68 Chapter 1 Real Numbers and Algebraic Expressions Write About It! Use complete sentences to explain the process or problem. 1. Multiply signed numbers 2. Simplify an exponential expression 3. Divide signed numbers (where the denominator is nonzero) 4. Explain why division by zero is undefined. Determine if the statement is true or false. If a statement is false, provide an example with real numbers that contradicts the statement. 5. The expression (-b)n, where n is a natural number, is always positive. 6. The expression -bn is equivalent to multiplying -b by itself n times. 7. The product of an odd number and a negative number is negative. 8. A negative base raised to an odd exponent is always negative. 9. The product of a nonzero real number and its additive inverse is 1. 10. Zero divided by a nonzero real number is always 0. Practice Makes Perfect! Perform the indicated operation and simplify. (See Objective 1.) 11. 8(-6) 12. (-3)(5) 13. 1 3 (-9) 14. a- 1 4 b(20) 15. a- 1 3 b(-9) 16. a- 1 4 b(-20) 17. a2 5 ba- 4 7 b 18. a- 3 8 ba4 9 b 19. a- 2 5 ba- 4 7 b 20. a- 3 8 ba- 4 9 b 21. 5(-2.3) 22. (-6)(1.4) 23. -3.24(1000) 24. 4.98(-100) 25. -5a- 1 5 b 26. a- 4 5 ba- 5 4 b 27. (-1)(-2)(3) 28. (-4)(5)(-6) 29. -7(-4)(-9)a2 3 b 30. -3(-4)(-7)a 1 14 b 31. (-9)(-8)(0)(-1) 32. (-4)(0)(-5)(3) 33. (-8.2)(10) 34. (-7.25)(100) Simplify each exponential expression. (See Objective 2.) 35. 82 36. 122 37. 53 38. 73 39. (-9)2 40. (-11)2 41. (-4)3 42. (-5)3 43. (-2)4 44. (-1)4 45. -132 46. -23 47. -(-5)4 48. -(-10)4 49. a1 4 b 2 50. a- 3 8 b 2 51. -a- 3 2 b 3 52. -a- 5 4 b 3 53. (0.8)2 54. (0.5)2 55. -(-1.2)3 56. -(-1.5)3 Perform the indicated operation and simplify. (See Objective 3.) 57. -12 3 58. -40 10 59. 14 -2 60. 18 -9 61. -16 -2 62. -1 -7 63. -5 ÷ 1 5 64. -7 ÷ 1 7 65. 4 7 ÷ a- 1 21 b 66. 5 6 ÷ a- 1 30 b 67. a- 2 3 b ÷ a- 2 3 b 68. a- 3 5 b ÷ a- 3 5 b 69. 0 -7 70. 0 -3 71. -5 0 72. -9 0 Evaluate each expression for the given values. (See Objective 4.) 73. -b + 1b2 - 4ac 2a for a = 2, b=-9, c = 10 74. -b + 1b2 - 4ac 2a for a = 3, b = 14, c = 8 75. -b - 1b2 - 4ac 2a for a = 2, b=-1, c=-28 76. -b - 1b2 - 4ac 2a for a=-6, b=-5, c = 4 77. 2x2 - 5x + 1 for x=-2, 0, 1 2 , 2 78. 3x2 + x - 2 for x=-2, 0, 1 2 , 2 �� ���������������� �������� EXERCISE SET
hendricks_beginning_algebra_1e_ch1_3
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