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hendricks_intermediate_algebra_1e_ch1_3

SECTION 1.3 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. Explain the meaning of an identity. 2. Explain the meaning of an inverse. 3. Explain the commutative property of addition and multiplication. 4. Explain the associative property of addition and multiplication. Practice Makes Perfect! Find both the additive inverse and multiplicative inverse of each number. Assume all variables represent nonzero numbers. (See Objective 1.) 5. 5 6. 8 7. -20 8. -41 9. 3 4 10. 5 2 11. - 6 7 12. - 8 9 13. 2x 14. 5x 15. 3 x 16. 5 x Apply the commutative property of addition or the commutative property of multiplication to rewrite each expression as an equivalent expression and then simplify the expression. (See Objective 2.) 17. 3 + x + 5 18. 5 + x + 2 19. 10 + a - 7 20. 13 + a - 5 21. -2 + y - 7 22. -6 + y - 1 23. 3(x)(5) 24. 4(x)(6) 25. -8(a)(-7) 26. -9(a)(-2) Apply the associative property of addition or the associative property of multiplication to rewrite each expression as an equivalent expression and then simplify the expression. (See Objective 2.) 27. (4x + 3) + 5 28. (7x + 9) + 6 29. (x - 2) + 1 30. (x - 5) + 3 31. 5(2b) 32. 3(6b) 33. -7(-2y) 34. -9(-3y) Apply the distributive property to rewrite each expression and then simplify the expression. (See Objective 2.) 35. 3 (a + b) 36. 5(q + r) 37. 10(t + 7) 38. 9(l + 3) 39. -4(9x + 4) 40. -12(6x + 5) 41. -(2x - 5) 42. -(3x - 1) 43. 2(4x + 7y) 44. 4(5f + 6g) 45. -6(5x + 2y + 1) 46. -2(-3x + 4y - 2) Simplify each expression. (See Objective 3.) 47. 14d - 13 + 12d - 15 48. 16a - 11 + 18a + 12 49. x2 + 5x + 3x + 15 50. a2 + 3a + 4a + 12 51. 6x2 - 8x - 3x + 4 52. 9y2 - 15y - 15y + 25 53. y3 - 3y2 + 9y + 3y2 - 9y + 27 54. y3 + 5y2 + 25y - 5y2 - 25y - 125 55. 8b3 + 24b2 + 18b + 12b2 + 36b + 27 56. 64x3 - 160x2 + 100x - 80x2 + 200x - 125 57. 0.03x + 0.05(1000 - x) 58. 0.04x + 0.01(3000 - x) 59. 0.25x + 0.60(40 - x) 60. 0.10x + 0.30(600 - x) 61. 4 - 5(x - 2) 62. 7 - 4(x + 3) 63. -8 + 2(4x - 1) 64. -9 + 3(10x + 6) 65. 6a2x - 5 3 b - 4a x + 1 2 b 66. 10a1 - 6x 2 b - 6a 3x + 2 3 b 67. 12ax - 7 4 b + 6a3 - 5x 2 b 68. -4a3x - 1 2 b + 15a4x - 1 5 b 42 Chapter 1 Real Numbers and Algebraic Expressions


hendricks_intermediate_algebra_1e_ch1_3
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