Page 178 - Basic College Mathematics with Early Integers

S E C T I O N 2.6 I ORDER OF OPERATIONS 155

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3
2
3
2
3
37. 7 8 + 4 38. 10 5 + 7 39. 5 - (4 - 2 ) 40. 8 - (5 - 2) 4
41. ƒ 3 - 12 ƒ , 3 42. ƒ 12 - 19 ƒ , 7 43. -(-2) 2 44. -(-2) 3
2
2
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45. (5 - 9) , (4 - 2) 2 46. (2 - 7) , (4 - 3) 4 47. ƒ 8 - 24 ƒ (-2) , (-2)
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48. ƒ 3 - 15 ƒ (-4) , (-16) 49. (-12 - 20) , 16 - 25 50. (-20 - 5) , 5 - 15

2
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51. 5(5 - 2) + (-5) - 6 52. 3 (8 - 3) + (-4) - 10 53. (2 - 7) (6 - 19)
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54. (4 - 12) (8 - 17) 55. 2 - 7 6 - 19 56. 4 - 12 8 - 17
2
57. (-36 , 6) - (4 , 4) 58. (-4 , 4) - (8 , 8) 59. -5 - 6 2

2
4
4
60. -4 - 5 4 61. (-5) - 6 2 62. (-4) - (5) 4
2 3
2 2
2
63. (10 - 4 ) 64. (11 - 3 ) 65. 2(8 - 10) - 5(1 - 6) 2
2
66. -3(4 - 8) + 5(14 - 16) 3 67. 3(-10) , [5(-3) - 7(-2)] 68. 12 - [7 - (3 - 6)] + (2 - 3) 3

(-7)(-3) - (4)(3) 10(-1) - (-2)(-3)
69. 70. 71. -5[4 + 5(-3 + 5)] + 11
3[7 , (3 - 10)] 2[-8 , (-2 - 2)]

72. -2[1 + 3(7 - 12)] - 35 73. -3[5 + 21-4 + 92] + 15 74. -2[6 + 412 - 82] - 25

Objective Evaluate each expression for x =-2, y = 4, and z =-1. See Examples 11 through 14.
75. x + y + z 76. x - y - z 77. 2x - 3y - 4z 78. 5x - y + 4z

5y 4x
2
79. x - y 80. x + z 81. 82.
2
z y

Evaluate each expression for x =-3 and z =-4. See Examples 11 through 14.

83. x 2 84. z 2 85. -z 2 86. -x 2

87. 10 - x 2 88. 3 - z 2 89. 2x - z 90. 3z - x
3
2

Objective Find the average of each list of numbers. See Example 15.

91. -10, 8, -4, 2, 7, -5, -12 92. -18, -8, -1, -1, 0, 4

93. -17, -26, -20, -13 94. -40, -20, -10, -15, -5