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(2) 21. Associative 22. Associative and Commutative 23–26. Answers will vary; Possible answers are given. 23. –3 + 0 = –3 24. –3 + (4 + 7) = (–3 + 4) + 7 25. 4 + (–4) = 0 26. 4 + 7 = 7 + 4 27. y – 4 28. x + 9. 31. Yes; all the answers are elements in the set. 32. Yes; the sum of two addends is the same no matter the order. 33. c; when c is added to any addend, the result is that addend. 34. b; a + b = c, where c is the identity. 35. 12 36. 5. 29. x + 5 30. z + y Section 2.1 © BJU Press. Unauthorized reproduction prohibited..
(3) 37. a. BMI = 22; normal b. BMI = 25.4; slightly overweight c. BMI = 27.3; overweight d. BMI = 19.7; normal 38. a. b. c. d.. 49.9 kg ≈ 109.8 lb. 99.7 kg ≈ 219.3 lb. 1.6 m ≈ 5 ft. 3 in. 1.7 m ≈ 5 ft. 7 in.. 39. 45 40. 72 41. –100 42. –28 43. 23 44. 11 45. 2.45 × 108 46. 6.0 × 10–5 47. 1.15 × 10–4 48. 1.89 × 106. Section 2.1 © BJU Press. Unauthorized reproduction prohibited..
(4) 2.2 Properties of Multiplication. 1. 1. 12. Commutative. 2. 0. 13. Commutative. 3. Commutative. 14. Commutative. 4. Zero. 15. Zero. 5. Associative. 16. Associative. 6. Closure. 17. Associative and Identity. 7. Commutative. 18. Commutative. 8. Associative. 19. –4x. 9. Identity. 20. –18x. 10. Zero. 21. –3a. 11. Identity. 22. 30x. BJU Press. Unauthorized reproduction prohibited..
(5) 23. 1 24. 3x2. 30–33. Answers will vary. Typical answers are given.. 25. 24x2. 31. –19 · 1 = –19. 26. 54x3. 32. [2 · (–5)](3) = (2)(–5 · 3). 27. If two integers are multiplied together, the product is an integer.. 33. 0(–9) = 0. 28. yes. 35. Yes; the products are the same when the order changes. For example, d · e = d and e · d = d.. 29. no. 34. No; f × f = g, but g is not in the set.. Section 2.2 BJU Press. Unauthorized reproduction prohibited..
(6) 36. d. 44. 40.1 lb.. 37. d. 45. –109. 38. d. 46. –67. 39. Multiplication by g is not defined.. 47. –106. 40. Yes; all products are in the set.. 49. Commutative. 41. Yes; changing the order does not change the product.. 51. Identity. 42. j; any element times j equals that element.. 48. 16 50. Inverse 52. Associative 53. Closure 54. Commutative. 43. 38.4 lb. Section 2.2 BJU Press. Unauthorized reproduction prohibited..
(7) 2.3 Distributive Property. 1. 7x + 7y. 12. 5(3) + 5(19) = 110. 2. –5(3 + 2). 13. 5(4) + 7(4) = 48. 3. 8(4 – 7). 14. 6(4) + 11(4) = 68. 4. (–10 + 2)x. 15. 6(2) + 6b = 12 + 6b. 5. n = 7. 16. 7d + 7(5) = 7d + 35. 6. z = 15. 17. 13r + 2(13) = 13r + 26. 7. b = 6. 18. 4(15) + 15n = 60 + 15n. 8. a = –12. 19. 70. 9. w = 5. 20. 40. 10. c = 13. 21. 272. 11. 2(8) + 2(7) = 30. 22. 180. BJU Press. Unauthorized reproduction prohibited..
(8) 23. 70 24. 477 25. –7x – 154 26. 300 27. –3x + 105 28. Commutative Property of Addition; arithmetic fact 29. Commutative Property of Addition; Distributive Property; arithmetic fact. 31. Distributive Property; Commutative Property of Addition; Identity Property of Multiplication; Distributive Property; arithmetic fact 32. Commutative Property of Addition; Associative Property of Addition; Distributive Property; arithmetic fact; Commutative Property of Addition. 30. Commutative Property of Addition; Distributive Property; arithmetic fact Section 2.3 BJU Press. Unauthorized reproduction prohibited..
(9) 33. 149. 40. definition of subtraction. 34. 168. 41. Zero Property of Multiplication. 35. 3.2 × 104 36. 5.6 × 10. 42. Identity Property of Addition. 37. Commutative Property of Multiplication. 43. Commutative Property of Addition. 38. Associative Property of Addition. 44. Commutative Property of Multiplication. –5. 39. Identity Property of Multiplication. Section 2.3 BJU Press. Unauthorized reproduction prohibited..
(10) 2.4 Evaluating Expressions. 1. –28. 12. –24. 2. –4. 13. 96. 3. 45. 14. 9. 4. 35. 15. –7. 5. –11. 16. –21. 6. –18. 17. –4. 7. –11. 18. –5. 8. 22. 19. 19. 9. 9. 20. 1. 10. –81. 21. 12. 11. 67. 22. 6. BJU Press. Unauthorized reproduction prohibited..
(11) 23. 7. 35. –3. 24. 2. 36. –60. 25. 29. 37. 6. 26. 10. 38. –34. 27. 6. 39. –3. 28. –5. 40. –207. 29. 5. 41. 0. 30. 23. 4 42. 13. 31. 69 32. 30 33. 4 34. 13. 43. 1.2 44. 529 45. 450 Section 2.4. BJU Press. Unauthorized reproduction prohibited..
(12) 46. very active 47. x–3. 53. Zero Property of Multiplication. 48. a3. 54. definition of subtraction. 49. x6y15. 55. Identity Property of Addition. 50. x5y3 51. Distributive Property. 56. Distributive Property. 52. Associative Property of Addition. Section 2.4 BJU Press. Unauthorized reproduction prohibited..
(13) 2.5 Simplifying Expressions. 1. 35b. 12. p + 191. 2. 52r. 13. 7x. 3. 352d. 14. –4b + 12. 4. 54n. 15. 4m + 1. 5. 84w. 16. 3r + 11s. 6. 4,424k. 17. 9a – 3. 7. m + 13. 18. –7y + 15. 8. s + 16. 19. 12p + 6. 9. m + 166. 20. 4w – 12x + 3. 10. a + 23. 21. 9c + 5; 23. 11. a + 62. 22. 13c + 5; 31. BJU Press. Unauthorized reproduction prohibited..
(14) 23. 4x – 4; –28. 34. 112x. 24. –3a + 9z; –54. 35. 8x – 4. 25. –2y + 7; –9. 36. 1,510 calories. 26. 6c + 14y; 124. 37. 599 calories. 27. 12a – 3; 33. 38. 7,166 calories. 28. 9b + 4c –8; 36. 39. –9z + 72. 29. –5a + 18; 3. 40. 3(x + y). 30. 13a – 12b; –9. 41. 15(3x + 2). 31. 4x + 6. 42. 6x – 6. 32. 5x – 5. 43. Commutative Property of Multiplication. 33.. x 2x , 15 15. Section 2.5 BJU Press. Unauthorized reproduction prohibited..
(15) 44. Associative Property of Addition 45. 60 46. –18 47. –9 48. –180. Section 2.5 BJU Press. Unauthorized reproduction prohibited..
(16) Problem Solving 2—Select the Operations. 1. Find the total cost using addition; find the amount of change using subtraction. $3.60 2. Divide to find the cost per can for both the regular and the sale prices; multiply each cost per can by 12; subtract to compare the costs. $1.58 3. Find the number of Bs, Ds, and As based on the number of Cs; and the number of As, Bs, Cs, and Ds and Fs to find the number of students. 4 As, 12 Bs, 3 Ds; 26 students 4. Multiply to find the cost of tickets based on the cost per person for each age group; multiply to find the cost of meals based on the cost per person; add the products; $323 5. 4 historical fiction, 12 mysteries, and 18 westerns 6. $199.71 BJU Press. Unauthorized reproduction prohibited..
(17) 7. 26 8. 63 min.. Problem Solving 2 BJU Press. Unauthorized reproduction prohibited..
(18) 2.6 Translating Word Phrases. 1. 3 – 7. 11. n – 8. 2. 2 × 5. 12. x +. 3. 19 – 12 4. 8 + 9 5. 15 – 4 6. –6 + 4. 1 3. 13. 19 – n 14. n – 4 15. 7 – n n – 10 5. 7. n + 5. 16.. 8. 6 + n. 17. 6n + 7. 9. 12n. 18. 27 + 2(–y) = 27 – 2y. 10.. n 21. BJU Press. Unauthorized reproduction prohibited.. 19. 5x + 9.
(19) 20. 33 –. x 7. 30. 85 – t 31. 3n. 21. 3(x + 5) 22.. z –1 12. 23. 11 + 2 24. 11 + n 25. 11 – 5 26. 11 – m 27. 85 + r 28. 85 + m. 32.. n +7 2. 33. 2n – 4 34. n + 1 35. 2n 36. n + 2 37. 2n + 1 or 2n – 1 38. n – 1 39. n, n + 1, n + 2. 29. 85 – s Section 2.6 BJU Press. Unauthorized reproduction prohibited..
(20) 40.. c + $0.50 3. 41. x + 16 42. 6x + 8y 43. 20x – 56 44. 5x – 5y – 6z. 46. 3y – 6 47. 2x + 3y – 6 48. 2x – 12y – 36 49. –26 50. 6. 45. –x + 22. Section 2.6 BJU Press. Unauthorized reproduction prohibited..
(21) 2.7 Estimating. 1. 50. 12. 50. 2. 60. 13. 100. 3. 590. 14. 900. 4. 300. 15. 200. 5. 7,900. 16. 6,800. 6. 89,100. 17. 4,000. 7. 7,000. 18. 10,000. 8. 16,000. 19. 9,000. 9. 122,000. 20. 69,000. 10. 110. 21. 20,000. 11. 700. 22. 3,600. BJU Press. Unauthorized reproduction prohibited..
(22) 23. 180,000. 35. 60. 24. 15. 36. 6. 25. 4,000. 37. 40,000. 26. 150,000. 38. 90. 27. 20. 39. 9. 28. 2,100. 40. 600; 780. 29. 720,000. 41. 13,000; 13,400. 30. 7. 42. 900; 990. 31. 21,000. 43. 4,000; 4,600. 32. 80. 44. 5,000; 5,100. 33. 70. 45. 40,000; 38,000. 34. 15,000. 46. 112,000 mi. Section 2.7. BJU Press. Unauthorized reproduction prohibited..
(23) 47. $10,400 48. $16,900 49. $5; $7.10 50. n – 22 51. 5n. 57. Associative Property of Addition 58. Identity Property of Multiplication 59. Closure Property of Multiplication. 52. n + 17 53.. n 12. 54.. n –6 3. 55. Distributive Property 56. Commutative Property of Multiplication Section 2.7 BJU Press. Unauthorized reproduction prohibited..
(24) Math and Scripture 2. 1. He saw the Lord was with him and caused everything he did to prosper. 2. Answers will vary; possible answers: finances, growing and harvesting of crops, other slaves, and upkeep of property. 3. Answers will vary; possible answers: finances and crops 4. There was no one else so discerning (discreet) or wise; the Spirit of God was in him. BJU Press. Unauthorized reproduction prohibited.. 5. No, he actually needed even more knowledge to oversee Egypt than to oversee Potiphar's estate. 6. Joseph had to set the rate of distribution of the food supplies that had been laid aside so that they would not run out before the seven years of famine were past..
(25) 7. 20%; Answers will vary; possible reason: the crops grown during the good years were much more productive than usual.. 8. in the cities where the crops grew; more grain than could be measured. Math and Scripture 2 BJU Press. Unauthorized reproduction prohibited..
(26) Chapter 2 Review. 1. Identity Property of Addition 2. Inverse Property of Addition 3. Zero Property of Multiplication 4. Commutative Property of Multiplication 5. Closure Property of Addition 6. Associative Property of Multiplication 7. Commutative Property of Addition BJU Press. Unauthorized reproduction prohibited.. 8. Distributive Property 9. Associative Property of Addition 10. Commutative Property of Multiplication 11. Commutative Property of Addition 12. Identity Property of Multiplication 13. Commutative Property of Multiplication 14. definition of subtraction 15. 8(7) + 8(6) 16. 15x – 21.
(27) 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28.. –9x – 36 y2 + 19y 7x + 60 3y2 + 2y x + 7y 2ab –26 200 –2 –31 –39 –5. 29. terms: 5x2, –3x, 9; constant: 9; coefficients: 5, –3 30. terms: a, 5ab, –7b; no constant; coefficients: 1, 5, –7 31. 2x – 15 32. 5a – 17b 33. –3a + 11b 34. –14 35. –6x + 21 36. 45m + 5 37. Answers will vary; possible answers: multiplied by, product, times, twice, doubled. Chapter 2 Review. BJU Press. Unauthorized reproduction prohibited..
(28) 38. Answers will vary; possible answers: subtracted from, difference, decreased by, less than, minus, less. 39. –9n 40.. x –8 2. 41. 23 + 2m 42. 12 – a 43. 64 – 5p 44.. z – 28 v. 45. 82,600; 82,600; 83,000; 80,000. 46. 47. 48. 49. 50.. 160 1,000 15,000 50 We can use mathematics to plan for the future just as Joseph did. Planning would include calculations such as yield per acre, volume for storing grain or other items, or unit prices to charge when selling them. It would also include calculating interest on investments and planning for retirement.. Chapter 2 Review BJU Press. Unauthorized reproduction prohibited..
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