Instructor's Solutions Manual for College Algebra, 12th edition by Michael Sullivan, Chapter 1-10 | All Chapters

INSTRUCTOR’S SOLUTIONS
MANUAL
College Algebra, 12th edition
By Michael Sullivan
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PR
ES
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R
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, Table of Content
R. Review
R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
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R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
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1. Equations and Inequalities
1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers; Quadratic Equations in the Complex Number System
1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations
1.5 Solving Inequalities
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1.6 Equations and Inequalities Involving Absolute Value
1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
Chapter 1 Review, Test, and Projects
2. Graphs
2.1 The Distance and Midpoint Formulas
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2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
2.3 Lines
2.4 Circles
2.5 Variation
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Chapter 2 Review, Test, and Projects
3. Functions and Their Graphs
3.1 Functions
3.2 The Graph of a Function
3.3 Properties of Functions
3.4 Library of Functions; Piecewise-defined Functions
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3.5 Graphing Techniques: Transformations
3.6 Mathematical Models: Building Functions
Chapter 3 Review, Test, and Projects
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4. Linear and Quadratic Functions
4.1 Properties of Linear Functions and Linear Models
4.2 Building Linear Models from Data
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4.3 Quadratic Functions and Their Properties
4.4 Build Quadratic Models from Verbal Descriptions and from Data
4.5 Inequalities Involving Quadratic Functions
Chapter 4 Review, Test, and Projects
5. Polynomial and Rational Functions
5.1 Polynomial Functions
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5.2 Graphing Polynomials Functions; Models
5.3 Properties of Rational Functions
5.4 The Graph of a Rational Function
5.5 Polynomial and Rational Inequalities
5.6 The Real Zeros of a Polynomial Function
Chapter 5 Review, Test, and Projects
6. Exponential and Logarithmic Functions

, 6.1 Composite Functions
6.2 One-to-One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Financial Models
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6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay
Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter 6 Review, Test, and Projects
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7. Analytic Geometry
7.1 Conics
7.2 The Parabola
7.3 The Ellipse
7.4 The Hyperbola
Chapter 7 Review, Test, and Projects
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8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations: Substitution and Elimination
8.2 Systems of Linear Equations: Matrices
8.3 Systems of Linear Equations: Determinants
8.4 Matrix Algebra
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8.5 Partial Fraction Decomposition
8.6 Systems of Nonlinear Equations
8.7 Systems of Inequalities
8.8 Linear Programming
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Chapter 8 Review, Test, and Projects
9. Sequences; Induction; the Binomial Theorem
9.1 Sequences
9.2 Arithmetic Sequences
9.3 Geometric Sequences; Geometric Series
9.4 Mathematical Induction
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9.5 The Binomial Theorem
Chapter 9 Review, Test, and Projects
10. Counting and Probability
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10.1 Counting
10.2 Permutations and Combinations
10.3 Probability
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Chapter 10 Review, Test, and Projects
Appendix: Graphing Utilities
A.1 The Viewing Rectangle
A.2 Using a Graphing Utility to Graph Equations
A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
A.4 Using a Graphing Utility to Solve Equations
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A.5 Square Screens
A.6 Using a Graphing Utility to Graph Inequalities
A.7 Using a Graphing Utility to Solve Systems of Linear Equations

, Chapter R
Review
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Section R.1 16. ( A  B)  C
 1, 3, 4,5, 9  2, 4, 6, 7,8   1,3, 4, 6
1. rational
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 4  1, 3, 4, 6
2. 4  5  6  3  4  30  3  31
 1,3, 4, 6
3. Distributive
17. A  0, 2, 6, 7, 8
4. c
18. C  0, 2, 5, 7, 8, 9
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5. a

6. b 19. A  B  1, 3, 4, 5, 9  2, 4, 6, 7, 8
7. True  4  0, 1, 2, 3, 5, 6, 7, 8, 9
8. False; The Zero-Product Property states that if a
20. B  C  2, 4, 6, 7, 8  1, 3, 4, 6
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product equals 0, then at least one of the factors
must equal 0.
 1, 2, 3, 4, 6, 7, 8  0, 5, 9
9. False; 6 is the Greatest Common Factor of 12
and 18. The Least Common Multiple is the 21. A  B  0, 2, 6, 7, 8  0, 1, 3, 5, 9
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smallest value that both numbers will divide
 0, 1, 2, 3, 5, 6, 7, 8, 9
evenly. The LCM for 12 and 18 is 36.

10. True 22. B  C  0, 1, 3, 5, 9  0, 2, 5, 7, 8, 9
 0, 5, 9
11. A  B  1, 3, 4,5, 9  2, 4, 6, 7,8
 1, 2,3, 4, 5, 6, 7,8, 9
23. a. 2,5
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12. A  C  1, 3, 4,5, 9  1, 3, 4, 6 b. 6, 2,5
 1, 3, 4, 5, 6, 9
 1

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c. 6, , 1.333...  1.3, 2,5
2
13. A  B  1, 3, 4,5, 9  2, 4, 6, 7,8  4
d.  
14. A  C  1, 3, 4,5, 9  1, 3, 4, 6  1, 3, 4
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15. ( A  B)  C
e.  1
6, , 1.333...  1.3,  , 2,5
2 
 1, 3, 4,5, 9  2, 4, 6, 7,8   1,3, 4, 6 24. a. 1
 1, 2,3, 4,5, 6, 7,8,9  1,3, 4, 6
b. 0,1
 1, 3, 4, 6
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c.  5
 , 2.060606...  2.06,1.25, 0,1
3 
d.  5
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