Equations and Problem Solving ALGEBRA 1 LESSON 2-5 pages 107–110  Exercises 1. a. Let w = width. b. = w + 3 c. 2w + 2(w + 3) = 30; 6 d. 9 in. 2. 2 in.; 10 in. 3. 9 cm; 18 cm 4. 5 yd; 13 yd 5. C 6. a. Let n = the first integer. b. 2 c. n + 2 d. n + n + 2 = 118; 58, 60 7. a. Let n = the first integer. b. 2 c. n + 2 d. n + n + 2 = 56; 27, 29 8. 304, 305, 306 9. –148, –150 10. a. Let t = time for the moving van. b. t – c. d. 35t = 50(t – ); t = 2 , 2 – = 1 h 11. 1 h 3 4 3 4 1 2 1 2 3 4 3 4 17 30 2-5

Equations and Problem Solving ALGEBRA 1 LESSON 2-5 12. a. x; 2 – x b. 22x = 32(2 – x), 1 h 13. a. x; 3 – x b. 320x = 280(3 – x), 1 h 14. a. x; x – 20 b. 4x + 4(x – 20) = 250, 41 mi/h; 21 mi/h 15. 15mi/h; 20mi/h 16. a. 61 b. They are all multiples of three. 17. 14 cm 18. x + x + 2 + x + 4 + x + 6 = 308; 74, 76, 78, 80 1 4 19. –31, –29, –27 20. a. 1.5 + 2x + x b. 15.5 ft c. 3x + 1.5 = 15.5; 10 ft or 10 ft 10 in. 21. 12:30 p.m. 22. a. 45 minutes b. 3:45 23. 2:30 p.m. 24. 175 mi/h; 375 mi/h 25. 1986, 1987, 1988 26. first boat: 20 mi/h; second boat: 30 mi/h 27. truck: 8 h; train: 6 h 28. 6 6-V; 4 12-V 29. Answers may vary. Sample: Define a variable to represent the first integer. Use this variable to write expressions for the other integers. Write an equation that describes how the integers are related. Solve this equation to find the integers. 1 4 1 3 2 5 5 6 1 4 1 4 2-5

Equations and Problem Solving ALGEBRA 1 LESSON 2-5 42. 0.3 43. – 44. no solution 45. –1 46. 4 h 47. –12 48. –10 49. 54 50. 3 30. Answers may vary. Sample: Jeff and Anne both left school for the city at the same time. Jeff drove 35 mi/h and Anne drove 20 mi/h. Jeff arrived 1 h before Anne. How long did each drive? 31. a. n + n + 1 + n + 2 = 126; 41, 42, 43 b. Yes; if n is the middle integer, n – 1 is the previous integer and n + 1 is the next integer. The three integers would be consecutive. 32. x + 2x – 65 + x – 10 = 165; 60; 55 cm, 60 cm, 50 cm 33. a. h b. 10:15 A.M. 34. –9, –7, –5, –3, –1 35. A 36. H 37. B 38. G 39. A 40. –2 41. 0 1 3 5 6 5 7 1 2 2-5