By Michael Sullivan, Michael Sullivan III

**Michael Sullivan’s** time-tested procedure focuses scholars at the basic abilities they want for the direction: *preparing *for classification, *practicing *with homework, and *reviewing* the techniques. The **Enhanced with Graphing Utilities Series**has developed to fulfill today’s path wishes by way of integrating using graphing calculator, active-learning, and expertise in new how one can support scholars prevail of their path, in addition to of their destiny endeavors.

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11 27 83. 1#3 7 + 2 5 10 84. 2 4#1 + 3 5 6 85. 2 # 78. Algebra Essentials 17 3 2 14 21 5 21 82. 2 35 3 3 + 4 8 86. 3 # 5 1 6 2 In Problems 87–98, use the Distributive Property to remove the parentheses. 87. 6(x + 4) 88. 4(2x - 1) 89. x(x - 4) 90. 4x(x + 3) 3 1 91. 2 a x - b 4 2 1 2 92. 3 a x + b 3 6 93. (x + 2)(x + 4) 94. (x + 5)(x + 1) 95. (x - 2)(x + 1) 96. (x - 4)(x + 1) 97. (x - 8)(x - 2) 98. (x - 4)(x - 2) Explaining Concepts: Discussion and Writing 99. Explain to a friend how the Distributive Property is used to justify the fact that 2x + 3x = 5x.

236 83. 2( - 4)2 84. 2( - 3)2 -1 -3 In Problems 85–94, simplify each expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, assume that the base is not 0. x2 y3 2 2 3 86. ( - 4x 2) - 1 87. (x 2 y -1) 88. (x -1 y) 89. 85. (8x 3) xy 4 90. x -2 y xy 91. 2 ( - 2)3 x 4(yz)2 2 92. 3 3 xy z 4x -2(yz)-1 93. ¢ 3 4 2 x y 3x -1 4y -1 ≤ -2 94. ¢ 5x -2 -3 ≤ 6y -2 In Problems 95–106, find the value of each expression if x = 2 and y = - 1. 97. x 2 + y 2 98. x 2 y 2 95.

Find the value of the expression 2x 3 - 3x 2 + 5x - 4 if x = 2. What is the value if x = 1? 108. Find the value of the expression 4x 3 + 3x 2 - x + 2 if x = 1. What is the value if x = 2? (666)4 109. What is the value of ? 110. 1)3(20)3 ? (222)4 In Problems 111–118, use a calculator to evaluate each expression. Round your answer to three decimal places. 111. 2)6 112. 7)5 113. 1)-3 114. 2)-5 115. 8)6 116. 8)6 117. 11)-4 118. 11)-4 In Problems 119–126, write each number in scientific notation. 119.