Section 2.7 Linear Inequalities in One Variable 181 a quiz average of 65, and a test average of 89, what score does he need on his final exam to have at least an 80 for his final grade? 126. Sue’s final grade in her math class is based on a weighted average. Homework counts as 15%, quizzes count as 10%, tests count as 55%, and the final exam counts as 20%. If she has a homework average of 91, a quiz average of 42, and a test average of 82, what score does she need on her final exam to have at least an 80 for her final grade? 127. The cost to rent a banquet facility for a wedding reception is $1050 plus $36 per person for the food. What is the number of attendees the couple can have at the reception if they have at most $9400 budgeted for the reception? 128. The cost to rent a banquet facility for a wedding reception is $1030 plus $25 per person for the food. What is the number of attendees the couple can have at the reception if they have at most $4900 budgeted for the reception? 129. The cost to rent a car for a week from Convenient Rental is $304 plus 30 cents per mile. How many miles can be driven if you have at most $960 to rent the car for a week? Round to the nearest whole number, if necessary. 130. The cost to rent a car for a week from Economy Rental is $257 plus 30 cents per mile. How many miles can be driven if you have at most $410 to rent the car for a week? Round to the nearest whole number, if necessary. You Be the Teacher! Correct each student’s errors, if any. 131. Solve the inequality: -2x + 5 < 11. Mike’s work: -2x + 5 < 11 -5 -5 - 2x < 6 -2x < -2 6 -2 x<-3 132. Solve the inequality -9 < 3 - 2x < 13. Edna’s work: -9 < 3 - 2x < 13 -12 < - 2x < 10 6 < x < -5 133. Solve the inequality: 3(2x - 5) + 9 > 2(3x + 1). Gabriel’s work: 3(2x - 5) + 9 > 2(3x + 1) 6x - 5 + 9 > 6x + 1 6x + 4 > 6x + 1 4 > 1 The solution is . 134. Solve the in equality: 5(x - 1) + 2x < 7(x + 3) - 10. Kristen’s work: 5(x - 1) + 2x < 7(x + 3) - 10 5x - 1 + 2x < 7x + 3 - 10 7x - 1 < 7x - 7 -1 < - 7 The solution is ∅. Calculate It! Solve each inequality. Then use a graphing calculator to check the solution. 135. 8x + 20 < 2x - 15 + x 136. 2(x + 10) - 5 ≥ 4x + 18 137. 5 6 x - x < 8 - 3 2 x 138. -3.5(-1.6x + 2.4) ≥ 0.8(-2.1x - 41.44) GROUP ACTIVITY �������������������������������������������������������������������������������� Group Project for Chapter 2 1. The number of U.S. wireless subscriber connections, w, in millions is approximately 19.35 more than 17.83 times the number of years after 1995. If x is the number of years after 1995, write an equation that approximates the number of wireless subscriber connections. 2. Use the equation in Step 1 to determine the number of wireless subscriber connections for the given years. Round to the nearest tenth. Year Years After 1995, x Number of Connections, w 1995 2000 2005 2010
hendricks_beginning_algebra_1e_ch1_3
To see the actual publication please follow the link above