38 CHAPTER R Review of Basic Concepts Concept Check Use the distributive property to calculate each value mentally. 137. 72 # 17 + 28 # 17 138. 32 # 80 + 32 # 20 139. 123 5 8 # 1 1 2 - 23 5 8 # 1 1 2 140. 17 2 5 # 14 3 4 - 17 2 5 # 4 3 4 (Modeling) Blood Pressure Difference Use the formula for determining blood pressure difference from normal, Pd = 0 P - 1200 , to solve each problem. See Example 9. 141. Calculate the Pd value for a woman whose actual systolic blood pressure is 116. 142. Determine two possible values for a person’s systolic blood pressure if his Pd value is 17. Evaluate each expression for x = -4 and y = 2. See Example 10. 143. 0 3x - 2y 0 144. 0 2x - 5y 0 145. 0 -3x + 4y 0 146. 0 -5y + x 0 147. 20 y 0 - 30 x 0 0 xy 0 148. 40 x 0 + 40 y 0 0 x 0 149. 0 -8y + x 0 -0 x 0 150. 0 x 0 + 20 y 0 -0 x 0 Find the given distances between points P, Q, R, and S on a number line, with coordinates -4, -1, 8, and 12, respectively. See Example 11. 151. d1P, Q2 152. d1P, R2 153. d1Q, R2 154. d1Q, S2 Concept Check Determine what signs on values of x and y would make each statement true. Assume that x and y are not 0. 155. xy 70 156. x2y 70 157. x y 60 158. y2 x 60 159. x3 y 70 160. - x y 70 Solve each problem. 161. Golf Scores Patrick Reed won the 2018 Masters Golf Tournament with a total score that was 15 under par, and Zach Johnson won the 2007 tournament with a total score that was 1 above par. Using -15 to represent 15 below par and +1 to represent 1 over par, find the difference between these scores (in either order) and take the absolute value of this difference. What does this final number represent? (Data from www.pgatour.com) 162. Total Football Yardage As of 2018, Emmitt Smith of the Dallas Cowboys was the NFL career leader for rushing. During his NFL career, he gained 18,355 yd rushing, 3224 yd receiving, and -15yd returning fumbles. Find his total yardage (called aIl-purpose yards). Is this the same as the sum of the absolute values of the three categories? Explain. (Data from www.pro-football-reference.com) (Modeling) Blood Alcohol Concentration The blood alcohol concentration (BAC) of a person who has been drinking is approximated by the following formula. BAC = number of oz * %alcohol * 0.075 , body wt in lb - hr of drinking * 0.015 (Data from Lawlor, J., Auto Math Handbook: Mathematical Calculations, Theory, and Formulas for Automotive Enthusiasts, HP Books.) 163. Suppose a policeman stops a 190-lb man who, in 2 hr, has ingested four 12-oz beers (48 oz), each having a 3.2% alcohol content. Calculate the man’s BAC to the nearest thousandth. Follow the order of operations.
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