GA Benchmark 8th Math (2008GABench8thMathset1)

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1 Name: Date: 1. Tess will toss a fair coin 3 times. The possible results are illustrated in the tree diagram below. Based on the information given in the tree diagram, in how many ways (outcomes) can Tess toss at least 2 heads? A. 2 B. 3 C. 4 D An auto mechanic charges $50 plus $25 for every hour he works. The mechanic charged a person $ How many hours did the mechanic work? A. 2.8 hours B hours C. 6.5 hours D. 8.5 hours 1

2 3. Which equation is the slope-intercept form of A. B. C. D. 4. If n represents an even number greater than 2, what is the next larger even number? A. n + 1 B. 2n + 1 C. 2n D. n + 2 E. n 2 National Center for Education Statistics, U.S. Department of Education 5. Which of the following is not an irrational number? A. B. C. D. 2

3 6. A part of the real number line is shown below. Which letter best represents the location of A. Q B. R C. S D. T 7. Janice rented a moving van for one day at a rate of $30 per day plus $0.25 per mile. Which of the following equations can she use to calculate c, the cost, in dollars, of renting the van for one day and driving it m miles? A. c = 55m B. c = 30.25m C. c = m D. c = m 8. The area of a square is 49 square inches. What is the length of one side of the square? A. 49 inches B. 25 inches C. 12 inches D. 7 inches 9. Choose the graph that represents the solution to x + 7 > 3. A. B. C. D. 3

4 10. Jeff dug a 4-foot deep hole to plant a tree. The hole needed to be at 1-foot deep plus an additional 6 inches deep for every 1-foot tall the tree was. How tall was the tree Jeff planted? A. 4 feet B. 5 feet C. 6 feet D. 7 feet 11. An object is dropped from a small plane flying at a height of 1000 feet above the ground. As the object falls, d, its distance above the ground after t seconds, is given by the formula below. How far above the ground is the object when it has fallen for 4 seconds? A. 984 feet B. 936 feet C. 872 feet D. 744 feet 12. Between what two consecutive whole numbers does lie? A. 6 and 7 B. 7 and 8 C. 8 and 9 D. 9 and 10 4

5 13. Which graph below best represents y = 3x +4? A. B. C. D. 5

6 14. Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches? A. 10 in. B in. C. 20 in. D in. 15. This graph represents If the line in the graph is shifted down 3 units, which is the equation for the new line? A. B. C. D. 6

7 16. Which of the following is not a perfect square? A. 49 B. 64 C. 81 D This shows all the different ways a pair of number cubes can land in a game Robbie is playing. To win on his next turn, he needs to roll an 8. What is the probability that Robbie will win on his next turn? A. B. C. D. 7

8 18. What is the least whole number x for which 2x > 11? A. 5 B. 6 C. 9 D. 22 E. 23 National Center for Education Statistics, U.S. Department of Education 19. A board that is c feet long supports the stairs as shown below. To find the value of c, Britney used the following expression. What is c to the nearest tenth of a foot? A ft B ft C ft D ft 8

9 20. Which equation defines the linear line of best fit for the data in the table? A. y = 19.5x 0.35 B. y = 0.35x C. y = 19.5x D. y = 0.35x According to the Venn diagram, which statement is true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also isosceles triangles. C. Some equilateral triangles are also isosceles triangles. D. No isosceles triangles are equilateral triangles. 9

10 22. Two parallel sections of pipe are joined with a connecting pipe as shown. What is the value of x? A. B. C. D. 23. On a regular coordinate grid, the point ( 7, 10) is in which quadrant? A. I B. II C. III D. IV 24. Which is a statement of the Pythagorean Theorem? A. The area of square is determined by multiplying the length of one side by itself. B. A particular type of polygon that has eight equal side lengths and eight equal angles. C. The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides. D. The sum of two sides of a triangle is always greater than the length of the third side. 10

11 25. A flower shop sells the two flower arrangements shown below. Each rose has the same price, and each daisy has the same price. What is the price of one rose? A. $3 B. $6 C. $9 D. $12 11

12 26. Which of the following numbers is a solution for the inequality shown below? A. 10 B. 5 C. 0 D At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of them sold 152 hot dogs altogether. How many hot dogs did Carmen sell? A. 21 B. 38 C. 51 D. 114 E. 148 National Center for Education Statistics, U.S. Department of Education 28. If 3 + w = b, then w = A. b/3 B. b 3 C. b + 3 D. 3 - b E. b - 3 National Center for Education Statistics, U.S. Department of Education 12

13 29. Darnae is planning to decorate her room. She will choose 1 color of paint, 1 color of carpet, and 1 pattern for the wallpaper. The colors and patterns she will choose from are shown below. How many different combinations of 1 paint color, 1 carpet color, and 1 wallpaper pattern are possible? A. 7 B. 8 C. 10 D For an art project, it costs Toby $4 for supplies, and $2 for every piece of paper he needs. Which equation could Toby use to determine the total cost (y) for the project for any number of pieces of paper (x)? A. y = 2x + 4 B. y = -2x + 4 C. y = 4x + 2 D. y = -4x

14 Answer Key 1. C) 4 2. C) 6.5 hours 3. A) 4. D) n D) 6. B) R 7. C) c = m 8. D) 7 inches 9. A) 10. C) 6 feet 11. D) 744 feet 12. B) 7 and D) 14. B) 14.8 in. 15. C) 14

15 16. D) A) 18. B) C) 21.6 ft 20. D) y = 0.35x B) All equilateral triangles are also isosceles triangles. 22. C) 23. B) II 24. C) The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides. 25. B) $6 26. A) D) E) b D) A) y = 2x

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