Solving Two-Step Equations

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Presentation transcript:

Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 pages 84–86 Exercises 1. –10 2. 6 3. –1 4. –34 5. –3 6. 27 7. –60 8. –2 9. 96 10. 112 11. 3 21. –16 22. –22 23. –85 24. 1 25. 25 26. 0 27. –2 28. –11 29. –7 30. –5 31. –16 32. –24 33. –15 34. –8 35. –1 36. Subtr. Prop. of Eq. Simplify. Mult. Prop. of Eq. Simplify. 37. Add. Prop. of Eq. Simplify. 38. Subtr. Prop. of Eq. Simplify. 39. Subtr. Prop. of Eq. Simplify. Div. Prop. of Eq. Simplify. 40. 4 41. 75 12. 4 13. 6 14. 120 15. 45 16. 50 17. 2n + 4028 = 51,514; 23,743 books 18. 2m + 18 = 60; 21 min 19. 39.95 + 0.35m = 69.70; 85 min 20. 21 1 2 2 5 2-2

Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 42. –30 43. 1 44. 0.382 45. 0 46. 8 47. –6.4 48. 2 49. 2 50. 2.6 51. 2.6 52. 8 + – 8 = – 6 – 8 Subtr. Prop. of Eq. = –14 Simplify. (–4) = –14(–4) Mult. Prop. of Eq. c = 56 Simplify. 53. 7 – 3k – 7 = –14 – 7 –3k = –21 Simplify. = Div. Prop. of Eq. k = 7 Simplify. c –4 54. 14 – 6 = 6 – 2p – 6 Subtr. Prop. of Eq. 8 = –2p Simplify. = Div. Prop. of Eq. –4 = p Simplify. 56. 10k + 22 = 45; 2.3 km 57. 0.8c – 500 = 4650; $6437.50 58. 10,000d + 125,000,000 = 150,000,000; about 2500 days 59. 43 60. 5 61. 2 62. 19 c –4 c –4 8 –2 –2p –2 3 4 3k –3 –21 –3 2-2

Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 63. 25 64. 87 65. –28 66. –34 67. 15.5 68. 19 69. 31.5 70. x is the amount he needs to save each week; in 16 weeks he will save 16x dollars and have a total of (40 + 16x) dollars. That amount should equal $129. 71. The neg. sign was dropped; –1. 72. –12 was divided by 3 instead of multiplied by 3; –36. 73. Check students’ work. 74. 5; –1; 6; –9 75. This eliminates the decimals. 2-2

Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 81. (or its equivalent) 82. 9 83. 2.75 (or its equivalent) 84. 27 85. 3 86. 4 87. 12 88. 15 89. –9 90. 6 91. 33 92. 11 8 5 93. 6 94. 4 95. 6 96. –11 97. 12 76. 77. a. 104°F; 30°F; –50°F b. Answers may vary. Sample: The formula gives good estimates except for –40°C. 78. 8 – y; 5 79. 1 – 2y; 2 80. 12 – y; 7 Fahrenheit Celsius 212° 100° 98.6° 37° 68° 20° 32° 0° –40° –40° 1 2 2 5 2-2