88 Chapter 1 Real Numbers and Algebraic Expressions 78. a3 4 b + a- 2 5 b 79. a-5 5 6 b + 3 1 4 SECTION 1.5 Perform the indicated operation. (See Objectives 1 and 2.) 80. (-13.8) - 9.4 81. 2.62 - (-1.79) 82. 3 - 8 5 83. 1 3 5 - a-3 4 5 b 84. 19 - 3 + (-7) - (-11) 85. 13 + (-10) - (-9) - 5 86. -4 + (-14) - (-6) 87. -9 + (-16) - (-1) 88. 3.2 - (-2.7) + 1.9 - 0.6 89. 5.1 + (-3.4) - 4.2 - 0.1 Write the mathematical expression needed to solve each problem and then answer the question asked. (See Objective 3.) 90. The highest point on the South American continent is the peak of Mount Aconcagua. The peak is 22,834 ft above sea level. The lowest point on land in the United States is in Death Valley at 282.2 ft below sea level. What is the difference between these elevations? 91. The Hershey Company reported an annual net sales of $5671 million, total cost and expenses of $4766 million, interest expense of $96 million, and income taxes of $299 million in 2010. What was Hershey Company’s total net income in 2010? (Source: http://www.thehersheycompany .com/investors/financialreports.aspx) 92. The lowest recorded temperature in Illinois was -36°F at the Congerville weather station on January 5, 1999. The highest recorded temperature was 117°F at the East St. Louis weather station on July 14, 1954. What is the difference between the highest and lowest temperatures? 93. Wayne has $163.23 in his checking account. He deposits his paycheck of $545.85. Wayne writes a check for phone bill for $85.55, for groceries for $113.43, and then for rent for $455. What is Wayne’s checking account balance? SECTION 1.6 Perform the indicated operation and simplify. (See Objectives 1, 2, and 3.) 94. (-12)(-20) 95. (-2.5)(0.8) 96. (-6)a 7 20 b 97. a- 5 12 ba- 16 25 b 98. 35 -14 99. -64 100. -(-2)4 101. -a- 2 3 b 3 102. 0 5 103. 6 ÷ 0 104. 28 -6 ÷ (-4) 105. a- 42 18 b ÷ a 8 14 b 106. 9(-12)(-2) 107. -6(-3)(-5) Translate each phrase into a mathematical expression and then simplify the resulting expression, if applicable. Use the variable x for any unknown number. (See Objective 5.) 45. 7 less than -18 46. The difference of 22 and -10 47. 6 subtracted from -11 48. -10 decreased by 4 49. 9 less than the sum of -13 and 7 50. 21 more than the difference of 18 and -4 51. 5 more than -2 52. The sum of 12 and -25 53. 15 increased by -3 54. -19 added to 16 55. 7 less than -18 56. The product of -1, -5, and 2 57. Twice -35 58. Three times 25 59. 30% of -12 60. One-half of 15 61. The ratio of 28 and 42 62. 54 divided by -2 63. The quotient of -32 and -48 64. Four times the sum of a number and 34 65. The difference of seven times a number and 12 66. 2 less than five times the sum of a number and 6 67. Twice the product of a number and 45 68. The product of 12 and the sum of a number and -7 69. Six times the quotient of a number and -9 Solve each problem. (See Objective 6.) 70. The expression P(1 + r)t represents the amount of money in an account when P dollars is invested at an annual interest rate of r (in decimal form) for t years. Find the amount of money in the account at the end of 5 yr if $1250 is invested at 1.8% annual interest. 71. The height of a baseball hit upward with an initial velocity of 128 ft/s from an initial height of 16 ft is represented by the expression -16t2 + 128t + 16, where t is the number of seconds after the ball has been hit. What is the height of the ball after 3 sec? Write an algebraic expression that represents the unknown quantity. (See Objective 6.) 72. Norma mixes a 6% salt solution with a 35% solution to get a 22% solution. Let x oz represent the volume of the 6% salt solution. If Norma wants 60 oz of 22% salt solution, write an expression that represents the volume of the 35% salt solution. 73. In a rectangle, the length is two more than four times the width. If w represents the width, write an expression that represents the length of the rectangle. SECTION 1.4 Perform the indicated operation and simplify. (See Objectives 1 and 2.) 74. -5.6 + (-2.1) 75. 3.12 + (-2.85) 76. - 11 12 + 17 18 77. a- 7 3 b + a- 13 6 b
hendricks_beginning_algebra_1e_ch1_3
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