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Items41-70

MATH

8Gr

Tennessee - Test P

*TNRC-MA08PG-001**TNRC-MA08PG-001*

A DCB

A. 1B. 2C. 3D. 4

Practice Example:

Jan is third in line. Paco is fifth. How many people are between Jan and Paco?

2

Questions 41 through 70 ask you to solve math problems. Read each question carefully. Choose the best answer and then go on to the next question. Do not skip any questions.

41. To get to the store, Tyler must drive 3 miles, turn left, and drive another 4 miles.

House

Store4 mi

3 mix

If Tyler rides his bike on a path that runs directly from his house to the store, how far will he travel?

Pythagorean Theorem: a2 + b2 = c2

A. 4 milesB. 5 milesC. 6 milesD. 7 miles

42. Look at AB in the graph below.

-22 4 6 8 10-10 -8 -6 -4 -2

8

6

4

2

-6

-8

-10

A

B

-4

x

10

y

O

What are the coordinates of the x-intercept of this line?

A. (-2.5, 0)B. (0, 0)C. (0, 5)D. (5, 0)

43. Find the value of this expression:

2 + 3 × 8 + (42 + 3) + 122

A. 69

B. 183

C. 189

D. 203

3

44. On a map, the distance between Clarksville, Tennessee, and Chattanooga, Tennessee, is about 3.75 centimeters.

NashvilleClarksville

Murfreesboro

Knoxville

ChattanoogaLynchburg

Jackson

Memphis

Which of the following is closest to the actual distance between these two cities?

The scale of the map is 1 centimeter = 50 miles.

A. 150 miles

B. 170 miles

C. 190 miles

D. 210 miles

45. Which equation represents a nonlinear relationship?

A. y = x2

B. y = 2x

C. y = x + 2

D. y = x – 2

4

46. The graph shows the average heights and weights of different species of buffalo.

12001000800600400200

024020016012080400

Height (cm)

Wei

ght (

kg)

Buffalo Height and Weight

What can you conclude about the height and weight of buffalo?

A. The tallest buffalo are always heavier.B. The shortest buffalo are always the

heaviest.C. All buffalo weigh the same.D. The tallest buffalo are not always the

heaviest.

47. A grocery store is having a sale on packages of paper towels, as shown below.

Number of Rollsin Package Price

2

4

8

12

$3.48

$4.96

$9.68

$16.68

Paper Towel Sale

In which package is the price per roll the lowest?

A. 2-roll packageB. 4-roll packageC. 8-roll packageD. 12-roll package

48. A box contains a red marble, a blue marble, and a white marble.

Find the probability of choosing a red marble and then, without replacing the red marble, choosing a white marble.

A. 16

B. 1

3 C. 1

2 D. 5

6

5

49. Look at the graph below.

Stanley’s Weight GainW

eigh

t (po

unds

)

Week

121120119118117116115

1 432 5

Evening WeightMorning Weight

Which table shows the same information that appears in the graph?

A.

117.1118.4119.2119.9120.5

Morning Weight

(pounds)117.8118.9119.3120.3120.7

Evening Weight

(pounds)

Stanley’s Weight Gain

12345

Week

C.

127.8128.9129.3130.3130.7

Morning Weight

(pounds)127.1128.4129.2129.9130.5

Evening Weight

(pounds)

Stanley’s Weight Gain

12345

Week

B.

117.8118.9119.3120.3120.7

Morning Weight

(pounds)117.1118.4119.2119.9120.5

Evening Weight

(pounds)

Stanley’s Weight Gain

12345

Week

D.

120.5119.9119.2118.4117.1

Morning Weight

(pounds)120.7120.3119.2117.8118.9

Evening Weight

(pounds)

Stanley’s Weight Gain

12345

Week

6

50. Jim planted four trees in his yard. He measured the growth of the trees by recording their heights (in inches) in the table below.

Week Tree A Tree B Tree C Tree D

Tree Growth Over Four Weeks

1 10.0 12.0 9.1 11.0

2 11.75 13.5 11.2 12.7

3 13.5 15.0 13.3 13.4

4 15.25 16.5 15.4 14.4

Which tree’s growth was nonlinear for the weeks shown in the table?

A. tree AB. tree BC. tree CD. tree D

51. Mr. Hopkins researched the annual cost of operating a vineyard depending on the size of the vineyard. The graph below shows his findings.

12,50011,50010,500

95008500750065005500450035002500

50 100 150 200 250

Operating Cost depending on Vineyard Size

Size of Vineyard (acres)

Ann

ual O

pera

ting

Cos

t (do

llars

)

According to the graph, what is the cost per acre?

A. $0.02 per acreB. $5 per acreC. $50 per acreD. $200 per acre

7

52. Choose the fraction that is less than 25%.

A. 14

B. 7

12 C. 2

3 D. 1

5

53. If Sarah drives an average of 60 miles per hour, how long will it take her to travel 28 miles?

d = rt

A. 19.5 minutes

B. 28 minutes

C. 32 minutes

D. 1 hour and 18 minutes

54. Kevin drew two similar right triangles.

3 in.

4 in.

5 in.A

B C

6 in.

8 in.

10 in.

D

E F

What is the ratio of the area of the smaller triangle to the area of the larger triangle?

A = 12 bh

A. 1:2

B. 1:4

C. 2:2

D. 3:4

55. Solve the inequality and graph the solution on a number line.

2w > -6

A.

0

B.

0

C.

0

D.

0

56. If the length of Sandro’s foot is 25 centimeters, about how many inches long is his foot?

1 inch = 2.54 centimeters

A. 10 inchesB. 15 inchesC. 20 inchesD. 25 inches

8

57. The chart below shows the cost of attending a play for groups of 20 or more.

Number of People (p)

Total Ticket Price (t)

20

60504030

$350$300$250$200$150

Which equation expresses this relationship?

A. t = $2.50p + $100

B. t = $10.00p – $50

C. t = $7.50p

D. t = $5.00p + $50

58. Which of the following is an irrational number?

A. 45%

B. √29

C. 0.25

D. 114

59. You burn about 225 calories by walking for 60 minutes.

Which proportion represents the equation for how many calories you would burn if you walked for 30 minutes?

A. 30 minx

15 min225 cal =

B. 60 min225 cal

x30 min =

C. 225 calx

30 min60 min =

D. 30 minx

60 min225 cal =

60. Line AC is parallel to line DF in the diagram below.

A

BE

D

G

H

CF

Points B and E each label the intersection of two lines. The measure of ∠ABG is 78°.

What is the m∠ABE?

A. 12°B. 78°C. 102°D. 122°

9

61. Look at the coordinate grid below.

y

0-4 -2 -6 42

4

-2

-4

-6

-8

AC

B

2

8

6

6 8-8 x

What is the length of line segment AB? Pythagorean Theorem: a2 + b2 = c2

A. 7B. 13C. 15D. 17

62. Jake’s grades in math class were 60, 80, 80, 88, 89, and 91. His teacher dropped the lowest grade.

What is the median of the remaining five grades?

A. 80B. 85C. 88D. 89

10

63. Chloe learned that the speed of sound through fresh water is about 1.4 × 103 meters per second.

In standard form, how many meters per second does sound travel through fresh water?

A. 14,000

B. 1,400

C. 140

D. 0.0014

64. Look at the graph below.

4321

4321-1-1-2

-2-3

-3-4

-4x

y

0

Which set of points is plotted in the graph?

A. 10

x43

y

B. 03

x24

y

C. 02

x40

y

D. 03

x20

y

65. The swimming pool that Melinda uses for dive practice is 7 meters deep.

About how many feet deep is this pool? 1 meter = 3.28 feet

A. 2B. 10C. 18D. 23

66. These two triangles are similar.

13 ft

8 ft 10 ft4 ft 5 ft

What is the length of the base of the smaller triangle?

A. 6 feetB. 6.5 feetC. 8 feetD. 9 feet

11

67. Conway made a graph to show how much money would be made for each box of cookies sold in the fund-raiser.

121086420

2 10864

Money Raised Based on Boxes Sold

Boxes Sold

Dol

lars

Rai

sed

Use the graph to determine what happens to the dollars raised as the number of boxes sold increases.

A. The dollars raised increases by the same amount for each box.

B. The dollars raised doubles for each box sold.

C. The dollars raised falls steadily for each box sold.

D. The dollars raised increases faster than the number of boxes sold.

68. The chart is a record of the rainy days from March 1 to May 31.

Rainy Days from March 1 through May 31

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

March April May

Given 31 days in March, what was the probability of having a rainy day in March?

A. 2831

B. 16

31 C. 10

31 D. 3

31

69. Which of the following numbers is a solution for the inequality shown below?

3(x – 2) > 9

A. 7B. 5C. 3D. 1

12

70. Santos filled a 3-gallon jug with lemonade. Each serving will be 8 ounces. He expects each person to have 1 1

2 servings.

How many people can he serve? 1 gallon = 128 ounces

A. 32B. 24C. 16D. 12