1. The Distributive Property
ALGEBRA 1 LESSON 1-7
pages 50–52  Exercises
2. 663
5. 686
7. 20,582
8. 24,480
9. $3.96
10. $11.82
11. $29.55
12. $209.51
13. $98.97
14. $2.76
15. 7t – 28
16. –2n + 12
17. 3m + 12
18. b –
19. –2x – 6
20. 4y + 6
q + 8
22. 18n – 42
– r
24. –4.5b
25. 2w + 4
26. – n
27. –x – 3
28. –x + 3
29. –3 – x
30. –3 + x
31. –6k – 5
32. –7x + 2
33. –2 + 7x
34. –4 + z 4 5 2 15 16
35. –3t
36. 20k2
37. 7x
38. 24w
39. 5v2
40. 6m
41. –17q
42. –45x
43. 3(m – 7)
44. –4(4 + w)
45. 2(b + 9)
46. –11(n – 8)
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2. The Distributive Property
ALGEBRA 1 LESSON 1-7
47. 2(3c + 9)
48. (3 + r )(r – 7)
49. 44,982 x
d – dh
– n
b + 128 m
d – 42
61. –8.4 – 300g + 512h
62. –12k – 5m + 62
63. 6p – 14q + 30w
64. 36x y – 72.9
(5 – k)
( p)
(b – )
68.
(x – )
70. 8x + 38
71. No; 2a • 2b = 4ab.
72. The student did not mult.
the second number in
parentheses, 10, by 4 to
get the correct answer,
12x + 40.
73. Answers may vary.
Sample: 2(x + 5) = 2x + 10 d
75. –76p2 – 20p – 9
76. –6.1t t
m – 12.5v 5 8 1 4 1 2 7
100 4 3 11 20 13 30 40 7 50 7 17
z – 34 1 3 11 12
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3. The Distributive Property
ALGEBRA 1 LESSON 1-7
n + n3
79. – k h
80. 7m2 – mz + 4
– 7t + 6y
b – 5b2 + 5c
83. –4xyz + 6xy
84. terms: –7t, 6v, 7, –19y,
coefficients: –7, 6, –19,
constant: 7
85. a. ( )50 ft2
b ft2 71 42
pennies, 7 nickels,
4 quarters, 1 dime
87. 4(1.02) + 3(0.99) + 3(0.52)
= t ; $8.61 t
89. –6r + 37
90. –3m – 9
91. 2a + 2ab + abc
92. 14b + 42b2
93. 5y + 13z
94.
95. a. 2; 2
b. –2; –2
c. Yes; the two
expressions
are equal for
the values of
a, b, and c in
parts (a) and (b).
96. a. 30; –8
b. 12, –6
c. No; parts (a) and
(b) show the
expressions are
not equal.
107
120 3 20
3x – 10 3
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4. The Distributive Property
ALGEBRA 1 LESSON 1-7
97. D
98. G
99. A
100. F
101. D
102. H
103. C
104. I
105. –68
106. –4
107. 4
108. 7
109.
110. –
111. –
112. –3
113. –17
114. –2.386
120. –9.6 1 6
121. –7.7
123. a. 4 +
b. 7; 5; 8 5 4 m 3 1 5
1-7