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Standard Form

Standard Form. ALGEBRA 1 LESSON 6-3. pages 301–303  Exercises 1. 18; 9 2. 3; –9 3. –6; 30 4. ; –3 5. – ; – 6. –8; 12 7. 6; 4 8. ; –2 9. –5; 4 10. B 11. C 12. A. 13. 14. 15. 16. 17. 18. 19. horizontal 20. vertical 21. horizontal 22. vertical 23. 24.

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Standard Form

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  1. Standard Form ALGEBRA 1 LESSON 6-3 pages 301–303  Exercises 1. 18; 9 2. 3; –9 3. –6; 30 4. ; –3 5. – ; – 6. –8; 12 7. 6; 4 8. ; –2 9. –5; 4 10. B 11. C 12. A 13. 14. 15. 16. 17. 18. 19. horizontal 20. vertical 21. horizontal 22. vertical 23. 24. 3 2 9 2 3 2 4 7 6-3

  2. Standard Form ALGEBRA 1 LESSON 6-3 25. 26. 27. –3x + y = 1 28. 4x – y = 7 29.x – 2y = 6 30. –2x + 3y = 15 31. –3x – 4y = 16 32. –4x – 5y = 35 33. –14x + 4y = 1 34. 4x + 10y = 1 35. 3x + y = 0 36. a. Answers may vary. Sample: x = no. of cars; y = no. of vans or trucks b. 5x + 6.5y = 800 37. a. Answers may vary. Sample: x = time walking; y = time running b. 3x + 8y = 15 38. 39. 40. 41. 42. 6-3

  3. 4 5 5 9 5 3 y = x + 10 4 5 6 7 y = x + 3 Standard Form ALGEBRA 1 LESSON 6-3 47.a. 3x + 7y = 28 b. 7 oz 48. 4.29x + 3.99y = 30 49. 50. 43. 44. 45. 51.y = – x – 3 52.y = x – 46. 6-3

  4. 55. Answers may vary. Sample: slope-intercept form when comparing the steepness of two lines; standard form when making quick graphs 56. Answers may vary. Sample: 0x + 0y = 0, no linear equation exists. 57. –3x instead of 3x 58.y = 2 59.y = –2 60.x = 1 61.x = –2 16 11 62.a. 200s + 150a = 1200 b. Answers may vary. Sample: s = $2.00, a = $5.33; s = $3.00, a = $4.00; s = $6.00, a = $0.00 s = $3.00 and a = $4.00 because they are whole dollar amounts, and adults pay more. 63. y = x + 4 53.y = – x – 8 54.y = x – 1 9 2 3 3 5 Standard Form ALGEBRA 1 LESSON 6-3 6-3

  5. 1 36 1 12 Standard Form ALGEBRA 1 LESSON 6-3 [3] correct equation and graph [2] wrong equation, but a corresponding correct graph [1] Correct equation only 70. yes 71. no 72. no 73. 74. 75. 4 76. 2.25 77. –0.5 78. –21 64.   square 65.a. b. – ; – c. Answers may vary. Sample: The x- and y-intercepts of 2x + 3y = 18 are 3 times those of 2x + 3y = 6. 66. C 67. H 68.[2]y = x + 1; x – 4y = –4 [1] correct slope- intercept equation 69. [4]a. 48x + 56y = 2008 b. c. Answers will include three of the following: 1 Supreme, 35 Prestige; 8 Supreme, 29 Prestige; 15 Supreme, 23 Prestige; 22 Supreme, 17 Prestige; 29 Supreme, 11 Prestige; 36 Supreme, 5 Prestige 1 4 2 3 2 3 6-3

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