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Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
1 2015 Carreon
Section 4.1
1.
2.
3.
4.
5.
6.
-4 -3 -2 -1 0 1 2 3 4
-4 -3 -2 9
8 -1
1
8 0
1
8 1
9
8 2 3 4
-4 7
2 -3 -2 -1
1
2 0
1
2 1 2 3
7
2 4
-4 20
6 -3 -2 -1
5
6 0
5
6 1 2 3
20
6 4
-4 -3 11
4 -2
6
4 -1 0 1
6
4 2
11
4 3 4
-4 27
8 -3 -2
14
8 -1 0 1
14
8 2 3
27
8 4
8
3
1
3
8
3
1
3
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
2 2015 Carreon
7. 18
24 8.
3
24
9. 4
20 10.
14
20
11. 8
18
12.
15
18
13. 12
36
14.
4
36
15. 48
42 16.
49
42
17. 88
48 18.
54
48
19. 9
7 20.
9
7
21. 1
5
22.
1
3
23. 9
6
24.
9
8
25. 2
6 26.
3
9
27. 28
7 28.
88
11
29. 90
10
x 30.
40
8
x
31. 6
10
x
x
32.
14
16
x
x
33. 24
21
x
x
34.
55
33
x
x
35. 60
6
n
n 36.
45
5
n
n
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
3 2015 Carreon
37. 6
9
n
n
38.
20
24
n
n
39. 20
15
n
n
40.
24
21
n
n
41. 1
4 42.
1
5
43. 1
4 44.
1
6
45. 5
4 46. 2
47. 4 48. 8
49. 2
3 50.
3
5
51. 4
3 52.
5
4
53. 1
3 54.
1
4
55. 1
4 56.
3
7
57. 7
5 58.
8
9
59. 9
2 60.
9
2
61. 3
4 62.
7
9
63. 5
8 64.
6
7
65. 10
7 66.
8
7
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
4 2015 Carreon
67. 1
3 68.
1
2
69. 3 70. 6
71. 9
10 72.
9
14
73. 3
4 74.
7
8
75. 8
9 76.
7
5
77. 9
5x 78.
5
2x
79. 4
a 80.
8
a
81. 5
18c
82.
7
26
c
83. 23
25x 84.
32
35
x
85. 1
3 86.
1
4
87. 6
17
x 88.
7
16
x
89. 5
9 y
90.
7
11
x
91.
3
3
7
11
a
b 92.
3
3
3
13
b
a
93. 3
y
94.
4
y
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
5 2015 Carreon
95. 2
k
m 96.
5
3
k
m
97. 1
8cd 98.
1
7d
99. 6x 100. 6xy
101. 2 3
8
3ab c
102.
3 2
56
27a b c
103. 3
5
a
d 104.
6
ac
bd
105. 63
50
z
x 106.
324
17
xz
Section 4.2
1. 3
20 2.
15
32
3. 99
56 4.
36
35
5. 1
24 6.
1
40
7. 1 8. 3
2
9. 28 10. 24
11. 11
5 12.
1
9
13. 7
4 14. 1
15. 2
3 16.
1
2
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
6 2015 Carreon
17. 2
9 18.
3
8
19. 49
20 20.
16
5
21. 5
16 22.
11
64
23. 35
24 24.
7
12
25. 72
77 26.
85
39
27. 33
40 28.
216
5
x
29. 4
25
xy 30.
10
3ac
31. 4
7
c 32.
3
7 y
33.
439
80
x 34.
3
8
39a
35. 24
7c 36.
11
64y
37.
256
5
a 38.
77
102
39. 3
48
133x 40.
223
16
y
41.
2112
65
c 42.
314
11
a
43.
3
2
5
9
c
a 44.
3
16
21
x
y
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
7 2015 Carreon
45. 1
12xy 46. 9ac
47. 3
2
3c 48.
4
y
49. 8
21 50.
35
36
51. 2
5ac 52.
10
21
xy
53. $1,470 54. $2,730
55. $352 56. $304
57. $730 58. $5,400
59. $25,200 60. $56,000
61. $45,000
Section 4.3
1. 5
12 2. 15
3. 8
7 4.
2
9
5. 18 6. 4
3
7. 1
16 8.
1
23
9. 1
39 10.
1
17
11. 24
23 12.
29
28
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
8 2015 Carreon
13. 4
7 14.
3
5
15. 4
25 16. 24
17. 4 18. 5
19. 9
2 20.
4
3
21. 18 22. 4
45
23. 35
8 24.
28
45
25. 7
36 26.
7
45
27. 2
21
x 28.
8
3
a
29. 2
18
c 30.
3
40
a
31. 63
22
y 32.
8
11
x
33.
3121
78
x 34.
4
2
39
28
y
x
35. 27
16a 36.
3
25
2c
37. 3
1
6c 38.
2
1
9a
39. 5
14
y 40.
6
16
y
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
9 2015 Carreon
41. 212x
y 42.
29a
c
43. 2
140
3c 44.
2
7
18x
45. 5
6
y
x 46.
3
2
a
c
47. 24
5
a c 48.
23
16
yx
49. 128 Servings 50. 96
51. 6 52. 15
53. 12 burgers 54. 6 burgers 55. 48 light sabers 56. 5 trips
57. 6 layers 58. 40 laps
Section 4.4
1. 1
4 2.
5
12
3. 7
8 4. 1
5. 1
2 6.
1
2
7. 1 8. 17
15
9. 2
21 10.
7
16
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
10 2015 Carreon
11. 1 12. 4
5
13. 3
2 14. 1
15. 5
9 16.
1
4
17. 1
3 18.
2
3
19. 4 20. 2
21. 0 22. 7
10
23. 19
5 24. 2
25. 6
7 26. 0
27. 6
7 28. 0
29. 1 30. 7
8
31. 3
16
32.
4
3
33. 5
x 34.
8
u
35. 5
10
a 36.
4
18
n
37. 1
c 38.
2
x
39. 3
u 40. 0
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
11 2015 Carreon
41. 2
x
m 42.
2
n
43. 9
5
a 44.
6 3
5
a
45. 4 2
3
a
c
46.
2a
c
47. x
n 48. 0
49. 45 50. 30 51. 24 52. 60
53. 18 54. 30
55. 40 56. 48
57. 28 58. 45
59. 72 60. 56 61. 20 62. 36
63. 84 64. 30
65. 108 66. 72
67. 140 68. 54
69. 36 70. 160 71. 378 72. 56
73. 144 74. 216
75. 144 76. 120
77. 1225 78. 900
79. 2n 80.
4x
81. 2x 82. 3n
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
12 2015 Carreon
83. 18m 84. 12a
85. 34a 86.
23m
87. 5n 88. 6x
89. 3
2 90.
9
8
91. 1
2 92.
5
9
93. 7
18 94.
13
12
95. 11
20 96.
1
40
97. 1
5 98.
1
10
99. 3
8 100.
1
6
101. 1
6 102.
7
48
103. 33
32 104.
34
35
105. 5
48 106.
1
8
107. 21
20 108.
19
24
109. 43
42 110.
19
24
111. 5
12 112.
3
8
113. 41
32 114.
7
6
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
13 2015 Carreon
115. 29
72 116.
29
36
117. 12 14
21
x 118.
5 6
10
x
119. 2
3
u 120.
3
10
u
121. 4 27
9
n
n
122.
3 8
4
n
n
123. 7
10
a 124.
4
3
a
125. 72 7
8
c
c
126.
14 3
7
c
c
127. 7
3x 128.
11
4x
129. 9
2u 130.
1
6u
131. 2
1n
n
132.
2
1 n
n
133. 2
24 8
6
c
c
134.
2
12 6
5
c
c
135. 2
9 10
30
a
a
136.
2
25 18
30
a
a
137. 1
6horsepower stronger 138. Total weight:
31
30tons, No
139. 3
4 acres remained 140. 1 miles of fencing
141. 11
12mile of fencing 142.
11
8cups or
31
8cups
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
14 2015 Carreon
Section 4.5
1. 11
4 2.
7
2
3. 77
8 4.
8
3
5. 39
8 6.
53
16
7. 31
6 8.
37
5
9. 17
12 10.
26
3
11. 37
10 12.
28
5
13. 17
9 14.
35
2
15. 31
2 16.
39
4
17. 1
42
18. 1
25
19. 1
14
20. 2
13
21. 3
15
22. 7
28
23. 5
16
24. 5
18
25. 3
216
26. 2
113
27. 5
96
28. 1
59
29. 7
18
30. 1
212
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
15 2015 Carreon
31. 1
93
32. 5
13
33. 12 34. 1
48
35. 7
311
36. 1
357
37. 1
34
38. 3
14
39. 1
86
40. 11
115
41. 1 42. 3
2420
43. 3 44. 1
42
45. 1
222
46. 7
78
47. 1
12
48. 1
35
49. 7
1110
50. 31
32
51. 7
1215
52. 5
58
53. 19
32 54. 2
55. 21
5132
56. 7
2115
57. 252cm 58. 2
119
4in
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
16 2015 Carreon
59. 25
208
ft 60. 21
182
yd
61. 21
388
m 62. 237
472
ft
63. 23
14
in 64. 221
6100
cm
65. 217
1072
yd 66. 219
1220
m
67. 7 trips 68. 3
184
yards
69. 3cups 70. 1
853
loads
71. 46bottles 72. 1
4rounds
73. 100 pounds 74. 1
662
cubic yards
75. 10cups 76. 9teaspoons
Section 4.6
1.
: 5
1: 5
5
estimate
actual
2.
: 13
3: 13
5
estimate
actual
3.
: 2
1: 2
4
estimate
actual
4.
:12
1:11
2
estimate
actual
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
17 2015 Carreon
5.
: 4
6: 3
11
estimate
actual
6.
: 4
6: 3
11
estimate
actual
7.
: 15
1: 14
2
estimate
actual
8.
:15
1:14
2
estimate
actual
9.
:3
11:2
12
estimate
actual 10.
:2
13:1
24
estimate
actual
11.
:1
1:1
12
estimate
actual 12.
:5
7:5
12
estimate
actual
13.
: 1
2: 1
5
estimate
actual
14.
:5
3:4
8
estimate
actual
15.
:3
8:3
15
estimate
actual 16.
: 15
7: 14
12
estimate
actual
17.
: 9
37: 9
60
estimate
actual
18.
: 9
17: 8
20
estimate
actual
19.
:2
13:1
15
estimate
actual 20.
: 1
1: 1
3
estimate
actual
21.
: 4
1: 4
4
estimate
actual
22.
:9
3:8
4
estimate
actual
23.
:11
7:10
8
estimate
actual 24.
:2
1:2
42
estimate
actual
25.
:13
5:12
12
estimate
actual 26.
: 5
2: 5
5
estimate
actual
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
18 2015 Carreon
27.
: 4
3: 3
5
estimate
actual
28.
:14
13:14
21
estimate
actual
29.
:16
23:15
24
estimate
actual 30.
: 1
3:
4
estimate
actual
31.
: 4
1: 4
28
estimate
actual
32.
:20
1:19
2
estimate
actual
33.
:19
1:18
2
estimate
actual 34.
:5
3:5
8
estimate
actual
35.
:9
23:8
36
estimate
actual 36.
: 3
5: 3
24
estimate
actual
37.
: 7
19: 7
36
estimate
actual
38.
:0
:0
estimate
actual
39. :0
:0
estimate
actual 40.
: 24
5: 23
8
estimate
actual
41.
:25
1:24
4
estimate m
actual m 42.
:18
11:17
12
estimate d
actual yd
43.
:23
5:23
8
estimate ft
actual ft 44.
:29
1:28
4
estimate yd
actual yd
45.
:22
1:21 ;
6
.
estimate ft
actual ft
Not enough to complete the order
46.
:6
1:6 ;
8
.
estimate yd
actual yd
He did not buy enough fabric
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
19 2015 Carreon
47.
:9
1:9 ;
4
, , .
estimate yd
actual ft
yes she bought enough fabric
48.
:18
1:18 ;
24
, , .
estimate ft
actual ft
No she does not have enough base board
Section 4.7
1. 49
100 2.
16
25
3. 49
100 4.
16
25
5. 8
27 6.
125 515
8 8or
7. 1
32 8.
1
81
9. 64 15
149 49
or 10. 81 1
204 4
or
11. 121 21
425 25
or 12. 36 11
125 25
or
13. 9 1
18 8
or 14. 25 1
64 4
or
15. 1
100 16.
1
100
17. 12
25 18.
25 12
12 2or
19. 13
15 20.
3
4
21. 14 4
25 5
or 22. 5
16
23. 1
15 24.
3 11
2 2or
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
20 2015 Carreon
25. 1
24 26.
1
6
27. 1
3 28.
3
40
29. 4
27 30. 6
31. 8
9 32.
2
3
33. 6 34. 4
35. 48 3
95 5
or 36. 25 1
122 2
or
37. 1
14 38.
11
15
39. 9 40. 21 1
120 20
or
41. 80 2
263 3
or 42. 64 4
125 5
or
43. 7
24 44.
1
2
45. 5
11 46. 5
47. 14 4
25 5
or 48. 1
4
49. 111 11
1100 100
or 50. 15 1
114 4
or
51. 3
28
in 52. 9
110
mi
53. 1
210
mi 54. 1
382
ft
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
21 2015 Carreon
Section 4.8
1. 54x 2. 56n
3. 33n 4. 60x
5. 21
5x 6.
14
9n
7. 16n 8. 20x
9. 5
18x
10.
5
12n
11. 27
5n 12.
50
3x
13. 96n 14. 12x
15. 35
3n
16. 96y
17. 116
3x 18.
2
5n
19. 360y 20. 54u
21. 5
6n
22.
5
8x
23. 15u 24. 36y
25. 16x 26. 3
4n
27. 4y 28. 1
2u
29. 15n 30. 20x
31. 12u 32. 3
2y
33. 102
5x 34. 3n
35. 20y 36. 4u
37. 3n 38. 10x
Math 40 Prealgebra Section 4.1 – 4.8 HOMEWORK KEY
22 2015 Carreon
For problems 39-49 make sure to do the five step word problem method like it is shown in the book.
These are just the answers.
39. 24n 40. 55n
41. 21n 42. 30n
43. 24n 44. 48
36
length m
width m
45. 6
5
length m
width m
46. 12h in
47. 16h ft 48. 8h m
49. 16h yds
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