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Section 1.2 Operations with Real Numbers and Algebraic Expressions 31 97. The volume of a sphere is given by 4 3 πr3, where r is the radius of the sphere. Find the volume of a sphere that has a radius of 8.5 in. Round answer to the nearest hundredth. 98. The volume of a sphere is given by 4 3 πr3, where r is the radius of the sphere. Find the volume of a sphere that has a radius of 12.4 in. Round answer to the nearest hundredth. Mix ’Em Up! Simplify each expression. 99. - 1 2 + 1 6 100. - 1 5 + 2 3 101. a- 7 8 b 2 102. a- 10 13 b 2 103. -3 + a- 1 4 b 104. -5 + a- 3 5 b 105. 98 0 106. - 32 0 107. -a6 5 b 3 108. -a9 7 b 3 109. -a1 2 ba4 5 b 2 ÷ 1 50 + 2 110. a- 1 6 ba3 4 b 2 ÷ 1 96 + 3 111. -108 -3 112. 216 -4 113. 13 15 ÷ a- 26 25 b 114. - 12 11 ÷ 48 55 115. 0 -3 116. 0 14 117. -10 + 9 3 - (-1) 118. -4 + 6 11 - (-3) 119. 2(-3.5)2 - 1.6(2.1) 120. -3(-6.1)2 + 4.5(-2.4) 121. 1 + 113 - 4 -2u2 - 5u2 122. 1 - 111 + 5 -1u7 - 4u2 Evaluate each expression for the given values. 123. 1 2 bh for b = 6 and h = 1 12 124. 1 2 bh for b = 4 7 and h = 14 125. - 2 3 x3 + 3x2 - 10 for x=-6 126. - 1 4 x 4 + 5x2 - 3 for x=-2 Solve each problem. Round to two decimal places when appropriate. 127. From June 1995 to June 2009, the average retail price (in cents per gallon) of regular gas in California can be approximated by 0.005x4+ 0.08x3- 0.34x2+ 2.64x + 133.02, where x is the number of years after 1995. According to this model, what was the average retail price of regular gas in 1995? 128. According to the model in Exercise 127, what was the average retail price of regular gas in 2007? 129. What is the net worth of a family with $120,000 in assets and $150,000 in liabilities? 130. What is the net worth of a family with $85,000 in assets and $210,000 in liabilities? 131. The chart shows the high temperatures in Philadelphia for a week in June. Date Temperature Daily Change in Temperature Monday 88°F n/a Tuesday 89°F Wednesday 86°F Thursday 86°F Friday 93°F a. Complete the chart to show how the high temperature changed from one day to the next. b. After completing the chart, find the average daily change in the high temperature. 132. The chart below shows the 5-day weather forecast of Melbourne, Australia, for a week in June. Date Temperature Daily Change in Temperature Monday 54°F n/a Tuesday 58°F Wednesday 59°F Thursday 61°F Friday 57°F a. Complete the chart to show how the high temperature changed from one day to the next. b. After completing the chart, find the average daily change in the high temperature.


hendricks_intermediate_algebra_1e_ch1_3
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