Review Exercises 173 For Exercises 7 and 8, apply the commutative property of addition or multiplication to rewrite the expression. 7. t 5 8. For Exercises 9 and 10, apply the associative property of addition or multiplication to rewrite the expression. Then simplify the expression. 9. 412 p2 10. 1m 102 12 For Exercises 11–14, apply the distributive property. 11. 312b 52 12. 514x 6y 3z2 13. 14c 6d2 14. 14k 8w 122 For Exercises 15–22, combine like terms. Clear parentheses if necessary. 15. 5x x 8x 16. 3y 7y y 17. 6y 8x 2y 2x 10 18. 12a 5 9b 5a 14 19. 5 31x 72 x 20. 6 41z 22 2z 21. 41u 3v2 51u v2 22. 51 p 42 61 p 12 2 Section 3.2 For Exercises 23 and 24, determine if 3 is a solution to the equation. 23. 5x 10 5 24. 31x 12 9 x For Exercises 25–32, solve the equation using either the addition property of equality or the subtraction property of equality. 25. r 23 12 26. k 3 15 27. 10 p 4 28. 21 q 3 29. 5a 7 4a 20 30. 7t 4 8t 11 31. 41m 32 7 5m 21 32. 21w 32 3w 8 h 3 Section 3.3 For Exercises 33 – 38, solve the equation using either the multiplication property of equality or the division property of equality. 33. 4d 28 34. 3c 12 35. 36. 37. 42 7p 38. Section 3.4 For Exercises 39–52, solve the equation. 39. 9x 7 2 40. 8y 3 27 41. 45 6m 3 42. 25 2n 1 43. 44. 45. 5x 12 4x 16 46. 4t 2 3t 5 47. 8 4y 7y 4 48. 15 2c 5c 1 49. 61w 22 15 3w 50. 41h 52 h 7h 51. 15a 32 31a 22 24 a 52. 14b 72 21b 32 4b 13 Section 3.5 For Exercises 53–58, a. write an equation that represents the statement. b. solve the problem. 53. Four subtracted from a number is 13. Find the number. 54. The quotient of a number and 7 is 6. Find the number. 55. Three more than 4 times a number is 17. Find the number. 56. Seven less than 3 times a number is 22. Find the number. 57. Twice the sum of a number and 10 is 16. Find the number. x 5 2 3 p 8 1 5 12 m 4 p 5 7 t 2 13
miller_prealgebra_2e_ch1_3
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