41. 56,775 L;
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(2) 23. n + 53 = 96; n = 43. 33. t + 5 = 32; t = 27 teachers. 24. –20 + n = –5; n = 15. 34. x + 73 = 96; x = 23 Angus cows. 25. n – 130 = –42; n = 88 26. x + 18 = 27; 9 fish 27. x – 163 = –27; $136 28. x + 6 = 8; x = 2 ft. 29. x + 19 = 80; x = 61 points 30. c + 9 = 104; c = $95 31. a – 5 = 12; a = 17 years old. 35. s = –69 36. a = –130 37. y = –54 38. c = –72 39. d = 34 40. 840,000 mg/day; 4,500,000 L/day; 0.187 mg/L. 32. n – 14 = 64; n = 78 choir members Section 3.1 BJU Press. Unauthorized reproduction prohibited..
(3) 41. 56,775 L; 0.00024 kg/L; 13.626 kg. 47. 45,000,000. 42. 36.05 kg. 49. 24,500. 43. –2x + 10. 50. 0.0000068. 44. 8y + 16. 51. –26. 45. –2x + 9. 52. 27. 48. 0.00367. 46. 7x – 12. Section 3.1 BJU Press. Unauthorized reproduction prohibited..
(4) Problem Solving 3—Guess and Check. 1. Mark: 4 goals; Matt: 7 goals 2. autobiographies: 27; biographies: 54 3. 7, 8, 9 4. $88 ($5.50 per mug) 5. Multiply the first number by 2, then add 3: y = 2x + 3 6. 6 emus and 12 llamas 7. 13 lb. of peanuts and 7 lb. of cashews. BJU Press. Unauthorized reproduction prohibited..
(5) 3.2 Solving Equations by Multiplying or Dividing. 1. multiply by 5. 12. y = –35. 2. divide by –3. 13. a = 32. 3. divide by 4. 14. y = –3. 4. divide by 7. 15. b = –9. 5. multiply by –16. 16. a = 12. 6. divide by 3. 17. y = –261. 7. x = 24. 18. x = –99. 8. z = 280. 19. x = –4. 9. x = –4. 20. w = 17. 10. c = 13. 21. a = –17. 11. x = –3. 22. z = –228. BJU Press. Unauthorized reproduction prohibited..
(6) 23.. n = 84; n = 168 2. 24. 17n = 68; n = 4 25.. n = 44; n = 308 7. 26. 5n = 215; n = 43 27.. n = 7; n = 98 14. 28. 19n = 361; n = 19 29. 3(2n) = 138; n = 23 30.. 1 n = 1,157; n = 15,041 13. 31.. 1 x = 213; $2,130 10. 32. 5x = 65; $13/yd. 33.. x = 5; 15 events 3. 34. 7x = 364; 52 mi./hr. 35. 6x = 126; 21 times 36. 4x = 304; 76 dozen ears 37. 0.69x = 20; 28 candy bars 38. 1,250x = 7,500; 6 tied 39. 80 + (3n + 9) = 110; n = 7. Section 3.2 BJU Press. Unauthorized reproduction prohibited..
(7) 40. x + 7x + 49x = 627; 11 mi. by bicycle, 77 mi. by car, 539 mi. by plane. 45. 13. 7n 7 41. or n 3 3. 48. 273. 42. (a) if x is any negative number (b) if y and z are both negative or both positive. 50. 81. 46. –5 47. –61 49. –81. 51.. 1 x3. 43. No, their discharge is 0.885 mg/L.. y2 52. 4 x. 44. (a) 850,00 L/day; (b) 590.3 L/min.. a2 53. 5 b. 54. c3 Section 3.2 BJU Press. Unauthorized reproduction prohibited..
(8) 3.3 Solving Two-Step Equations 1. subtract 6. 13. r = 63. 2. add 15. 14. x = 4. 3. divide by 3. 15. b = –10. 4. multiply by 5. 16. p = 390. 5. k = 6. 17. x = –18. 6. c = 48. 18. w = –70. 7. k = –3. 19. x = 47. 8. n = 81. 20. x = 96. 9. z = 4. 21. s = 108. 10. s = 9. 22. t = –35. 11. x = 5. 23. m = –48. 12. n = –4. 24. x = 39. BJU Press. Unauthorized reproduction prohibited..
(9) 25. b = 117 26. 10x + 43 = 223; 18 ten-dollar bills 27. 4x + 6 = 50; $11/yd. 28. 3x + 470 = 527; $19 per tool 29. 2x – 10 = 140; $75 per bottle 30. 4x + 75 = 155; $20 per shirt 31. 8x + 416 = 800; $48 per costume 32. 8x + 96 = 200; 13 shrubs 33. 2x + 3,000 = 10,000; $3,500 for each 34.. 35. 8x + 4(500) + 4(1,000) = 22,840; Four workers will get $2,605 and four will get $3,105. 36. a = –8 37. x = 22 38. z = –10 39. y = –20 40. x = 65 41. 5.5 ft.3/sec. 42. 1.37 ft.3/sec.. 1 x – 200 = 600; x = $2,400 3. Section 3.3 BJU Press. Unauthorized reproduction prohibited..
(10) 43.. Q12 5.5 4 ≈ ≈ ; Q6 1.37 1 The ratio of the flow rates is the ratio of the radii squared, so it is 22 = 4.. 47. 64 48. –221 49. –1 50. –84. 44. 13. 51. 24. 45. 0. 52. –6. 46. –3. 53. –14. Section 3.3 BJU Press. Unauthorized reproduction prohibited..
(11) 3.4 Simplifying before Solving. 1. 12x. 12. x = 5. 2. 13y. 13. z = –3. 3. –6z. 14. x = –15. 4. –13g. 15. n – 2n = –60; n = 60. 5. –5c + 17. 16. 2x + x = 9; 3 games lost. 6. x. 17. x + 4x = 25; x = 5; The numbers are 5 and 20.. 7. 4p – 6 8. 7a – b. 18. x + (2x + 1) = 91; x = 30; The numbers are 30 and 61.. 9. –3r + 8. 19. x = 4. 10. 8t – 5 11. x = 5 BJU Press. Unauthorized reproduction prohibited.. 20. x = 5.
(12) 21. y = –6 22. a = 11 23. x = 7 24. x = –19 25. y = 19 26. k = –1 27. x = 2 28. y = 8 29. x = 101. 33. 4(2x) + 5x = 585; 90 regular and 45 large sandwiches 34. 2x – 6 = 82; 44 right; 52 questions 35. 6(x + 5) + 20x = 82; ground beef: $2/lb., steak: $7/lb. 36. 250t + 90t = 3,060; 9 months. 30. x = 0. 37. 8x + 12(2x) = 256; first: $64, second: $192. 31. 4x + 7x = 1,386; $126. 38. x + 2x = 69; 23 min.. 32. 11x + 8x = 10,450; $550 Section 3.4 BJU Press. Unauthorized reproduction prohibited..
(13) 39. x + 4x = 4,000; trailer: $800, boat: $3,200. 48. 18. 40. x + 5x + (2x – 3) = 61; Denny: 8, Bobby: 40, Jamal: 13. 50. 18. 49. 18 51. –18. 41. x = 93. 52. 6.7 × 109. 42. x = 61. 53. 7.25 × 10–6. 43. x = 6. 54. 2.03 × 1010. 44. x = 14. 55. 3.2 × 10–8. 45. 900 46. 120 min. = 2 hr.. 56. Associative Property of Addition. 47. 269 min. = 4 hr. 29 min.. 57. Distributive Property. Section 3.4 BJU Press. Unauthorized reproduction prohibited..
(14) 3.5 Using Equations. 1. 12r = 636; 53 mi./hr. 2. 15r = 735; 49 mi./hr. 3 9x = 42; 4 times 4. 9x = 171; 19 rakes 5. 20x = 1,200; 60 acres 6. 24(3) + x = 100; $28 7. 6t = 45; 7.5 hr. 8. 6r = 2,400; 400 mi./hr. 9. x – 18 = 52; 70 items 10. 65 – x = 18; 47 items 11. 6r = 1,350; 225 knots BJU Press. Unauthorized reproduction prohibited.. 12. 6x = 8(12) (or, alternately, 0.5x = 8); 16 slats 13. 4x = 66; 16 in. long 14.. 20 x = 52; 4 boxes of 13 5. doughnuts each 15. 4x + 250 = 398; $37 per shirt 16. x + 112 = 53 + 3(29); $28 17. 30x + 60 = 300; 8 times 18. 2.40x + 44 = 80; 15 tassels.
(15) 19. 6(55) + 60(t) = 570; 4 hr. 20. 880(10) + 10r = 3(5,280); 704 ft./min. 21. 8x + 2(4) = 20; 1.5 lb. 22. x + 2x – 16 = 80; 32 girls 23. 5x + 175 = 215; $8 per paintbrush 24. 2(22.5) + 35 + 42x = 164; $2 per block 25. 2x + 7 = 20; 6.5 gal. 26. 25x + 290 + 35 = 400; 3 shirts. 27. 12x + 27(18) = 738; 21 hr. 28. 4x + 215 = 375; $40/hr. 29. 5(2x) + 2x = 960; 80 students 30. x + 2x –13 = 23; x = 12; Elisabeth took 1 min. less 31. 15t + 15(2t) = 90; t = 2 hr. 1 3. 32. 8t = (12); t=. 1 hr. = 30 min. 2. Section 3.5 BJU Press. Unauthorized reproduction prohibited..
(16) 33. 16(2.95) + 5x + 8(20 – x) = 171.20; 12 at $5, 8 at $8 34. x + 2x + 3x = 24; 4 ft., 8 ft., and 12 ft. 35. 2x + x + x + 50 = 6,170; A: 3,060; B: 1,530; C: 1,580. 40. two numbers whose sum is zero 41. two numbers whose product is one 42. –x + 16y 43. 6x – 2 44. 6x – 17. 36. x + (x – 5) + (x – 8) = 32; 15 yr. old. 45. –10x + 2. 37. 3r + 3(r + 4) = 120; 18 knots and 22 knots. 47. 2,500. 38. 533.3 ft.3/min.. 48. 70. 39. 20 in.. 46. 120. 49. 40 Section 3.5. BJU Press. Unauthorized reproduction prohibited..
(17) 3.6 Sets of Numbers and Inequalities. 1–8.. 15. no 16. yes; 10 17. no 18. yes 19. yes. 9. no 10. yes; 4 11. yes; 25 12. no 13. yes; –5 14. no BJU Press. Unauthorized reproduction prohibited.. 20. yes 21. 10, 20 22. 8, 10, 11 23. 0, 8, 16 24. 12, 15 25. 3.
(18) 26. –8, 20. 36. 3x = –6. 27. –10. 37. 7x = 1. 28. –5, 5, 10. 38. 3x = 0. 29. –4. 39. min.: –5, max.: 3. 30. none. 40. 5,556 gal./min.. 31. 19. 41. 333.3 L/min.. 32. 4.2, 10, 100, 420. 42. x = 14. 33–38. Answers will vary. Possible answers are given. 33. 3x = 7 34. 4x = 20 35. x + 8 = 2. 43. x = –12 44. x = 6 45. x = 17 46. 20 47. –102 Section 3.6. BJU Press. Unauthorized reproduction prohibited..
(19) 48. –3,473 49. 3 50. 2n – 4 51. (n + 4)2. Section 3.6 BJU Press. Unauthorized reproduction prohibited..
(20) 3.7 Solving Linear Inequalities. 1.. 7. x ≤ 7 8. x < –2. 2. 3.. 9. x < 8 10. y < –1 11. y < –17. 4. 5. 6.. 12. z > 2 13. z ≤ 3 14. y ≠ 10 15. x ≥ –36 16. x ≤ –2. BJU Press. Unauthorized reproduction prohibited..
(21) 17. x ≥ –5. 28. x < –8. 18. x > –30. 29. x > 1. 19. x < –7. 30. x > 2. 20. x ≥ 2. 31. x ≤ 6. 21. x < –3. 32. x ≤ 5. 22. x ≤ 10. 33. –4, –3, –2, –1, 0, 1, 2, 3, 4. 23. x > –90. 34. Any x such that x > 3 or x < –3. 24. x ≥ 315 25. y ≠ –80 26. z > –3 27. x ≤ –5. 35. 21.9555 million gal./day 36. 2.287 million gal. 37. –441. Section 3.7 BJU Press. Unauthorized reproduction prohibited..
(22) 38. 256 39. 8x18 40. 441 41. Distributive Property 42. Commutative Property of Addition. 43. Associative Property of Multiplication 44. Inverse Property of Addition 45. a + b = 0 46. cd = 1. Section 3.7 BJU Press. Unauthorized reproduction prohibited..
(23) 3.8 Using Inequalities. 1. x ≤ 5 cars. 12. not more than 98 yd.. 2. x ≥ 800 bushels. 13. at least $299. 3. x > 10 in.. 14. 23 is the largest integer.. 4. x ≥ 80 bags. 15. at least 9 hr.. 5. x > 35 points. 16. less than $11 per blouse. 6. x > 15 acres. 17. at most $71 per night. 7. x ≥ 140 m. 18. at least 17 points per game. 8. 13 is the largest integer. 19. shoes: at least $67, dress: at least $134. 9. 110 is the smallest integer 10. at most 165 calories 11. at least $139 per month BJU Press. Unauthorized reproduction prohibited.. 20. 6 skirts 21. at least $118.
(24) 22. Mary: 31 marbles, Kate: 72 marbles. 33. 100 34. 4n – 16. 23. at least 7 properties 24. no more than 50 ft.. 35.. x +3 3. 25. 1,350 gal./min. 26. –5x + 5 27. –x – 21 28. 10x – 3 29. –20x + 15 30. 150 31. 400 32. 1,600 Section 3.8 BJU Press. Unauthorized reproduction prohibited..
(25) Math and Scripture 3. 1. God incited David because He was angry with Israel (2 Sam. 24:1); Satan stood up against Israel and incited David (1 Chron. 21:1). 2. 2 Samuel 24:10; 1 Chronicles 21:8 3. men who drew the sword (2 Sam. 24:9, 1 Chron. 21:5). Only fighting men older than 20 (1 Chron. 27:23) 4. 9 months and 20 days (2 Sam 24:8). BJU Press. Unauthorized reproduction prohibited.. 5. Levi and Benjamin (1 Chron. 21:6) 6. 800,000 in 2 Sam. 24:9; 1,100,000 in 1 Chron. 21:5 7. 500,000 in 2 Sam. 24:9; 470,000 in 1 Chron. 21:5 8. 300,000 9. 30,000 10. 24,000 × 12 = 288,000 11. 800,000 + 288,000 = 1,088,000.
(26) 12. 1,100,00 – 1,088,000 = 12,000 13. 300,000; Yes, they would both give 1,100,000 for Israel. 14. If the 30,000 men were a permanent garrison in the area of Kirlath-jearim (Balle-judah), then the 30,000 + 470,000 = 500,000 would reconcile the two accounts.. BJU Press. Unauthorized reproduction prohibited.. 15. The garrisons in Aram (Syria) and Edom were not counted in the census. 16. 470,000 rounds to 500,000..
(27) Chapter 3 Review. 1. subtract 9. 12. m = 4. 2. divide by 5. 13. a = –25. 3. multiply by 2. 14. x = 12. 4. add 6. 15. n = 108. 5. divide by –7. 16. n = –3. 6. subtract 12. 17. p = 23. 7. addition. 18. x = –7. 8. addition. 19. y = 1. 9. multiplication. 20. x = –6. 10. multiplication. 21. 3x = 52. 11. x = 87. 22. x – 24 = 93. BJU Press. Unauthorized reproduction prohibited..
(28) 23.. x = 16 −3. 24. 62 = 4(x + 3) 25. 2x – 42 = –18 26.. x − 48 = 31 2x. 27. 10 beetles. 31. –4, –2, 0, 1 32. –4, –2, 0, 1, 5 33. –4, –2, 0, 1 34. 5 35. 36.. 28. 1,000 candy bars 29. middle school:238, high school: 362. 37.. 30. 3 historical fiction, 7 biographies, and 1 mystery. 38.. Chapter 3 Review BJU Press. Unauthorized reproduction prohibited..
(29) 39. x > 31 40. x ≤ –9 41. x ≠ –10 42. x < –56 43. 199 is the largest integer. 44. at least 98 45. at least $472 46. at least $374. 48. An even balance used in judging would prove Job's integrity. Similarly, doing the same thing to both sides of an equation will produce a correct answer. A scale with differing weights will produce an incorrect result, just as doing different things to the sides of an equation will produce a wrong answer.. 47. at least $41; at least $284 interest. Chapter 3 Review BJU Press. Unauthorized reproduction prohibited..
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