Chapters 1–3 Cumulative Review Exercises 289 32. Solve each inequality. Graph the solution set and write the solution set in interval notation and in set-builder notation. (Section 2.7, Objectives 1– 4 ) a. 0.3a - 1.2 ≥ -3.6 b. -7 < 2b - 15 < 19 c. 2x + (x - 9) ≥ 8x +16 33. Determine algebraically if the given ordered pair is a solution of the equation. (Section 3.1, Objective 1) a. (2, -5); 2x - y = 15 b. (3, -1); y = -x2 - 3x + 1 c. (1, 5); y = u4x + 1u 34. Plot each ordered pair on the Cartesian coordinate system and state the quadrant or the axis where each point is located. (Section 3.1, Objective 2) a. (2, -7) b. (-3, -9) c. (-6, 0) d. (5, -3) e. (0, 5) 35. Graph each equation using a table of solutions. (Section 3.1, Objective 3) a. y = 2x - 6 b. y = 3 - x2 c. y = uxu + 3 d. y = 4 - uxu 36. Use the given graph to complete each ordered pair that is a solution. (Section 3.1, Objective 4 ) 2 2 4 4 –2 –6 –4 –2 –4 x y a. ( , 0) b. (0, ) c. (-1, ) 37. The graph shows the average annual salary of full-time teachers in public elementary and secondary schools, 2000 to 2008. (Section 3.1, Objective 5 ) (Source: http:// nces.ed.gov) 60,000 45,000 30,000 15,000 Average Annual Salary of Teachers in Public Elementary and Secondary Schools (2002–2008) 48,804 50,758 52,308 53,910 47,516 46,542 45,686 44,655 43,378 0 1 2 3 4 5 6 7 8 9 a. Write an ordered pair for each point labeled on the graph. b. Between what consecutive years did the average annual salary increase most? By how much? 23. The formula A = P(1 + r)t is used to calculate the amount of money in an account at the end of t years if $P is invested at an annual interest rate, r. (Section 2.5, Objective 1) a. Find the value of A if $960 is invested for 3 yr at 1.4% annual interest. b. Find the value of P if $2,930.88 is expected to be accumulated at the end of 2 yr at 1.6% annual interest. 24. The revenue R, unit price p, and sale level x of a product are related by the formula R = xp. (Section 2.5, Objective 1) a. Find R if p = $86.50 and x = 40. b. Find p if R = $3212.50 and x = 125. 25. Solve each formula for the specified variable. (Section 2.5, Objective 3) a. V = lwh for w b. C = 8l + 3w for w c. 5x - 9y = 18 for y d. 0.04x + 0.03y = 7.2 for x 26. Find the measure of each unknown angle. (Section 2.5, Objective 5) a. Find the measure of an angle whose complement is 40° less than the measure of the angle. b. The supplement of an angle is 12° more than three times its complement. Find the measure of the angle. 27. Find the measure of each angle labeled in the figure. (Section 2.5, Objectives 4 and 5 ) a. x 11 ° 3x – 31 ° b. 5x – 12 ° 2x 48 ° 28. In triangle ABC, the measure of angle B is 36° less than the measure of angle A. The measure of angle C is 21° more than the measure of angle A. Find the measure of each angle in the triangle. (Section 2.5, Objective 5 ) Write an equation that represents each situation, solve the equation, and write the answer in complete sentences. (Section 2.6, Objectives 1–5 ) 29. A 46-in. LED-LCD HDTV is on sale for $1202.50. This is 35% off the original price. What is the original selling price of the TV? 30. A suit is on sale for $138.75. If this price is 25% off the original price, what is the original price of the suit? 31. Sue invested $3000 in two accounts. She invested $1800 in a mutual fund that pays 2.1% annual interest and the remaining account in a money market fund that pays 1.2% annual interest. How much interest did she earn from the two accounts in 1 yr?
hendricks_beginning_intermediate_algebra_1e_ch1_3
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