55. (-5)3 56. (-10)3 57. a- 4 3 b 2 58. a- 1 6 b 2 59. -a 1 10 b 4 60. -a3 5 b 4 Use the order of operations to simplify each expression. (See Objective 4.) 61. -6 + 3 5 - (-4) 62. -2 + 6 10 - (-2) 63. -1 - (-5) 6 - 10 64. -3 - (-8) 1 - 11 65. (-2)3 - 3(4)( - 1) 66. (-3)2 - 2(5)(-6) 67. 12(-102) - 3(-7) 68. 5(-82) - 6(-3) 69. -3(1 - 4)2 + 7 70. -2(3 - 5)3 - 10 71. 22 - (-2)2 + (-1 - 2)2 72. 21 - (-4)2 + (-10 - 2)2 73. 11 - 3(7 - 2) - (6 + 2) - 24 ÷ 8 · 3 74. -9 - 2(8 - 1) + (4 + 3) - 30 · 5 ÷ 6 75. 7 + 127 - 2 -3u8 - 12u2 76. 6 + 15 - 1 -1u5 - 1u2 Evaluate each expression for the given values. (See Objective 5.) 77. 1 3 x + 2 for x=-6 78. 1 2 x - 3 for x=-8 79. 4x2 + 2x - 5 for x = 1 80. 3x2 - x + 10 for x = 5 81. -2x3 + 6x - 1 for x=-2 82. - 4x3 + 2x - 3 for x=-1 83. b2 - 4ac for a = 3, b = 1, c=-2 84. b2 - 4ac for a=-6, b = 5, c=-3 85. -b - 1b2 - 4ac 2a for a = 1, b=-5, c = 4 86. -b - 1b2 - 4ac 2a for a = 2, b=-1, c=-3 Solve each problem. (See Objective 6.) 87. What is the net worth of the Gingrich family if their assets are $860,000 and their liabilities are $248,000? 88. What is the net worth of the Owens family if their assets are $500,000 and their liabilities are $310,000? 89. What is the net worth of the Lucas family if their assets are $75,000 and their liabilities are $92,000? 90. What is the net worth of the Kerns family if their assets are $93,000 and their liabilities are $103,500? As of April 2010, the expression 1.2917x4 - 74.231x3 + 1590.403x2 - 15,047x + 53,063 approximates the percent of 12- to 17-year-olds who prefer to contact their friends by text messaging, where x is the age. (Source: http:// pewresearch.org/pubs/1572/teens-cell-phones-text-messages) 91. What percent of 12-year-olds prefer to use text messaging to contact their friends? 92. What percent of 15-year-olds prefer to use text messaging to contact their friends? 93. What percent of 16-year-olds prefer to use text messaging to contact their friends? 94. What percent of 17-year-olds prefer to use text messaging to contact their friends? 95. The chart shows the closing price of Microsoft’s stock for a week in 2011. (Source: http://www.dailyfinance.com/ quote/nasdaq/microsoft-corp/msft) Date Closing Price of Microsoft Stock Daily Change in Price 6/20/2011 $24.47 n/a 6/21/2011 $24.76 6/22/2011 $24.65 6/23/2011 $24.63 6/24/2011 $24.30 a. Complete the chart to show how the price of the stock changed from one day to the next. b. After completing the chart, find the average daily change in price. 96. The chart shows the closing price of BP’s stock for a week in 2011. (Source: http://www.dailyfinance.com/quote/ nyse/bp-plc-adr/bp) Date Closing Price of of BP Stock Daily Change in Price 10/17/2011 $40.17 n/a 10/18/2011 $41.11 10/19/2011 $40.78 10/20/2011 $41.32 10/21/2011 $42.35 a. Complete the chart to show how the price of the stock changed from one day to the next. b. After completing the chart, find the average daily change in price. 30 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_intermediate_algebra_1e_ch1_3
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