## Description

### Table of contents:

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

Chapter P Summary

Chapter P Review Exercises

Chapter P Practice Test A

Chapter P Practice Test B

1. Equations and Inequalities

1.1 Linear Equations in One Variable

1.2 Quadratic Equations

1.3 Complex Numbers: Quadratic Equations with Complex Solutions

1.4 Solving Other Types of Equations

1.5 Inequalities

1.6 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 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 Exercises- 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 Variation

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Practice Test A

Chapter 3 Practice Test B

Cumulative Review Exercises- Chapters P-3

4. Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Rules of Logarithms

4.4 Exponential and Logarithmic Equations and Inequalities

4.5 Logarithmic Scales

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Practice Test A

Chapter 4 Practice Test B

Cumulative Review Exercises- Chapters P-4

5. Trigonometric Functions

5.1 Angles and Their Measure

5.2 Right-Triangle Trigonometry

5.3 Trigonometric Functions of Any Angle; The Unit Circle

5.4 Graphs of the Sine and Cosine Functions

5.5 Graphs of the Other Trigonometric Functions

5.6 Inverse Trigonometric Functions

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Practice Test A

Chapter 5 Practice Test B

Cumulative Review Exercises- Chapters P-5

6. Trigonometric Identities and Equations

6.1 Verifying Identities

6.2 Sum and Difference Formulas

6.3 Double-Angle and Half-Angle Formulas

6.4 Product-to-Sum and Sum-to-Product Formulas

6.5 Trigonometric Equations I

6.6 Trigonometric Equations II

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Practice Test A

Chapter 6 Practice Test B

Cumulative Review Exercises- Chapters P-6

7. Applications of Trigonometric Functions

7.1 The Law of Sines

7.2 The Law of Cosines

7.3 Areas of Polygons Using Trigonometry

7.4 Vectors

7.5 The Dot Product

7.6 Polar Coordinates

7.7 Polar Form of Complex Numbers; DeMoivre’s Theorem

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Practice Test A

Chapter 7 Practice Test B

Cumulative Review Exercises- Chapters P-7

8. Systems of Equations and Inequalities

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial-Fraction Decomposition

8.4 Systems of Nonlinear Equations

8.5 Systems of Inequalities

8.6 Linear Programming

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Practice Test A

Chapter 8 Practice Test B

Cumulative Review Exercises- Chapters P-8

9. Matrices and Determinants

9.1 Matrices and Systems of Equations

9.2 Matrix Algebra

9.3 The Matrix Inverse

9.4 Determinants and Cramer’s Rule

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Practice Test A

Chapter 9 Practice Test B

Cumulative Review Exercises- Chapters P-9

10. Conic Sections

10.1 Conic Sections: Overview

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Practice Test A

Chapter 10 Practice Test B

Cumulative Review Exercises- Chapters P-10

11. Further Topics in Algebra

11.1 Sequences and Series

11.2 Arithmetic Sequences; Partial Sums

11.3 Geometric Sequences and Series

11.4 Mathematical Induction

11.5 The Binomial Theorem

11.6 Counting Principles

11.7 Probability

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Practice Test A

Chapter 11 Practice Test B

Cumulative Review Exercises- Chapters P-11