Adding Real Numbers pages 27–30 Exercises 1. 6 + (–3); 3 12. –42 ALGEBRA 1 LESSON 1-4 pages 27–30  Exercises 1. 6 + (–3); 3 2. –1 + (–2); –3 3. –5 + 7; 2 4. 3 + (–4); –1 5. 15 6. –11 7. –19 8. 12.14 9. –4 10. 5 11. –8 1 6 12. –42 13. 2.2 14. –0.65 15. –7.49 16. 1.33 17. 18. – 19. 6 20. –6 21. 0 22. – 23. 5 24. – 25. –47 + 12 = –35, 35 ft below the surface 26. 8 + (–5) = 3, 3 yd gain 27. –6 + 13 = 7, 7°F 28. 8.7 29. –1.7 30. 1.7 31. –8.7 32. 12.6 13 14 14 15 8 9 3 16 1 8 13 18 1-4

36–37. Choices of variable may vary. 36. c = change in temp., –8 + c Adding Real Numbers ALGEBRA 1 LESSON 1-4 38. 39. 40. 41. 42. –2.7 43. –13 44. 6.6 33. –5.6 34. 5.6 35. –12.6 36–37. Choices of variable may vary. 36. c = change in temp., –8 + c a. –1°F b. –11°F c. 11°F 37. c = change in amount of money, 74 + c a. $92 b. $45 c. $27 –1 1.4 –21 23.2 19 24 45. 11 46. 4 47. –3 48. –18.53 49. –20.83 50. –1.72 51. – 52. –5 53. 0.8 54. 4 55. –8.8 –18.2 11.6 19.1 22 35 25 –12 17 60 1.8 22 – 7 11 120 1 2 1 3 1-4

is positive, while the sum of 227 and –319 is negative. Adding Real Numbers ALGEBRA 1 LESSON 1-4 56. 13.8 million people 57. 6.3 million people 58. Weaving; add the numbers in each column. 59. a. = b. 0.23 c. about 23% 60. 0 61. –2 62. 1 63. –5 64. 7 65. 5 66. –1 67. 1 68. The sum of –227 and 319; the sum of –227 and 319 is positive, while the sum of 227 and –319 is negative. 69. Answers may vary. Sample: Although 20 and –20 are opposite numbers, there is no such thing as opposite temperatures. 70. –0.3 71. –13.7 72. –0.6 73. 8.7 74. 0.1 75. –1.9 76. +2 100 442 50 221 1-4

77. Answers may vary. Sample: Adding Real Numbers ALGEBRA 1 LESSON 1-4 77. Answers may vary. Sample: 78. The matrices are not the same size, so they can’t be added. 79. No; time and temperature are different quantities and can’t be added. 80. a. 82. a. 4 b. –4 80. (continued) b. c. 4 employees d. 10 employees e. Answers may vary. Sample: Multiply the entries in each column by the appropriate hourly wage, then by 8, and then add all entries to find the total wages. f. $3230 81. $7 2 0 1 –1 3 0.5 13 5 6 2 18 4 2 2 6 2 0 2 8 3 5 1 10 2 2 1 4 1 0 1 5 2 1 1 8 2 0 1 2 1 0 1 1-4

Adding Real Numbers 83. 84. 85. 86. – 87. 88. – 89. 8 32 –27 20 6 0 ALGEBRA 1 LESSON 1-4 83. 84. 85. 86. – 87. 88. – 89. 8 32 –27 20 6 0 1 –1 2 1 1 4 2 w 10 c 90. – 91. 92. 93. 94. Pos.; if m is neg., –m is pos. and the sum of two pos. is pos. 95. Neg.; if n is pos., –n is neg. and the sum of two neg. is neg. 96. Pos.; if m is neg., 97. Zero; sum of neg. and pos. is the difference of the abs. values. |n| = |m| so |n| – |m| = 0. 98. zero; n + (–m) = n + (–n) = 0 99. B 100. F 101. D 102. F 103. C 104. H 105. < 106. = 111. 9 112. 2.2 113. 18 114. 21 107. < 108. > 109. > 110. = x 12 t 6 –3m + 1 m 9 58a 21 2b 1-4