144 Chapter 2 Linear Equations and Inequalities in One Variable c. –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 d. –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 6. The solution for 4x + 1 > 9x - 4 in interval notation is a. (-∞, 1) b. (-∞, -1) c. (1, ∞) d. (-1, ∞) 7. Use the figure to determine the measure of the smaller angle. a. 5.6° (12x + 6)° (2x + 6)° b. 12° c. 30° d. 38° 8. The interval that represents (2, ∞) ∪ (4, ∞) is a. Ø b. (2, 4) c. (4, ∞) d. (2, ∞) 9. The solution set of u3x - 5u - 4=-1 is a. e 2 3 , 8 3 f b. e 8 3 , 10 3 f c. e 8 3 f d. 10. The solution set for ux + 3u >-2 is a. (-5, ∞) b. c. (-∞, ∞) d. (-5, -1) Solve each equation. Write the answer in a solution set. 11. 5 3 (2y + 3) - 1 6 y = 1 2 (y - 4) 12. 0.05x + 0.10(30 - x) = 2.4 13. u7a + 4u - 5 = 8 14. ` 1 2 b - 2 3 ` + 5 = 1 15. u3 - 4xu = ` 1 5 x + 2 ` Solve each inequality. Graph the solution set and write the solution set in interval and set-builder notation. 16. 6 - 2(3x - 1) > 4(x + 2) - 10 17. 9 8 m - m + 2 6 ≥ m 2 18. -0.25x + 4 > -1 and 1 2 x - 2 3 < x 19. 7(4 - x) + 3<-2(x + 5) or 6(x + 1) -4(2x - 3) > 7x 20. |8x + 3| ≤ 5 21. |3x - 2| -1 ≥ 6 Solve each problem by solving an appropriate equation or inequality. Use complete sentences to state the answer. 22. A cashier has a total of 28 bills made up of tens and twenties. The total value of the money is $400. How many of each bill does she have? 23. The width of a rectangle is five ft more than four times the length of the rectangle. If the perimeter is 210 ft, find the length and width of the rectangle. 24. A resting metabolic rate (RMR) is the rate at which a person burns energy or calories at rest. It is given by the formula RMR = 4.541w + 15.875h - 4.92a + 166g -161, where w is weight in pounds, h is height in inches, a is age in years, and g is gender (g = 0 for females and g = 1 for males). Find Jan’s RMR if she weighs 145 lb, is 65 in. tall, and is 35 yr old. 25. The Smartphone Company sells its smartphones for $599.00 each. So, the company’s revenue is represented by R = 599x, where x is the number of phones sold. The company’s monthly cost of producing x phones is C = 194.05x + 2500. The company has a profit when its revenue is greater than its cost. How many phones does the company need to sell in one month to make a profit? 26. Juan’s final grade in his math class is based on a weighted average as follows. Test average 50% Homework 10% Quizzes 15% Final exam 25% If Juan has a 79 test average, 95 homework average, and 83 quiz average, what scores can he make on his final exam to have a final grade of a C (70 to 79)? 27. A utility company installs a power line 100 ft from the entrance of a subdivision. The utility company has an easement that is 40 ft on either side of the power line. Write an absolute value equation that will determine where the easement begins and ends, where x represents the location of the easement, and solve it. 28. On a portion of an interstate highway, the speed limit is 65 mph. The highway patrol officers stop vehicles which travel at a speed that is more than 15 mph from the speed limit. Write an absolute value inequality that models this situation, where s is the speed of the vehicle, and solve the inequality.
hendricks_intermediate_algebra_1e_ch1_3
To see the actual publication please follow the link above