Student Name: Date: Math Teacher: 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 the total charge was $10.95, which equation could be used to determine the number of miles from the hotel to the airport? a. 3.75 + 0.4m = 10.95 b. 4.15m = 10.95 c. 3.75m + 0.4 = 10.95 d. 3.35m = 10.95 Powered by Cognero Page 1
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 6 b 4 c. a 6 b 4 d. (ab) 10 7. Which linear function has the steepest slope? a. b. c. y = 6x + 1 d. y = 4x 2 Powered by Cognero Page 2
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 bird has 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 Powered by Cognero Page 3
11. Kaley and Parker climbed down a mountain. Kaley descended the mountain at a rate of 8 feet per hour. The graph 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 Powered by Cognero Page 4
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 Powered by Cognero Page 5
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 10 11 meters. Suppose light travels at a speed of 3 10 8 meters per second. About how long does it take light from the Sun to reach Earth? a. 1.503 10 11 seconds b. 5 10 3 seconds c. 4.5 10 19 seconds d. 5 10 2 seconds 18. Which value is equivalent to 4 3? a. b. 12 c. d. 1 Powered by Cognero Page 6
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 per mile 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 Powered by Cognero Page 7
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 the nearest 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 Powered by Cognero Page 8
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 scale he 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 is in 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 Powered by Cognero Page 9
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 Powered by Cognero Page 10
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, y intercept: (0, 5) b. slope: 5, y-intercept: (2, 0) c. slope: 5, y-intercept: (0, 2) d. slope: 2, y intercept: ( 5, 0) 34. Which systems of linear equations has a solution of ( 2, 1)? a. b. c. d. Powered by Cognero Page 11
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 Powered by Cognero Page 12
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 Powered by Cognero Page 13
27. d 28. c 29. d 30. c 31. b 32. d 33. c 34. b 35. b Powered by Cognero Page 14