P. Basic Concepts of Algebra

P.1 The Real Numbers and Their Properties

P.2 Integer Exponents and Scientific Notation

P.3 Polynomials

P.4 Factoring Polynomials

P.5 Rational Expressions

P.6 Rational Exponents and Radicals

P.7 Topics in Geometry

            Chapter P Summary

            Chapter P Review Exercises

            Chapter P Practice Test

1. Equations and Inequalities

1.1 Linear Equations in One Variable

1.2 Applications of Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Solving Other Types of Equations

1.6 Linear Inequalities

1.7 Equations and Inequalities Involving Absolute Value

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Practice Test A

            Chapter 1 Practice Test B

2. Graphs and Functions

2.1 The Coordinate Plane

2.2 Graphs of Equations

2.3 Lines

2.4 Relations and Functions

2.5 Properties of Functions

2.6 A Library of Functions

2.7 Transformations of Functions

2.8 Combining Functions; Composite Functions

2.9 Inverse Functions

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Practice Test A

            Chapter 2 Practice Test B

            Cumulative Review Chapters P–2

3. Polynomial and Rational Functions

3.1 Quadratic Functions

3.2 Polynomial Functions

3.3 Dividing Polynomials

3.4 The Real Zeros of a Polynomial Function

3.5 The Complex Zeros of a Polynomial Function

3.6 Rational Functions

3.7 Polynomial and Rational Inequalities

3.8 Variation

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Practice Test A

            Chapter 3 Practice Test B

            Cumulative Review Chapters P–3

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 The Natural Exponential Function

4.3 Logarithmic Functions

4.4 Rules of Logarithms

4.5 Exponential and Logarithmic Equations

            Chapter 4 Summary

            Chapter 4 Review Exercises

            Chapter 4 Practice Test A

            Chapter 4 Practice Test B

            Cumulative Review Chapters P–4

5. Systems of Equations and Inequalities

5.1 Systems of Linear Equations in Two Variables

5.2 Systems of Linear Equations in Three Variables

5.3 Systems of Nonlinear Equations

5.4 Systems of Inequalities

5.5 Linear Programming

5.6 Partial-Fraction Decomposition

            Chapter 5 Summary

            Chapter 5 Review Exercises

            Chapter 5 Practice Test A

            Chapter 5 Practice Test B

            Cumulative Review Chapters P–5

6. Matrices and Determinants

6.1 Matrices and Systems of Equations

6.2 Matrix Algebra

6.3 The Matrix Inverse

6.4 Determinants and Cramer's Rule

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Practice Test A

            Chapter 6 Practice Test B

            Cumulative Review Chapters P–6

7. Conic Sections

7.1 Conic Sections: Overview

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Practice Test A

            Chapter 7 Practice Test B

            Cumulative Review Chapters P–7

8. Further Topics in Algebra

8.1 Sequences and Series

8.2 Arithmetic Sequences; Partial Sums

8.3 Geometric Sequences and Series

8.4 Mathematical Induction

8.5 The Binomial Theorem

8.6 Counting Principles

8.7 Probability

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Practice Test A

            Chapter 8 Practice Test B

            Cumulative Review Chapters P–8

Answers to Selected Exercises

Credits

Index of Applications

Index

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