesYes

No

No

Total

Total3 2 54 3 77 5 12

[C]Insulin Resistant

YesYes

No

No

Total

Total3 4 72 3 55 7 12

[D]Insulin Resistant

YesYes

No

No

Total

Total3 3 64 2 67 5 12

(9.)

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