By McGraw-Hill Education
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3(15x - 9y) + 5(4y - x) 39. 2(10m - 7a) + 3(8a - 3m) 40. 8(r + 7t) - 4(13t + 5r) 41. 4(14c - 10d) - 6(d + 4c) 42. 5n) 43. 6p - q) WORK For Exercises 44 and 45, use the information below and in the graph. Andrea works in a restaurant and is paid every two weeks. 44. 50 an hour, illustrate the Distributive Property by writing two expressions representing Andrea’s pay last week. 45. Find the mean or average number of hours Andrea worked each day, to the nearest tenth of an hour. Then use this average to predict her pay for a two-week pay period.
Solve -2 3a - 2 = 6. 3B. Solve 4b + 1 + 8 = 0. It is important to check your answers when solving absolute value equations. Even if the correct procedure for solving the equation is used, the answers may not be actual solutions of the original equation. 28 Chapter 1 Equations and Inequalities EXAMPLE One Solution Solve x + 6 = 3x - 2. Check your solutions. Case 1 a=b x + 6 = 3x - 2 6 = 2x - 2 8 = 2x 4=x or a = -b x + 6 = -(3x - 2) x + 6 = -3x + 2 4x + 6 = 2 4x = -4 x = -1 Case 2 There appear to be two solutions, 4 and -1.
_ 10 1 4 = 3y + _ 20. 4y - _ ab 5 1 2 21. Solve s = _ gt for g. (Lesson 1-3) 2 7. 2 ohm. Use the formula I = _ . R+r (Lesson 1-1) 22. MULTIPLE CHOICE Karissa has $10 per month to spend text messaging on her cell phone. 10 for each additional message. How many text messages can Karissa afford to send each month? (Lesson 1-3) Name the sets of numbers to which each number belongs. (Lesson 1-2) 8. 5 9. √100 Name the property illustrated by each equation. (Lesson 1-2) A 50 C 150 B 100 D 151 23. GEOMETRY Use the information in the figure to find the value of x.