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(2) 18 – 29.. 32. C 33. E 34. A 35. H 36. G 37. I 38. J. 30. B. 39. D. 31. F. 40. K Section 9.1. BJU Press. Unauthorized reproduction prohibited..
(3) 41. L 42. Ordered pairs will vary. All ordered pairs located on the y–axis have an x-coordinate of 0 and thus have the form (0, y). 43. Ordered pairs will vary. All ordered pairs located on the x-axis have a y-coordinate of 0 and thus have the form (x, 0). 44. $1.11. 45. C = 0.39 + 0.24(w – 1), where w is the weight rounded up to the nearest integer 46. C = a + b(w – 1), where w is the weight rounded up to the nearest integer 47. C = $0.20 48. Answer will vary based on current rates. Use the formula from exercise 46.. Section 9.1 BJU Press. Unauthorized reproduction prohibited..
(4) 49. x =. 22 9. 50. x =. 1 42. 51. y =. 23 − 3. 52. z = 7.1. 54. 33 · 5 55. 24 · 3 56. 2 · 32 · 7 57. 52 · 7 58. 34 · 11. 53. d = –12.1. Section 9.1 BJU Press. Unauthorized reproduction prohibited..
(5) 9.2 Relations. 1. D = {–6, –2, 1, 5}; R = {–3, 5, 6} 2. D = {–6, 0, 4}; R = {–3, 2, 6, 7} 3. D = {0, 1, 3, 5}; R = {–7, 0, 5} 4. D = {–2, 3, 8, 9}; R = {5, 17} BJU Press. Unauthorized reproduction prohibited.. 5. D = {2, 3, 18, 20}; R = {6} 6. D = {–1, 1}; R = {–9, –6, 5, 8} 7. D: –4 ≤ x ≤ 3; R: –2 ≤ y ≤ 2 8. D: –1 ≤ x ≤ 2; R: –2 ≤ y ≤ 5.
(6) 9. D:–4 ≤ x ≤ –1; R: –4 ≤ y ≤ 2 10. {(–3, 2), (0, 3), (3, 4),. 13. {(–3, 2), (1, 2), (7, 2)} 14. {(4, –5), (4, 0), (4, 6)} 15. {(–1, 2), (–1, 5), (1, 5),. (4, 2)} 11. {(–4, –2), (0, 2), (1, 6),. (1, 7)} 16.. (4, 8)} 12. {(–5, 2), (–3, 2), (2, 4), (4, 4)} Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(7) 17.. 20.. 18. 21. 19.. Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(8) 22. {(–3, –1), (–2, 0), (1, 3)} 23. {(–2, –7), (4, –1), (6, 1), (8, 3)} 24. {(–3, 9), (0, 0), (3, –9), (6, –18)}. 26. {(–6, –4), (0, 0), (3, 2), (9, 6)} 27. {(–4, –11), (–2, –7), (3, 3), (6, 9)} 28. {(–2, –4), (0, 0), (2, 4)}. 25. {(4, 2), (6, 3), (8, 4), (10, 5)}. Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(9) 29. {(–1, –3), (3, 1), (5, 3)}. 30. {(–2, 5), (1, 2), (3, 0)}. 32. {(–3, –5), (–1, –1), (1, 3)}. 33. {(–4, –4.5), (0, –0.5), (4, 3.5)}. 31. {(–2, 3), (0, 0), (2, –3)}. Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(10) 34. D = {–4, –2, 0, 3, 5}; R = {–4, –2, 0, 3, 5};. 37. $63.82 38. $2.20/day. y=x 39. C(x) = 0.0715(x – 375) 35. D = {1, 2, 3, 4};. + 34. R = {–16, –12, –8, –4}; y = –4x 36. D = {–9, –6, –3, 0}; R = {–3, –2, –1, 0};. 40. 0.875 41. 0.04 42. –0.18. 1 3. y= x Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(11) 43. 0.4. 47. 400. 44. 0.65. 48. 22. 45. 16.56. 49. 80%. 46. 20%. Section 9.2 BJU Press. Unauthorized reproduction prohibited..
(12) 9.3 Functions. 1. yes. 10. yes. 2. yes. 11. yes. 3. yes. 12. yes. 4. no. 13. no. 5. yes. 14. yes. 6. no. 15. yes. 7. yes. 16. no. 8. no. 17. yes. 9. no. 18. no. BJU Press. Unauthorized reproduction prohibited..
(13) 19. 17. 28. –2. 20. 8. 29. –1. 21. 2. 30. 1. 22. –10. 31. yes. 23. –28 24. –34 25. –6 26. –4 27. –3 Section 9.3 BJU Press. Unauthorized reproduction prohibited..
(14) 32. yes. 34. no. 33. no. 35. yes. Section 9.3 BJU Press. Unauthorized reproduction prohibited..
(15) 36. no. 42. R =. 25 15 − , 5, 2 2 . 43. 5 44. –4 45. –7 37. R = {1, 11, 17}. 46. –6. 38. R = {–6, –3, 2}. 47. Yes, no two ordered pairs have the same first element.. 39. R =. 1 3 9 , , 4 2 4. 40. R= {–19, –7, 13} 41. R = {–20, 10, 28}. 48. Answers will vary; vertical line.. Section 9.3 BJU Press. Unauthorized reproduction prohibited..
(16) 49. rational. 54. 150%. 50. irrational. 55. 600%. 51. natural. 56. 32%. 52. integer. 57. 14%. 53. rational. 58. 9%. Section 9.3 BJU Press. Unauthorized reproduction prohibited..
(17) Problem Solving 9—Make a Table. 1. 5 hr.. 2. 5 hr. Miles Traveled. Hours Car 1 0 1 2. 35 90 145. Distance Between Cars. 1. 125. 2. 250. 3. 375. 4. 500. 5. 625. Car 2 0 62 124. 3. 200. 186. 4. 255. 248. 5. 310. 310. BJU Press. Unauthorized reproduction prohibited.. Hours.
(18) 3. 6 possibilities 2. 3. 4. 234. 324. 423. 243. 342. 432. 4. 12 possibilities B. B. B. B. C. C. C. C. D. D. D. D. C. C. D. D. B. B. D. D. B. B. C. C. D. A. C. A. D. A. B. A. C. A. A. B. A. D. A. C. A. D. A. B. A. C. B. A. Problem Solving 9 BJU Press. Unauthorized reproduction prohibited..
(19) 5. 10 different totals: 3, 5, 6, 7, 10, 11, 12, 13, 14, 15 Numbers Chosen. Sum. 0, 1, 2. 3. 0, 1, 4. 5. 0, 1, 9. 10. 0, 2, 4. 6. 0, 2, 9. 11. 0, 4, 9. 13. 1, 2, 4. 7. 1, 2, 9. 12. 1, 4, 9. 14. 2, 4, 9. 15. Problem Solving 9 BJU Press. Unauthorized reproduction prohibited..
(20) 6. 12 possibilities A. A. B. B. B. B. C. C. C. C. D. D. B. C. A. A. D. D. A. A. D. D. B. C. D. D. C. D. A. B. B. D. A. B. A. A. C. B. D. C. C. A. D. B. B. A. C. B. Problem Solving 9 BJU Press. Unauthorized reproduction prohibited..
(21) 7. 10 ways Quarters Dimes Nickels 2 1. 2. 1. 1. 1. 3. 1. 5 5 4. 2. 3. 4. 2. 6. 1. 8 10. BJU Press. Unauthorized reproduction prohibited.. 8. 48 + 54 = 102 miles closer per hour Hr.. Distance Between Cars. 1. 357. 2. 255. 3. 153. 4. 51. 459 mi.. 1 hr. 102 mi.. = 4.5 hr. Problem Solving 9.
(22) 9.4 Graphing Linear Functions. 1. yes. 7. no. 2. no. 8. yes. 3. yes. 9. yes. 4. yes. 10. no. 5. no. 11. yes. 6. yes. 12. yes. BJU Press. Unauthorized reproduction prohibited..
(23) 14.. 13.. 15.. 16.. x f(x). x f(x). x. f(x). x. f(x). –2. 6. –2 11. –2 –12. –2. 7. –1. 7. –1. 9. –1. –9. –1. 3. 0. 8. 0. 7. 0. –6. 0. –1. 1. 9. 1. 5. 1. –3. 1. –5. 2. 10. 2. 3. 2. 0. 2. –9. Section 9.4 BJU Press. Unauthorized reproduction prohibited..
(24) Ordered pairs for problems #17 – 32 will vary. 17.. 20. 22.. 18. 21. 19.. 23.. Section 9.4 BJU Press. Unauthorized reproduction prohibited..
(25) 24.. 27.. 30.. 28. 25.. 31.. 29. 26.. 32.. Section 9.4 BJU Press. Unauthorized reproduction prohibited..
(26) 33. They all pass through the origin. None of the equations have a constant term. Conjecture: The graph of an equation in the form y = mx, where m is a number, passes through the origin. Test equations will vary. 34. –1, 4, 8; Conjecture: the y-coordinate of the point where the line crosses the y-axis is the same as the number b in the equation of form y = mx + b. Test equations will vary.. Section 9.4 BJU Press. Unauthorized reproduction prohibited..
(27) 35. $33.25. 42. 1.568 × 10–9. 36. $60.00. 43. 9.996 × 109. 37. C(x) = 1.25x + 10.75. 44. $150. 38. C(x) = x + 17. 45. 9% increase. 39. 9.1 × 106. 46. 70 students. 40. 7.1 × 10–5. 47. $80,600. 41. 4.8 × 108. 48. 8%. Section 9.4 BJU Press. Unauthorized reproduction prohibited..
(28) 9.5 Slope. 1. m = 2 2. m = 4 3. m = 4. m =. 1 – 2 2 3. 5. m = –3. 9. m =. 4 7. 10. m = −. 7 4. 11. m = −. 1 4. 12. undefined 13. m = 2. 6. m = 1 7. m = 0 8. m = –2 BJU Press. Unauthorized reproduction prohibited.. 14. m = −. 1 2.
(29) 15. m = −. 14 5. 22. m = −. 16. m = −. 3 2. 23. m =. 17. m = −. 10 7. 24. m = 0. 18. undefined. 21. m =. 1 4. 25. yes 26. no. 19. m = 1 20. m = −. 1 9. 11 8. 9 2. 27. yes 28. yes 29. no 30. no Section 9.5. BJU Press. Unauthorized reproduction prohibited..
(30) 31. The three points are on the same line since the slopes m1, between (1, 5) and (3, 11), and m2, between (3, 11) & (4, 14), both equal three.. 37. halfway through 2009. 32. yes. 40. 450%. 33. yes. 41. 20%. 34. no. 42. 7%. 35. P(x) = 10,300x + 799,065. 43. 7%. 36. 1,005,065. 44. 11%. 38. P(x) = –5,300x + 2,005,552 39. expected: 1,740,552; actual: 67,792 more.. Section 9.5 BJU Press. Unauthorized reproduction prohibited..
(31) 45. $3,004.20 46. $7.60 47. $240,000 48. $1,066.50 49. $25,312.50. Section 9.5 BJU Press. Unauthorized reproduction prohibited..
(32) 9.6 Slope–Intercept Form. 1. (12, 0), (0, 8). 1 2. 9. m = ; (0, 5). 2. (10, 0), (0, –6) 3. (12, 0), (0, –21) 4. (8, 0), (0, 8) 5. (5, 0), none. 3 2. 10. m = − ; (0, 8) 11. y = 7x – 14; m = 7; (0, –14) 3 x 8. – 2; m =. 3 ; 8. (0, –2). 6. none, (0, 22). 12. y =. 7. m = 3; (0, –5). 13. y = − x; m = − ; (0, 0). 8. m = 2; (0, 4). 1 8. 7 2. 1 8. 7 2. 14. y = x – 7; m = ; (0, –7) BJU Press. Unauthorized reproduction prohibited..
(33) 15. (–8, 0), (0, 2). 16. (–2, 0), (0, –4). 18. (–3, 0), (0, –4). 19.. 17. (6, 0), (0, –3) 20.. Section 9.6 BJU Press. Unauthorized reproduction prohibited..
(34) 21.. 24.. 22.. 25. y = – x + 2. 2 5. 23. 26. y =. 1 x 3. –3. Section 9.6 BJU Press. Unauthorized reproduction prohibited..
(35) 1 4. 1 x 5. 27. y = – x – 2. 30. y =. 28. y = –2x + 5. 31. y = 2x. –3. 2 3. 29. y = – x + 2. Section 9.6 BJU Press. Unauthorized reproduction prohibited..
(36) 32. y = 4x + 1. 1 3. 34. y =. 5 x 2. 35. y =. 5 – x 2. 33. y = – x + 2. –5. Section 9.6 BJU Press. Unauthorized reproduction prohibited..
(37) 36. y = 4x + 12 37. y = –9 38. x = 5 39. y = –2x + 6 40. $25.73 41. y = 2.85x + 1.5 42. $72.29 43.. −109 35. 44.. 7 18. 45. 10. 13 24. 46. 4.14 47. –4.5 48. –85.52 49. 186 km 50. 310 km 51. 4.5 cm 52. 14.5 cm. Section 9.6 BJU Press. Unauthorized reproduction prohibited..
(38) 9.7 Direct Variations. 1. yes; k = 2.7. 10. yes; k = 2; y = 2x. 2. no 3. yes; k =. 9. yes; k = 9; y = 9x. 5 2. 4. yes; k = 8. 11. no 12. yes; k = 4; y = 4x 13. no. 5. yes; k = π 6. yes; k =. π 2. 14. yes; k = 0.5; y = 0.5x 15. yes. 7. no. 16. no. 8. yes; k = 6; y = 6x. 17. yes. BJU Press. Unauthorized reproduction prohibited..
(39) 18. no. 24. k =. 19. k = 4.5 or 20. k =. 9 2. 1 4. 21. k = 5 22. k = 40 23. k = 30. 1 90. 25. y = 48 26. y = 6 27. y = 12 28. y = 100 29. y = 4.8 30. y = 17.6. Section 9.7 BJU Press. Unauthorized reproduction prohibited..
(40) 31.. 32.. 33.. 35. k = 2 x. y. 3. 6. 5. 10. 9. 18. 12 24. 34.. Section 9.7 BJU Press. Unauthorized reproduction prohibited..
(41) 36. k = 2.5 x. 37. k = 6 y. x. 38. k =. 1 4. y. 10. 25. 2 12. –4. –10. 4 24. 3. 7.5. 7. 17.5. 6 36 8 48. x. y. 12. 3. –4 –1 8. 2. 16. 4. Section 9.7 BJU Press. Unauthorized reproduction prohibited..
(42) 39.. 11 19. 40.. 5 7. 41.. 35 9. 42.. 25 49. 43.. 2 5. 44. $101.25; $33.75 45. $14.70; $27.30 46. $125; $125 47. $367.50; $2,082.50 48. $6,900; $16,100. Section 9.7 BJU Press. Unauthorized reproduction prohibited..
(43) 9.8 Graphing Linear Inequalities in the Plane. 1. solid. 10. yes. 2. dashed. 11. no. 3. dashed. 12. yes. 4. solid. 13. no. 5. solid. 14. yes. 6. dashed. 15. yes. 7. dashed. 16. no. 8. solid. 17. no. 9. yes. 18. no. BJU Press. Unauthorized reproduction prohibited..
(44) 19. yes. 23.. 20.. 21.. 24.. 22.. 25.. Section 9.8 BJU Press. Unauthorized reproduction prohibited..
(45) 26.. 30.. 27.. 31.. 32. 28.. 29. Section 9.8 BJU Press. Unauthorized reproduction prohibited..
(46) 33.. 36.. 34. 37.. 35.. Section 9.8 BJU Press. Unauthorized reproduction prohibited..
(47) 38. ERA =. 9E I. 39. 1.74 40. 1.56 41. 1.74 42. $11.25. 45. 11% 46. 6% 47. 9% 48. x = 4 49. x =. 37 14. 43. $1.25. 50. y = –46. 44. $3.75. 51. x = 12. Section 9.8 BJU Press. Unauthorized reproduction prohibited..
(48) Math and Scripture 9. 1. different abilities. 6. $112,500. 2. 100%. 7. $2,500 per year. 3. a little more than 7 years. 8. $48 per week. 4. 32%. 9. $966,375. 5. $225,000. BJU Press. Unauthorized reproduction prohibited.. 10. $57,982.50.
(49) Chapter 9 Review. 1–4.. 8. {(–2, 23), (0, 7), (1, –1), (4, –25)} 9.. 5. D = {0, 4, 5, 9}; R = {–3, 2, 7, 8} 6. D = {–4, –3, 0, 1, 5}; R = {2, 3, 8} 7. {(–2, –9), (0, 1), (1, 6), (4, 21)} BJU Press. Unauthorized reproduction prohibited.. 10..
(50) 11. no. 20. f (3) = 8. 12. yes. 21. R = {–40, 9, 30}. 13. yes. 22. R = {11, –3, –9}. 14. yes. 23. no. 15. no. 24. yes. 16. yes. 25. Ordered pairs will vary.. 17. f (5) = 14 18. f (0) = –1 19. f (–2) = –7 Chapter 9 Review BJU Press. Unauthorized reproduction prohibited..
(51) 26. Ordered pairs will vary.. 30. –. 7 2. 31. (3, 0), (0, –9) 32.. (0, 10). 33. (–2, 0), (0, –4). 27.. 5 4. 28.. 6 11. 29. –. 5 , 0 , 4. 34. (6, 0),. 6 0, 5. 6 5. Chapter 9 Review BJU Press. Unauthorized reproduction prohibited..
(52) 35. y = –4x – 12; m = –4; (0, –12). 1 5 1 m = ;(0, 5. 36. y = x – 4;. 5 2 5 m = ;(0, 2. 37. y = x – 6; –6). 38. y = 3x – 4; m = 3;(0, –4). –4). Chapter 9 Review BJU Press. Unauthorized reproduction prohibited..
(53) 39. yes; k = 2; y = 2x. 46.. 40. no 41. k = 2. 47.. 42. k = 18.75 43. k = 5 44. k =. 1 15. 45.. 48.. 49.. Chapter 9 Review BJU Press. Unauthorized reproduction prohibited..
(54) 50. Each person receives blessings and gifts from God. These include financial blessings, physical abilities, spiritual gifts, and even mathematical abilities and understanding. We must use, develop, care for, and increase these gifts, as a faithful steward would his master’s goods, in order to be faithful to the God Who gave them. Chapter 9 Review BJU Press. Unauthorized reproduction prohibited..
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