127. a- 5 6 b 3 128. -a- 8 11 b 2 129. 6(10)(-1) 130. 10(-6)(-9) Evaluate each expression for the given values. 131. 1(x1 - x2)2 + (y1 - y2)2 for x1 = 17, x2 = -3, y1 = -11, y2 = 4 132. 1(x1 - x2)2 + (y1 - y2)2 for x1 = -10, x2 = 2, y1 = 3, y2 = -2 133. 2l + 2w for l = 11 and w = 15 134. 2l + 2w for l = 3 and w = 8 135. b2 - 4ac for a = -4, b = -7, c = -9 136. b2 - 4ac for a = -7, b = -8, c = 2 137. 1 2 bh for b = 4 and h = 5 138. 1 2 bh for b = 3 and h = 6 139. -b - 1b2 - 4ac 2a for a = 5, b = -7, c = -6 140. -b + 1b2 - 4ac 2a for a = 5, b = -7, c = -6 141. y2 - y1 x2 - x1 for x1 = -4, x2 = 13, y1 = -1, and y2 = -9 142. y2 - y1 x2 - x1 for x1 = 2, x2 = -3, y1 = -6, and y2 = -11 143. ux - 2u x + 3 for x = -3, -2, 0, 1, 2 144. u2x - 3u x for x = -2, -1, 0, 1, 2 Solve each problem. 145. The volume of a rectangular box is the product of the length, width, and height. Write an equation that represents the volume of a rectangular box, where l is the length, w is the width, and h is the height. Then use the equation to find the volume of a liquid storage tank that is a rectangular box with the length 32.4 in., width 26.6 in., and height 64.5 in. If there are 231 in.3 in a gallon, how many gallons will this tank hold? Round to the nearest integer. 146. The following chart shows the closing weekly price of Dow Jones Industrial Average prices for September 10 to October 8, 2010. (Source: http://www.google.com/finance/ historical?q=NYSE:ELY ) Date Closing Price Weekly Change in Price Percent Change in Price 10/8/2010 $11,006.48 10/1/2010 $10,829.68 9/24/2010 $10,860.26 9/17/2010 $10,607.85 9/10/2010 $10,462.77 n/a n/a a. Complete the chart by showing how the price of the stock changed from the previous week to the next and by calculating the percent change in the price for each week. b. After completing the chart, find the average weekly change in price. You Be the Teacher! Correct each student’s errors, if any. 147. Determine if 0 a or a 0 is undefined. Marcia’s work: 0 a = undefined and a 0 = 0 148. Simplify -(-12)2. Basil’s work: -( -12)2 =122 = 144 149. Simplify 12 15 ÷ a- 10 9 b . Holly’s work: 12 15 ÷ a- 10 9 b =- 12 15 · 10 9 =- 412 515 · 10 2 9 =- 8 9 Calculate It! Use a calculator to simplify each expression. Express each answer in fractional form, when applicable. 150. (-0.4)5 151. (-1.2)2 152. -a- 2 3 b 5 153. a- 3 4 b 2 154. 7 30 ÷ a- 1 21 b 155. - 15 8 ÷ a- 20 16 b · 12 70 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
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