GRADE 8 WINTER REVIEW MATH PACKET - Weeblymzaichick.weebly.com/.../8052406/8th_grade...2015.pdf ·...

Student Name:___________________________ Math Teacher:_____________

Date:______________________ Period:_____

GRADE 8

WINTER REVIEW

MATH PACKET

2014-2015

1. What is the solution to the system of equations below?

a. (3, 1)

b. (0, 1)

c. (5, 4)

d. no solution

2. Which equation is equivalent to the equation below?

5(n + 6) = 2(n – 3) + 4

a. 5n + 6 = 2n + 1

b. 5n + 30 = 2n – 2

c. 5n + 6 = 2n – 2

d. 5n + 30 = 2n + 1

3. A taxicab service charges $3.75 plus $0.40 per mile. Molly takes a taxicab from the hotel to the airport. If thetotal charge was $10.95, which equation could be used to determine the number of miles from the hotel to theairport?

a. 3.75 + 0.4m = 10.95

b. 4.15m = 10.95

c. 3.75m + 0.4 = 10.95

d. 3.35m = 10.95

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Name: Class: Date:

8th Grade Student Winter Packet

4. What is the solution to the system of linear equations shown below?

a. (4, –3)

b. (–3, 4)

c. (3, –4)

d. (–4, 3)

5. Which of the following equations represents a horizontal line?

a. y = x

b. x = 5

c. y = –12

d. y = –x + 1

6. Which expression is equivalent to the expression below?

a • a • a • b • a • b • b • a • b • a

a. (ab)2

b. a–6b–4

c. a6b4

d. (ab)10

7. Which linear function has the steepest slope?

a.

b.

c. y = –6x + 1

d. y = 4x – 2


Name: Class: Date:


8. What is the approximate length of with endpoints N(7, 3) and P(–6, –2)? Round to the nearest tenth.

a. 10.2 units

b. 13.9 units

c. 5.7 units

d. 6.5 units

9. What is the distance between points A and B shown on the coordinate plane?

a. 10 units

b. 14 units

c. 8 units

d. 12 units

10. Latoya surveyed her friends to see how many pets they owned. Her 6 friends have a total of 11 cats and birds.If there are a total of 36 legs, how many cats and birds are there? Assume each cat has 4 legs and each birdhas 2 legs.

a. 6 cats and 4 birds b. 7 cats and 4 birds

c. 7 cats and 5 birds d. 6 cats and 5 birds


Name: Class: Date:


11. Kaley and Parker climbed down a mountain. Kaley descended the mountain at a rate of 8 feet per hour. Thegraph shows the rate at which Parker descended the mountain. Compare the functions’ rates of change.

a. Parker and Kaley descended the mountain at the same rate.

b. Kaley descended the mountain 4 times slower than Parker.

c. Kaley descended the mountain 4 feet per hour faster than Parker.

d. Parker descended the mountain 4 feet per hour faster than Kaley.

12. Which set of numbers could be the sides of a right triangle?

a. 8, 15, 17

b. 6, 8, 12

c. 9, 11, 21

d. 4, 12, 16


Name: Class: Date:


Graph each function. 13.

a. b.

c. d.

14. Solve the equation below for t.

3t – 5 = –21 + t

a. –8

b. –13

c. –52

d. –32


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15. Which point on the number line shows ?

a. point F

b. point G

c. point I

d. point H

16. Which of the following symbols results in a true number sentence when placed in the blank?

_____

a. =

b. >

c. <

d. ×

17. The distance from the Sun to Earth is about 1.5 × 1011 meters. Suppose light travels at a speed of 3 × 108

meters per second. About how long does it take light from the Sun to reach Earth?

a. 1.503 × 1011 seconds

b. 5 × 103 seconds

c. 4.5 × 1019 seconds

d. 5 × 102 seconds

18. Which value is equivalent to 4–3?

a.

b. –12

c.

d. –1


Name: Class: Date:


For business Sara flies all over the United States. The graph shows how many miles she flies.

Business Travel

Months (m)

19. Write an equation to find how many miles Sara will fly t in any number of months m.

a.

b.

c.

d.

20. A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 permile to rent the same van. For what number of miles will the rental cost be the same for both companies?

a. 180 miles

b. 260 miles

c. 150 miles

d. 650 miles


Name: Class: Date:


21. What is the domain of the function shown in the table?

a. all real numbers

b. {–3, –1, 0, 5, 7}

c. {–4, –2, 0, 2, 4}

d. all even integers

22. The slope of a line is and the y-intercept is (0, 6). What is the equation of the line in slope-intercept form?

a.

b.

c. x + 5y = 30

d. x – 5y = 30

23. The legs of a right triangle measure 7 units and 24 units. What is the measure of the hypotenuse? Round to thenearest tenth if necessary.

a. 25 units

b. 17 units

c. 23.0 units

d. 20.4 units

24. Soren has 6 dimes for every 7 pennies in a jar of coins. How many pennies does he have if he has 30 dimes?

a. 35 b. 42

c. 210 d. 180


Name: Class: Date:


25. Which relation is not a function?

a.

b.

c.

d.

26. Which of the expressions below is not equivalent to the other three?

a. 4–3

b. 0.015625

c.

d. 15.625%

27. Salvador is assembling a model train engine. The actual train engine is 15 feet long and 9 feet wide. If the scalehe uses is 1 inch = 5 ft, what are the dimensions of his model engine? Write your answer to the nearest tenth.

a. 1.8 ft. by 3.0 ft. b. 2.0 in. by 3.0 in.

c. 1.0 in. by 3.8 in. d. 1.8 in. by 3.0 in.

Solve each problem by writing and solving an equation. 28. Frieda and three of her friends decide to go canoeing. They each rent a life preserver for $12.75. They split the

cost of the canoe. If each person pays $23.75, how much did the canoe cost?

a. b.

c. d.

29. Jamal is stacking boxes of books for the library book sale. Each box contains 24 books. If the stack of boxes isin the shape of a square-based pyramid, how many books total will there be in a stack of 4 layers?

a. 30

b. 336

c. 28

d. 720


Name: Class: Date:


30. What is the solution to the equation below?

a.

b.

c.

d.

31. Which term describes the function shown below?

a. constant

b. nonlinear

c. linear

d. quadratic


Name: Class: Date:


Find the constant rate of change for each graph. 32.

a. $2.00 per candy

b. $0.25 per candy

c. $1.00 per candy

d. $0.50 per candy

33. What are the slope and y-intercept of the linear equation below?

y = –5x + 2

a. slope: 2, yintercept: (0, –5)

b. slope: –5, y-intercept: (2, 0)

c. slope: –5, y-intercept: (0, 2)

d. slope: 2, yintercept: (–5, 0)

34. Which systems of linear equations has a solution of (–2, 1)?

a.

b.

c.

d.


Name: Class: Date:


35. Between which two integers does lie on the number line?

a. between 8 and 9

b. between 9 and 10

c. between 7 and 8

d. between 6 and 7


Name: Class: Date:


Answer Key

1. c

2. b

3. a

4. b

5. c

6. c

7. c

8. b

9. a

10. b

11. d

12. a

13. a

14. a

15. d

16. a

17. d

18. c

19. c

20. c

21. c

22. a

23. a

24. a

25. d

26. d


Name: Class: Date:


27. d

28. c

29. d

30. c

31. b

32. d

33. c

34. b

35. b


Name: Class: Date:


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