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Course 2 • Benchmark Test – Third Quarter 251

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.Course 2 Benchmark Test – Third Quarter 1. Suppose the length of each side of a

square is increased by 5 feet. If the perimeter of the square is now 56 feet, what were the original side lengths of the square?

A. 9 ft

B. 11 ft

C. 14 ft

D. 36 ft

2. Which operation should be performed first to solve the inequality below?

-3x + 5 ≤ 23

F. add 5 to each side

G. divide each side by -3

H. reverse the inequality symbol

I. subtract 5 from each side

3. What is the measure of x in the figure below?

65°x

A. 25°

B. 65°

C. 115°

D. 125°

4. Which of the following shows a straight angle?

F.

G.

H.

I.

5. What is the solution to the equation below?

x −

3 = -6

A. -18

B. -9

C. -3

D. -2

6. SHORT ANSWER The sum of the measures of the angles of a triangle is 180°. Write and solve an equation to find the missing measure in the figure below. Show your work.

60° 35°

n°

85; 60 + 35 + n = 180

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7. Which of the following best classifies the triangle below by its angles and sides?

F. acute, isosceles

G. acute, equilateral

H. right, scalene

I. right, isosceles

8. SHORT ANSWER A shipping company charges $3.50 plus $0.85 per pound to ship a package. Janet shipped a package and the total charge was $8.60. Write and solve an equation to find the weight of the package.

9. Which of the following describes the shape resulting from the cross section below?

A. circle

B. oval

C. rectangle

D. line

10. What is the solution to the equation below?

- 5 −

4 x +

2 −

5 = -

13 −−

30

F. 2 −−

75

G. 25 −−

24

H. 2 −

3

I. 11 −−

12

11. Terrance is making a scale model of a car that is 16 feet long. He is using the scale 1 inch = 2.5 feet. How long is Terrance’s model?

A. 5.8 in.

B. 6.4 in.

C. 28 in.

D. 40 in.

12. Which of the following describes the shape resulting from the cross section below?

F. rectangle

G. square

H. triangle

I. parallelogram

6 pounds; 3.50 + 0.85n = 8.60

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.Course 2 Benchmark Test – Third Quarter (continued)

13. SHORT ANSWER Carla and Mandy are solving the inequality below.

-4x ≥ 12

Carla says the solution is x ≤ -3, while Mandy says the solution is x ≥ -3. Which student is correct? What mistake was made by the other student?

14. Which number line shows the solution to the inequality below?

v - 2 > 1

A. 0 1 2 3 4 5-5 -4 -3 -2 -1

B. 0 1 2 3 4 5-5 -4 -3 -2 -1

C. 0 1 2 3 4 5-5 -4 -3 -2 -1

D. 0 1 2 3 4 5-5 -4 -3 -2 -1

15. Angles R and Z are complementary. If m∠R = 26°, what is the measure of angle Z?

F. 26°

G. 64°

H. 74°

I. 154°

16. Tien bought movie tickets for herself and two of her friends. She paid $8.50 for each ticket. If Tien has $14.50 left, how much money did she have before she bought the movie tickets?

A. $28.00

B. $31.50

C. $37.50

D. $40.00

17. The angle measures of a triangle are 28°, 70°, and 82°. Which of the following best classifies the triangle by its angle measures?

F. acute

G. obtuse

H. right

I. scalene

18. What type of angle is shown below?

A. acute

B. right

C. obtuse

D. straight

Carla; Sample answer: Mandy forgot to reverse the inequality symbol.

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254 Course 2 • Benchmark Test – Third Quarter

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use.Course 2 Benchmark Test – Third Quarter (continued)

19. Which of the following is a possible cross section of the figure below?

F. triangle

G. hexagon

H. square

I. trapezoid

20. What is the scale factor of a drawing if the scale is 1 inch = 6 feet?

A. 1 −−

72

B. 1 −

6

C. 6

D. 72

21. Fran wants to rent a scooter for the afternoon, but she can spend no more than $50.

Scooter Rental

First Hour…………. ................. $12.50

Each Additional Hour………..... $7.50

Which inequality can Fran use to find the maximum number of hours she can rent a scooter?

F. 12.5 + 7.5n ≤ 50

G. 12.5 + 7.5n < 50

H. 12.5n + 7.5 ≤ 50

I. 20n < 50

22. SHORT ANSWER Solve the equation below. Check your answer.

2(x + 5) = 16

23. Five more than twice a number is equal to 19. What is the number?

A. 6

B. 7

C. 12

D. 28

24. Two angle measures in a parallelogram are labeled. Which term best describes the angles?

115°

65°

F. complementary

G. acute

H. obtuse

I. supplementary

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.Course 2 Benchmark Test – Third Quarter (continued)

25. SHORT ANSWER Jamal built the three-dimensional figure below using blocks.

front

Sketch the front, side, and top views of the figure.

Front Side

Top

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