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(2) 13. 13 14. 5. 1 3. 15. 3. 2 3. 4 5. 16. 5.921 17. 8.72. 21. 75.98 22. –15.25 23. 8.16 24. –2.43 25. 2 26.. 17 1 20. 27.. 23 24. 28.. 9 40. 18. 8.148 19. 85.863 20. –181.17. 1 8. Section 6.1 BJU Press. Unauthorized reproduction prohibited..
(3) 29. 2. 1 12. 30. 11 31. 10 32. 7 33.. 35. −. 5 6. 36. 64 km/hr.. 11 20. 19 20. 7 1 12. 9 °F 10. hr.. 5 8. 37. 85.3 km/hr. 38. duck: 60 mi./hr., sparrow: 35 mi./hr., crow: 40 mi./hr. 39. 4.5 times as fast 7 8. 40. 6 min.. 34. 1 in. 41. 8. Section 6.1 BJU Press. Unauthorized reproduction prohibited..
(4) 42. 15. 47. $5.95 per dinner. 43. 18. 48. $2.68 per skein. 44. –1. 49. 6 pairs with $0.98 left over. 45. 8 46. $0.89 per muffin. 50. 11 hr.. Section 6.1 BJU Press. Unauthorized reproduction prohibited..
(5) 6.2 Multiplication. 1.. 4 21. 2. − 3. 4. 5. 6.. 8 27. 1 6 7 − 15 1 4 3 2. BJU Press. Unauthorized reproduction prohibited.. 7.. 29 16. 8. –7 9.. 28 15. 10.. 55 8. 11. 7 12.. 22 3. 13. 6.75.
(6) 14. –47.52. 23. 4,520. 15. 0.076. 24. 150.88. 16. 0.4128. 25.. 17. 7.536 18. 874.8. 9 64. 26. −. 1 10. 19. –0.0456. 27. 54. 20. 3.276. 28. 30. 21. 1.852. 29.. 125 729. 22. 5.7402 30. −. 64 343. Section 6.2 BJU Press. Unauthorized reproduction prohibited..
(7) 31. 0.09045. 40.. 5 6. 41.. 2 27. 42.. 1 225. 32. 0.003034 33. 1.488 34. –14.07 35. 3.78. 43. $3,600/yr.; 18% per year. 36. 13.425 37. 53.2896 38. –9.3 39.. 1 45. 5 8. 44. 88 in. 45.. 3 7 8. in.. 46. 150 Section 6.2. BJU Press. Unauthorized reproduction prohibited..
(8) 47. 315. 52. 0.1875. 48. 72. 53. −0.26. 49. 1,400. 54. –3.6. 50. 4,950. 55. 0.3125. 51. 0.81. Section 6.2 BJU Press. Unauthorized reproduction prohibited..
(9) 6.3 Division. 1.. 3 4. 8.. 22 9. 2.. 2 5. 9.. 39 7. 3. 1. 10.. 15 4. 11.. 8 9. 12.. 21 8. 4. –20 5. 6.. 3 5 4 3. 7. 3 BJU Press. Unauthorized reproduction prohibited.. 13. 5.9.
(10) 14. 4.32. 23. –0.74. 15. 0.96. 24. 23. 16. 1.25. 25.. 17. 0.64. 26. 4. 18. 1,270 19. –0.27 20. 34. 27.. 15 2. 28.. 9 20. 29.. 3 − 14. 21. 0.03 22. –5.3. 3 8. Section 6.3 BJU Press. Unauthorized reproduction prohibited..
(11) 30. 31.. 7 15 14 3. 66 32. 53. 33. 0.46. 34. –2.76 35. 2.93 36. 17.38. 38. 1.98 39. –6; 0; additive identity; 1 ; 6. 1; multiplicative. identity; two numbers whose sum is zero; two numbers whose product is one 40. Inverse Property of Multiplication and the Identity Property of Multiplication.. 37. 21.34 Section 6.3 BJU Press. Unauthorized reproduction prohibited..
(12) 41. $677.88; $696.00. 49. >. 42. 51 hr.. 50. <. 43. $16.40. 51. <. 44. 2025. 52. <. 45. 345. 53. >. 46. 14115 47. 1335 48. 102125. Section 6.3 BJU Press. Unauthorized reproduction prohibited..
(13) 6.4 Evaluating Algebraic Expressions. 1.. 2 7. 7.. 2.. 1 2. 8. 45. 3.. 2 3. 4. 6 5. 6.. 7 8 5 12. BJU Press. Unauthorized reproduction prohibited.. 15 14. 9.. 33 8. 10.. −1 24. 11. 0.0504 12. 0.5338 13. 6.5985.
(14) 14. 13.3348. 22. 2.3136. 15. 2.43. 23. 6.478. 16.. 3 7. 17. 3. 24. 2.226 25.. 35 72 37 108. 18.. 9 7. 26.. 19.. 21 17. 27. –3.699. 20.. 1 3. 21. 985.96. 28.. 5 36. 29.. −11 8. Section 6.4 BJU Press. Unauthorized reproduction prohibited..
(15) 30. −. 2 3. 31.. 49 48. 32.. 191 4. 33. 0.0096 34. 82.7 35. 43.7. 38. 18 points 39. at least 189 40. neither 41. composite 42. prime 43. composite 44. composite. 36. 2.15. 45.. 3 2. 37. –0.872. 46.. 6 7. Section 6.4 BJU Press. Unauthorized reproduction prohibited..
(16) 47. 2 48.. 5 22. 49.. 62 19. Section 6.4 BJU Press. Unauthorized reproduction prohibited..
(17) 6.5 Simplifying Algebraic Expressions 6 5. 7.. 23 z 3. 1 5. 8.. 114 a 5. 1. − x 2. − a 3. 4.. 11 x 15 17 − w 2 3 2. 5. − x 6.. 6 y 5. BJU Press. Unauthorized reproduction prohibited.. 9. x 10.. 12 a 55. 11. –8x2 + 2x 12. 425.21z + 62.5 2 3. 2 9. 13. – w + y.
(18) 14.. 1 y 3. 15.. 29 b 21. +. 2 15. –. 22.. 73 9. 16. x2 – 14. 24. 11b –. 18. –6.11w + 7.24y – 2.9 19. –1.98g –7.99h – 0.23 17 x 9. 21. 19a –. +. – 13x. 23. –3x3 +. 17. 1.5x + 9.4y. 20. −. 15 2 x 7. 39 y 5. 19 c 15. 25.. 67 a 21. 17 2 x 5. + 8x. 11 c 10. +. 8 b 21. 26. 1.1x2 – 16.9x + 25.8 27. –2.6a + 3b – 6.1c 28. –3x2 +. 11 x 5. –. 67 15. Section 6.5 BJU Press. Unauthorized reproduction prohibited..
(19) 29.. 21 2 r 5. + 30r – 19. 30. Distributive Property; Illustrations may vary; possible answer: 2 x 5. 1 5. + x=. 2 1 + x 5 5. 3 5. = x. 31. Yes; x has a denominator of 1 and. 4 x 5. =. 4 x ⋅ 5 1. =. 4x . 5. No; the variable changes the denominator and, therefore, the fraction’s value.. 32.. x 12. 33.. 3a 3 2b. –. 5x2 18 y 2. – 2a +. 35a 2 2b. 34. 21.021w3y + 28.9443wy2 35. –14.6x + 25.7y 36. cost = $35 + $0.32x 37. $40.76 38. $194.84 39. $140 Section 6.5. BJU Press. Unauthorized reproduction prohibited..
(20) 40. x = 8. 45. t = 125. 41. x = –69. 46. 100102. 42. x = 52. 47. 12. 43. s = 166. 48. 345. 44. h = –4. 49. 12428. Section 6.5 BJU Press. Unauthorized reproduction prohibited..
(21) 6.6 Solving Equations with Rational Numbers. 1. x =. 3 5. 7. x =. 2 9. 2. x =. 13 9. 8. x =. 6 5. 3. x =. 5 4. 9. x =. 2 3. 4. x =. 1 2. 10. a =. 5 21. 5. x =. 1 3. 11. b =. 20 3. 6. x =. 5 8. 12. c =. 2 15. BJU Press. Unauthorized reproduction prohibited..
(22) 13. a = 4.7. 22. t =. 6 7. 23. x =. 13 12. 24. s =. 8 21. 25. x =. 12 25. 26. y =. 9 2. 14. m = 47.8 15. z = 9.9 16. d = 72.1 17. k = 15.62 18. r = 3.08 19. y = 8.14 20. p = 10.02 21. w = 12.84. 27. c = 38.36 28. r = 9 Section 6.6. BJU Press. Unauthorized reproduction prohibited..
(23) 29. a = 4.5 30. n = –1.6 31. x = 11.2. 38. x =. 39. x = 0 40. 2.4n = 324; n = 135. 32. v = 13 33. z = 4.15 34. p = 2.8 35. x =. 28 – 5. 36. x = 4 37. x =. 347 30. 323 40. 41.. 12 x 7. 42. x =. 4 3. = ;x=. 7 9. 84 ; 59. Justifications will vary. 43. 156 44. 630 Section 6.6. BJU Press. Unauthorized reproduction prohibited..
(24) 45. 135. 49. 7 to 3. 46. 252. 50. 3 to 16. 47. 70. 51. 6 to 1. 48. 31 to 1. 52. 26 to 5. Section 6.6 BJU Press. Unauthorized reproduction prohibited..
(25) Problem Solving 6—Divide and Conquer. 1. $3,000 2. $38.50 3. 1 : 2 : 6 4. $35.76 5. 329 6. 6 bags 7. 98 books 8. $318. BJU Press. Unauthorized reproduction prohibited..
(26) 6.7 Using Algebra. 1.. 2 n 3. 1 4. 2. 0.45n = 36. 8.. 3. 5.82x = 104.76 4. 2. 1 12 2. + 2x = 5 8. 1 48 2. 1 8. 3 4. 5. m – 1 = 32 ; 33 in. 6. p –. 2 p 3. 3 4. 1 2. 7. x + 4 = 7 ; 3 hr.. = 46. = 25; 1 4. 75 min.=1 hr. BJU Press. Unauthorized reproduction prohibited.. 3 x 8. = 45; 120 min. = 2 hr.. 9. 2x + x= 386.16; Alice: $128.72; Mrs. Bai: $257.44 10. 4x = 501,052.40; $125,263.10 2 3. 1 5 2 6. 11. x + 1 = 2 ;. cup.
(27) 17. 3x = 4.5; 1.5 in.. 12. 0.03x = 156; about 5,200 students 13. x + x +. 3 1 4. 18.. 1 13 ; 4. =. 3 4 1 7 2. = 144; x = 180;. 36 students did not go. Monday: 5 hr.;. 19. x + 4x = 18; 3.6 and 14.4. Tuesday:. 20. x + 2.5x = 29.4; Mr. Bradley: $8.40/hr.; Mr. Johns: $21/hr.. hr.. 14. 0.25x = 3.75; 15 students 3 4. 15. 1 x = 14; $8 16.. 4 x 5. 3 2 4. +. 5 3 8. +x. 7 =7 ; 8. 21. 1 1 2. yd.. 1 3. =. 10 x. and. 1 5. =. 10 ; y. x = 30, y = 50; total: 90 points Section 6.7. BJU Press. Unauthorized reproduction prohibited..
(28) 22. 3.75 hr.. 30. x = 4. 2 3. 31. y = −. 105 26. 23. $862.50 24. BC machine: 37.5%; BH machine: 62.5%. 32. z = 45. 25. 6 26. 45 27. 12. 33. c =. 14 9. 34. x = –5. 1 3. 28. 75 29. 9. Section 6.7 BJU Press. Unauthorized reproduction prohibited..
(29) 6.8 Operations with Scientific Notation. 1. 1.14 × 109. 9. 2.8 × 10–5. 2. 1.7 × 10–7. 10. 3.61 × 106. 3. 1.93 × 106. 11. 1.116 × 107. 4. 1.411 × 10–4. 12. 1.7724 × 1012. 5. 1.159 × 109. 13. 4.608. 6. 1.68 × 10–4. 14. 7.1189 × 1017. 7. 1.062 × 10–7. 15. 3.2076 × 104. 8. 8.9 × 1019. 16. 1.5048 × 10–13. BJU Press. Unauthorized reproduction prohibited..
(30) 17. 1.5 × 10–4. 26. 2.1384 × 1012. 18. 2.3 × 102. 27. 9.6218 × 106. 19. 2.55 × 10–3. 28. 7.0933 × 10–5. 20. 6.1 × 10–16. 29. 6.8594 × 108. 21. 1.6 × 1010. 30. 7.575 × 10–7. 22. 4.4 × 10–13. 31. 1.4976 × 1016. 23. 5.361 × 106. 32. 1.614 × 10–11. 24. 8.216 × 10–3. 33. 1.22 × 1014. 25. 5.008 × 108. 34. 8.26 × 10–3 Section 6.8. BJU Press. Unauthorized reproduction prohibited..
(31) 35. 2 × 105 mi./sec.; 7.2 × 108 mi./hr. 36. 2.5 × 10–2 = 0.025 = 2.5% 37. 2.45 × 103 people/km2; 1.35 × 102 people/km2 38. –38 39.. 15 2. 42. –2 43. 22 · 32 44. 23 · 7 45. 27 46. 2 · 53 47. 22 · 29. 40. –126 41.. 7 − 12. Section 6.8 BJU Press. Unauthorized reproduction prohibited..
(32) Math and Scripture 6. 1. 100 cubits × 50 cubits. 8. about 275 lb.. 2. 150 ft. × 75 ft; 11,250 ft.2. 9. Bezalel (or Bezaleel) of the tribe of Judah and Oholiab (or Aholiab) of the tribe of Dan. 3. 4,200 ft.2; approx. 2.68 times larger 4. 5 cubits; 7.5 ft; no 5. 30 cubits long × 9 cubits wide × 10 cubits high 6. 45 ft. × 13.5 ft. × 15 ft. 7. 3.75 ft. × 2.25 ft. × 2.25 ft. BJU Press. Unauthorized reproduction prohibited.. 10. that God might dwell among the people, display His glory, and show a symbol or type of the eternal atoning work of Christ..
(33) Chapter 6 Review. 1.. 11 9. 2. 5. 9 20. 7.. −4 15. 8. 202.114 9.. 35 27. 4.. 17 –1 28. 10.. 75 28. 5.. 22 35. 11.. −1 3. 3. –1. 6. –6.675. BJU Press. Unauthorized reproduction prohibited.. 12. 5.1984.
(34) 13. −. 76 3. 14. –350.455 15. − 16.. 1 7. −4 21. 17. 14 18. 19.. 27 20 17 18. 20. 8.83 21. –32 22.. 47 14. 23. − 24.. 6 5. 232 − 27. 25. –61.6 26. –197.16 27. 2,898.267 Chapter 6 Review. BJU Press. Unauthorized reproduction prohibited..
(35) 28.. 29 x 35. 29.. 17 2 x 2. 30.. 3 2 x 2. 31.. 6 x 5. + +. 68 9 13 x 24. –. 46 7. + 13x – 4. +. 9 10. 2. 32. 4.6x + 2.55x + 2.1 33. –1.5x – 7.58xy + 5.8y 34. x = 3. 35. x =. 79 225. 36. x =. 3 49. 37. x = 10.25 38. x = 28. 2 5. 39. x = –0.1043 40. 40 young people 41. basketball: $15.08; football: $22.62 Chapter 6 Review. BJU Press. Unauthorized reproduction prohibited..
(36) 2 5. 1 5. 42. 36 ft. × 52 ft. 43. apple: 0.13 g; cottage cheese: 3.9 g 44. 1.051 × 109 45. –1.01 × 10–5 46. 7.011 × 10–14. 50. Following the detailed plan of the tabernacle, including its mathematical measurements, demonstrated obedience to God and allowed the finished product to speak of the glory of its Designer.. 47. 4.14 × 10–3 48. 5.074 × 1015 49. 3.60092 × 10–8 Chapter 6 Review BJU Press. Unauthorized reproduction prohibited..
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