Write each expression using exponents a b c x x x y y x. x y. x 3 y. x y. x y

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1 1. Which of the following is equivalent to? Write the decimal as a fraction or mixed number in simplest form Replace each with <, >, or = to make a true statement. 3. < > = Name all sets of numbers to which the real number belongs rational and integer rational irrational integer Write the expression using 5. 2 d 5 d d d d d d Write each expression using Write the expression using 7. x x y x x 3 y Write each expression using 8. ALGEBRA Evaluate the expression. 9. m 2 n, if m = 6 and n = Replace with <, >, or = to make a true statement: Rory s garden is square in shape. The length of one side of her garden is 5 2 feet. What is the area of her garden in square feet? Express your answer using r ( 4r ) 13. = Simplify. Express using 15. Simplify , BONUSES A company has set aside 10 dollars for annual employee bonuses. If the company has 10 employees and the money is divided equally among them, how much will each employee receive? $100 $1,000 $10,000 $100,000

2 17. ( a b ) Simplify. Express using positive 21. n n Write the expression using a positive exponent. 19. z z Write each expression using a negative exponent DISTANCE A long-distance runner runs 2 miles one week and 2 miles the next week. How many times farther did he run in the second week than in the first week? 24. MEASUREMENT 1 milligram is equal to 10 grams. Write this number using a positive exponent GARDENING Moesha has 196 pepper plants that she wants to plant in square formation. How many pepper plants should she plant in each row? 98 plants 49 plants 15 plants 14 plants no real solution Estimate

3 GAMES A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players. 245 players 10 players 6 players 5 players 36. GAMES A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players. 245 players 10 players 6 players 5 players 37. 7p 5 = 6p a 16 = 4a Solve 5(y + 2) = 6(y 1) Solve each equation. Check your solution. 40. (7t 2) ( 3t + 1) = 3(1 3t) 1 0 Solve each equation z = = 3.87a a = 44. b = Which point on the number line shows? point F point G point H point I 46. 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? 150 miles 180 miles 260 miles 650 miles 47. 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? 3.75m = m = m = m = Which value is equivalent to 4 3? 12 1

4 49. Which of the following symbols results in a true number sentence when placed in the blank? = > < 50. Between which two integers does lie on the number line? between 6 and 7 between 7 and 8 between 8 and 9 between 9 and Which of the expressions below is not equivalent to the other three? % Which expression is equivalent to the expression below? a a a b a b b a b a a 6 b 4 a 6 b 4 (ab) 10 (ab) 2 Solve the equation d 6 = 3(d + 2) 12d all numbers (5x + 6) = 24(x + 3) What is the value of b in the equation below? 4(b 1) = 2b

5 Answer Key 1. d 2. c 3. b 4. b 5. c 6. d 7. c 8. c 9. b 10. a 11. c 12. b 13. b 14. b 15. d 16. b 17. d 18. b 19. b 20. d 21. a 22. d 23. c 24. c 25. b 30. a 31. b 32. d 33. c 34. b 35. d 36. d 37. d 38. a 39. d 40. b 41. c 42. a 43. d 44. a 45. c 46. a 47. b 48. d 49. a 50. d 51. b 52. c 53. a 54. b 55. d 26. c 27. a 28. b 29. d