14 Chapter 1 Real Numbers and Algebraic Expressions The following table shows the median pay and job growth for the top 15 Best Jobs in America according to CNNMoney.com’s Money Magazine Best Jobs List in 2010. Use the information for Exercises 111–118. (Source: http:// money.cnn.com/magazines/moneymag/bestjobs/2010/full_list/index.html) Rank Job Title Median Pay Job Growth 10-yr Forecast 1 Software Architect $119,000 34% 2 Physician Assistant $ 92,000 39% 3 Management Consultant $117,000 24% 4 Physical Therapist $ 75,000 30% 5 Environmental Engineer $ 81,000 31% 6 Civil Engineer $ 80,000 24% 7 Database Administrator $ 68,000 20% 8 Sales Director $142,000 15% 9 Certifi ed Public Accountant $ 56,000 22% 10 Biomedical Engineer $ 76,000 72% 11 Actuary $133,000 21% 12 Dentist $142,000 15% 13 Nurse Anesthetist $156,000 13% 14 Risk Management Manager $107,000 24% 15 Product Management Director $148,000 12% Let A = 5xux is a job with a median pay less than $100,0006 B = 5xux is a job with a median pay greater than $140,0006 C = 5xux is a job with a job growth greater than 30%6 D = 5xux is a job with a job growth less than 15%6 111. State the set B using the roster method. 112. State the set C using the roster method. 113. State the set A C using the roster method. 114. State the set B D using the roster method. 115. State the set A D using the roster method. 116. State the set B C using the roster method. 117. Is physician assistant A C? 118. Is actuary B D? Classify each number as a rational number or irrational number. 119. 17 120. 120 121. 0.6 122. 2.3 123. 6 11 124. 9 14 125. 6 π 126. π 3 Find the opposite of each number. Assume m is a positive real number. 127. −50.345 128. −71.43 129. 4 5 130. 3 7 131. - 1 8 132. - 5 6 133. 7m 134. 21m Simplify each expression. Assume m is a positive real number. 135. -` 10 17 ` 136. -` 2 5 ` 137. -u-4πu 138. -u-3πu 139. `- 1 4 ` 140. `- 8 15 ` 141. -u-mu 142. P m 2 P Graph each number on a real number line. 143. 5 1 2 144. 10 1 4 145. 15.3 146. 12.2 147. 149 148. 181 You Be the Teacher! Answer each student’s question. 149. Jalen: If the variable x represents a negative number, why does uxu =-x? 150. Eddie: Is every integer a rational number? Why or why not? 151. Wally: Is every rational number an integer? Why or why not? 152. Theodore: Is there an easy way to graph large numbers on the real number line? Calculate It! Use a graphing calculator to determine each value. Approximate to two decimal places, if needed. 153. -135 154. -124 155. 7π 156. 26π 157. -A-114 B 158. -A-119 B 159. u-29u 160. -u-34u
hendricks_intermediate_algebra_1e_ch1_3
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