INSTRUCTOR’S
SOLUTIONS MANUAL
for
TE
College Algebra with
ST
Intermediate Algebra: A
Blended Course, 1st edition
SO
By Judith Beecher, Judith
LU
Penna
TI
(All Chapters 1-12, 100%
O
Original
N
Verified, A+ Grade)
, Contents
Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . .1
TE
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . 17
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 45
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 77
ST
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 175
SO
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 199
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 255
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 341
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 403
LU
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 455
Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . 509
TI
O
N
,Chapter R
Review of Basic Algebra
46. True, since −7 = −7 is true.
Exercise Set R.1 1
48. True, since −11 > −13 is true.
2
TE
RC2. The correct answer is (b). See page R-2 in the text.
50. x < −1
RC4. The correct answer is (f). See page R-3 in the text.
⫺1 0
RC6. The correct answer is (d). See page R-4 in the text.
√ 52. x ≥ −1
2. 0, 1, 12, 25
⫺1 0
√
ST
12
4. −6, 0, 1, −4, 12, 25, −
3 54. x < 0
√
6. 3, 0.131331333133331 . . .
0
8. 12
56. x ≤ 0
11 7
10. −3.43, −11, 12, 0, ,−
SO
34 13
0
12. All of them
58. 3
14. {s, o, l, v, e}
60. 16
16. {1, 3, 5, 7, 9, 11}
62. 127
18. {−3, −2, −1}
13
LU
64.
20. {x|x is an integer greater than 3 and less than 11} 8
66. 16.4
22. {x|x is a rational number or x is an irrational number}, or
{x|x is a real number} 68. 465
24. {x|x is a real number and x ≤ 21}, or {x|x ≤ 21} 0
70. = |0| = 0
−15
TI
26. 18 > 0
72. | − 5| ≥ | − 2|
28. 7 > −7
74. | − 8| ≤ |8|, or | − 8| ≥ |8| since | − 8| = |8|
30. 0 > −11
O
32. −6 < −3 Exercise Set R.2
34. −7 > −10
RC2. The opposite of a negative number is positive.
N
1 11
36. −13 <
5 250 RC4. The absolute value of a negative number is positive.
38. −13.99 < −8.45 RC6. The sum of 0 and a negative number is negative.
14 27
40. − = −0.933 . . . and − = −0.509433962 . . . , so RC8. The quotient of a negative number and a positive num-
15 53
14 27 ber is negative.
− <− .
15 53 2. −25
42. 7 > x
4. 2
2
44. t ≤ 10 6. −12
3
Copyright
c 2017 Pearson Education, Inc.
, 2 Chapter R: Review of Basic Algebra
8. −3 55
68. −
12
10. −10
70. 3
12. −32
72. 432
14. 1.9
74. 71.04
16. −11.19 65
76.
2 14
18. −
7 64
TE
78. −
5 125
20. −
4 80. −8
3 1 6 1 5 82. −9
22. − + = − + = −
4 8 8 8 8
5 7 20 21 41 84. 8
24. − + − =− + − =−
ST
6 8 24 24 24 86. 0.7
26. 9
88. Not defined
28. 0
90. 0
2
30.
3 92. Not defined
SO
32. 2x 10
94.
9
34. −5
6
96. −
36. −20 5
1
38. 46 98. −
65
LU
40. 0 1
100.
42. 5 0.8
This can also be expressed as follows:
44. 44 1 1 10 10 5
= · = = , or 1.25
0.8 0.8 10 8 4
46. −17.7
102. 8x
TI
48. −34.8 3 6 3 7 7
104. ÷ − = · − =−
13 5 7 5 6 10
50. −
5 12 3 12 10
106. − ÷ − =− · − =8
7 5 7 20 13 5 10 5 3
52. − − − =− +
O
=
8 2 8 8 8 108. −3
2 4 10 12 22
54. − − = − + − =− 110. 110
3 5 15 15 15
4 5
N
36 35 1 112. −4000
56. − − − =− + =−
7 9 63 63 63 5 1 5 2 5
114. ÷ − = · − =−
58. −40 8 2 8 1 4
60. −45 5 5 5 6 2
116. − ÷ − =− · − =
9 6 9 5 3
62. 35 3 5 3 8 24
118. − ÷ − =− · − =
64. −152 5 8 5 5 25
5 5 5 6 3
66. 42.7 120. − ÷ − =− · − =
8 6 8 5 4
Copyright
c 2017 Pearson Education, Inc.
SOLUTIONS MANUAL
for
TE
College Algebra with
ST
Intermediate Algebra: A
Blended Course, 1st edition
SO
By Judith Beecher, Judith
LU
Penna
TI
(All Chapters 1-12, 100%
O
Original
N
Verified, A+ Grade)
, Contents
Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . .1
TE
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . 17
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 45
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 77
ST
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 175
SO
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 199
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 255
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 341
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 403
LU
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 455
Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . 509
TI
O
N
,Chapter R
Review of Basic Algebra
46. True, since −7 = −7 is true.
Exercise Set R.1 1
48. True, since −11 > −13 is true.
2
TE
RC2. The correct answer is (b). See page R-2 in the text.
50. x < −1
RC4. The correct answer is (f). See page R-3 in the text.
⫺1 0
RC6. The correct answer is (d). See page R-4 in the text.
√ 52. x ≥ −1
2. 0, 1, 12, 25
⫺1 0
√
ST
12
4. −6, 0, 1, −4, 12, 25, −
3 54. x < 0
√
6. 3, 0.131331333133331 . . .
0
8. 12
56. x ≤ 0
11 7
10. −3.43, −11, 12, 0, ,−
SO
34 13
0
12. All of them
58. 3
14. {s, o, l, v, e}
60. 16
16. {1, 3, 5, 7, 9, 11}
62. 127
18. {−3, −2, −1}
13
LU
64.
20. {x|x is an integer greater than 3 and less than 11} 8
66. 16.4
22. {x|x is a rational number or x is an irrational number}, or
{x|x is a real number} 68. 465
24. {x|x is a real number and x ≤ 21}, or {x|x ≤ 21} 0
70. = |0| = 0
−15
TI
26. 18 > 0
72. | − 5| ≥ | − 2|
28. 7 > −7
74. | − 8| ≤ |8|, or | − 8| ≥ |8| since | − 8| = |8|
30. 0 > −11
O
32. −6 < −3 Exercise Set R.2
34. −7 > −10
RC2. The opposite of a negative number is positive.
N
1 11
36. −13 <
5 250 RC4. The absolute value of a negative number is positive.
38. −13.99 < −8.45 RC6. The sum of 0 and a negative number is negative.
14 27
40. − = −0.933 . . . and − = −0.509433962 . . . , so RC8. The quotient of a negative number and a positive num-
15 53
14 27 ber is negative.
− <− .
15 53 2. −25
42. 7 > x
4. 2
2
44. t ≤ 10 6. −12
3
Copyright
c 2017 Pearson Education, Inc.
, 2 Chapter R: Review of Basic Algebra
8. −3 55
68. −
12
10. −10
70. 3
12. −32
72. 432
14. 1.9
74. 71.04
16. −11.19 65
76.
2 14
18. −
7 64
TE
78. −
5 125
20. −
4 80. −8
3 1 6 1 5 82. −9
22. − + = − + = −
4 8 8 8 8
5 7 20 21 41 84. 8
24. − + − =− + − =−
ST
6 8 24 24 24 86. 0.7
26. 9
88. Not defined
28. 0
90. 0
2
30.
3 92. Not defined
SO
32. 2x 10
94.
9
34. −5
6
96. −
36. −20 5
1
38. 46 98. −
65
LU
40. 0 1
100.
42. 5 0.8
This can also be expressed as follows:
44. 44 1 1 10 10 5
= · = = , or 1.25
0.8 0.8 10 8 4
46. −17.7
102. 8x
TI
48. −34.8 3 6 3 7 7
104. ÷ − = · − =−
13 5 7 5 6 10
50. −
5 12 3 12 10
106. − ÷ − =− · − =8
7 5 7 20 13 5 10 5 3
52. − − − =− +
O
=
8 2 8 8 8 108. −3
2 4 10 12 22
54. − − = − + − =− 110. 110
3 5 15 15 15
4 5
N
36 35 1 112. −4000
56. − − − =− + =−
7 9 63 63 63 5 1 5 2 5
114. ÷ − = · − =−
58. −40 8 2 8 1 4
60. −45 5 5 5 6 2
116. − ÷ − =− · − =
9 6 9 5 3
62. 35 3 5 3 8 24
118. − ÷ − =− · − =
64. −152 5 8 5 5 25
5 5 5 6 3
66. 42.7 120. − ÷ − =− · − =
8 6 8 5 4
Copyright
c 2017 Pearson Education, Inc.