1. 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
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
15. 45
16. 50
17. 2n = 51,514;
23,743 books
18. 2m + 18 = 60;
21 min
m = 69.70;
85 min
20. 21
1 2
2 5
2-2

2. Solving Two-Step Equations
ALGEBRA 1 LESSON 2-2
42. –30
43. 1
45. 0
46. 8
47. –6.4
48. 2
49. 2
– 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
– 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
c – 500 = 4650; $
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

3. Solving Two-Step Equations
ALGEBRA 1 LESSON 2-2
63. 25
64. 87
65. –28
66. –34
68. 19
70. x is the amount he needs
to save each week; in 16
weeks he will save 16x
dollars and have a total
of ( x) 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

4. Solving Two-Step Equations
ALGEBRA 1 LESSON 2-2
(or its equivalent)
82. 9
(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
– y; 7
Fahrenheit Celsius
212° 100°
98.6° 37°
68° 20°
32° 0°
–40° –40°
1 2
2 5
2-2