Instructor's Solutions Manual for Elementary and Intermediate Algebra: Concepts and Applications, 8th edition (Marvin Bittinger, 2023), Chapter 1-14 | All Chapters

INSTRUCTOR’S SOLUTIONS MANUAL
Elementary and Intermediate Algebra: Concepts and Applications, 8th
edition
by Marvin Bittinger, David Ellenbogen
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, TABLE OF CONTENT
JUST-IN-TIME REVIEW ................................................................................................1

CHAPTER 1 INTRODUCTION TO ALGEBRAIC EXPRESSIONS .....................7

CHAPTER 2 EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING ....39

CHAPTER 3 INTRODUCTION TO GRAPHING ................................................97

CHAPTER 4 POLYNOMIALS ...........................................................................159
CHAPTER 5 POLYNOMIALS AND FACTORING ..........................................206
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CHAPTER 6 RATIONAL EXPRESSIONS AND EQUATIONS .......................255

CHAPTER 7 FUNCTIONS AND GRAPHS ........................................................319

CHAPTER 8 SYSTEMS OF LINEAR EQUATIONS AND

PROBLEM SOLVING ...................................................................355
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CHAPTER 9 INEQUALITIES AND PROBLEM SOLVING .............................432

CHAPTER 10 EXPONENTS AND RADICALS...................................................477
CHAPTER 11 QUADRATIC FUNCTIONS AND EQUATIONS ........................528
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CHAPTER 12 EXPONENTIAL FUNCTIONS AND

LOGARITHMIC FUNCTIONS .....................................................602

CHAPTER 13 CONIC SECTIONS ........................................................................655
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CHAPTER 14 SEQUENCES, SERIES, AND THE

BINOMIAL THEOREM ................................................................694
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,Just-in-Time Review

1 Prime Factorizations 9. 15  35
40  2  2  2  5
60  2  2  3  5
1. 33  3  11 The GCF of 15, 40, and 60 is 5.
The prime factorization is 3  11.
10. 70  2  5  7
2. 121  11  11 105  3  5  7
The prime factorization is 11  11. 350  2  5  5  7
The GCF of 70, 105, and 350 is 5  7, or 35.
3. 18  2  9  2  3  3
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The prime factorization is 2  3  3.
3 Least Common Multiple
4. 56  2  28  2  2  14  2  2  2  7
The prime factorization is 2  2  2  7. 1. 24  2  2  2  3
27  3  3  3
5. 120  2  60  2  2  30  2  2  2  15  2  2  2  3  5 The LCM of 24 and 27 is 2  2  2  3  3  3, or 216.
The prime factorization is 2  2  2  3  5.
2. 33
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6. 90  2  45  2  3  15  2  3  3  5 15  3  5
The prime factorization is 2  3  3  5. The LCM of 3 and 15 is 3  5, or 15.
7. 210  2  105  2  3  35  2  3  5  7 3. 50  2  5  5
The prime factorization is 2  3  5  7. 60  2  2  3  5
8. 91  7  13 The LCM of 50 and 60 is 2  2  3  5  5, or 300.
The prime factorization is 7  13. 4. 13  13
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23  23
2 Greatest Common Factor The LCM of 13 and 23 is 13  23, or 299.

1. 36  2  2  33 5. 45  3  3  5
48  2  2  2  2  2  3 72  2  2  2  3  3
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The GCF of 36 and 48 is 2  2  3, or 12. The LCM of 45 and 72 is 2  2  2  3  3  5, or 360.

2. 13  13 6. 30  2  3  5
52  2  2  13 36  2  2  3  3
The GCF of 13 and 52 is 13. The LCM of 30 and 36 is 2  2  3  3  5, or 180.

3. 27  333 7. 12  2  2  3
40  2  2  2  5 28  2  2  7
The GCF of 27 and 40 is 1. The LCM of 12 and 28 is 2  2  3  7, or 84.
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4. 54  2  3  3  3 8. 8  222
180  2  2  3  3  5 16  2  2  2  2
The GCF of 54 and 180 is 2  3  3, or 18. 22  2  11
5. 18  2  3  3 The LCM of 8, 16, and 22 is 2  2  2  2  11, or 176.
66  2  3  11 9. 55
The GCF of 18 and 66 is 2  3, or 6. 12  2  2  3
15  3  5
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6. 30  2  3  5
135  3  3  3  5 The LCM of 5, 12, and 15 is 2  2  3  5, or 60.
The GCF of 30 and 135 is 3  5, or 15. 10. 24  2  2  2  3
35  5  7
7. 40  2  2  2  5
45  3  3  5
220  2  2  5  11
The LCM of 24, 35, and 45 is
The GCF of 40 and 220 is 2  2  5, or 20.
2  2  2  3  3  5  7, or 2520.
8. 14  2  7
42  2  3  7
The GCF of 14 and 42 is 2  7, or 14.



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, 2 Just-in-Time Review


4 Equivalent Expressions and Fraction 6 Converting from Decimal Notation to
Notation Fraction Notation

1. 7  1  7  3  21 1. 5.3  53 1 place, 1 zero
8 8 3 24 10

2. 5  1  5  8  40 2. 0.67  67 2 places, 2 zeros
6 6 8 48 100

3. 5  1  5  4  20 40,008
3. 4.0008  4 places, 4 zeros
4 4 4 16 10,000
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4. 2  1  2  6  12 4. 1122.3 
11, 223
1 place, 1 zero
9 9 6 54 10

5. 3  1  3  7  21 14,703
11 11 7 77 5. 14.703  3 places, 3 zeros
1000
6. 13  1  13  5  65 6. 0.9  9 1 place, 1 zero
16 16 5 80 10
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5 Mixed Numerals 7. 183.42 
18,342
2 places, 2 zeros
100
1. 5 2  17 3  5  15, 15  2  17 6
3 3 8. 0.006  3 places, 3 zeros
1000
2. 9 1  91 10  9  90, 90  1  91
10 10 7 Adding and Subtracting Decimal
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Notation
3. 30 4  154 5  30  150, 150  4  154
5 5
1 1
1. 415.78
4. 1 5  13 8  1  8, 8  5  13 + 29.16
8 8
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444.94
5. 66 2  200 3  66  198, 198  2  200 2
3 3
2. 35.000
3 7.214
6. 18  5 18  18  3 3 + 128.630
5 15 5 5 170.844
3
22 1
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3. 17.95
4
16.99
7. 29  6 29  29  4 5
6 6 6 + 28.85
24
63.79
5
1
5 4. 0.600
8. 57  10 57  57  5 7 2000.430
10 50 10 10
+ 7.213
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7 2008.243
13 7 10 10 10
9. 40  3 40  40  13 1 5. 7 8 .1 1 0
3 39 3 3
 4 5 .8 7 6
1 3 2 .2 3 4
7
10. 757  100 757  757  7 57
100 700 100 100
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