1. Exponents and Order of Operations
ALGEBRA 1 LESSON 1-2
pages 12–15  Exercises
1. 59
2. 22
3. 7
4. 113
5. 32
6. 29
7. 21
8. 27
9. 124
10. 15
25. 57
26. 9
29. 18
31. 0
32. 7
33. 81
34. 36
35. 8 cm3
in.3
ft3
cm3
39. 15,000 ft3 m3
41. 15
42. 7
44. 1
45. 51
48. 61
50. 58
51.
52. 7
53. 1
54. 7
13. $37.09
14. $347.10
15. 22
16. 3
17. 44
18. 5
19. 16
20. 4 1 3 5 6 7 15 5 8
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2. Exponents and Order of Operations
ALGEBRA 1 LESSON 1-2
55. a. left side = 1
right side = 1
b. left side = 4
right side = 2
c. Answers may vary.
Sample: For a = 2 and
b = 3, left side = 25,
right side = 13
d. No; as seen in part (b),
(a + b)2 = a2 + b2 is
not true for all values
of a and b.
56. 17
57. 9
61. 27
62. 14
64. a. 135 in.2
b. The frame is
2 in. wide, so
it adds 2 in.
on each side.
65. $.16
cm3
67. a cm3
b cm3
c. about 73%
68. 38
70. 9
71. 10
72. 10
73. a in.3
b. 2.0 in.3
c in.2 3 4 1 3
1-2

3. Exponents and Order of Operations
ALGEBRA 1 LESSON 1-2
74. Yes; the rules for
simplifying are
designed to
produce exactly
one result.
75. (10 + 6) ÷ 2 – 3 = 5
– (2 + 5) – 3 = 4
77. (32 + 9) ÷ 9 = 2
78. (6 – 4) ÷ 2 = 1
79. a. 22; 22
b. No; part (a) shows
the value is unaffected
for the given numbers.
80. a. 16, 2
b. Yes; part (a) shows
that the placement of
parentheses can
affect the value of
the expression,
when both add. and
subtr. are involved.
5 + 4 – 1 • 2 = 7
25 ÷ (4 • 1) = 8
25 ÷ = 9
42 – (1 + 5) = 10
(42 – 5) ÷ 1 = 11
= 12
2(4 – 1) + 5 = 13
2 • • 4 = 14
5(4 – 12) = 15
2(1 + 5) + 4 = 16
5 + 4(2 + 1) = 17
4(5 – 1) + 2 = 18
4 • 5 – 12 = 19
– 1 = 20
81. Answers may vary. Samples:
2(4 – 1) – 5 = 1
5 + 2 – (1 + 4) = 2
(24 – 1) ÷ 5 = 3
– 4 = 4
2 • 5 – (1 + 4) = 5
(52 – 1) ÷ 4 = 6
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4. Exponents and Order of Operations
ALGEBRA 1 LESSON 1-2
82. a. 38 ft2
b. Yes; 2h = 2 h .
No; h = 2h
since b2 = 0.
Yes; h = h =
2 h .
95. 95% %
97. 6%
98. 43
, 150, 240
, 39, 52
b1 + b2 2
2b1 + b2 /
2(b1 + b2)
102–106. Answers may vary.
Samples are given.
102. 8, 24, 56
, 100, 250
, 66, 121
83. D
84. F
85. B
86. H
87. B
88. F
89. c + 2
90. 36m
91. t – 21
92.
93. 50%
94. 34% y 5
1-2