Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises.
Chapter 1: Review of the Real Number System
1.1 Basic Concepts
1.2 Operations on Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Properties of Real Numbers
Chapter 2: Linear Equations, Inequalities, and Applications
2.1 Linear Equations in One Variable
2.2 Formulas
2.3 Applications of Linear Equations
2.4 Further Applications of Linear Equations
Summary Exercises on Solving Applied Problems
2.5 Linear Inequalities in One Variable
2.6 Set Operations and Compound Inequalities
2.7 Absolute Value Equations and Inequalities
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
Chapter 3: Graphs, Linear Equations, and Functions
3.1 The Rectangular Coordinate System
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
Summary Exercises on Slopes and Equations of Lines
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Functions
Chapter 4: Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations by Matrix Methods
Chapter 5: Exponents, Polynomials, and Polynomial Functions
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Polynomial Functions, Graphs, and Composition
5.4 Multiplying Polynomials
5.5 Dividing Polynomials
Chapter 6: Factoring
6.1 Greatest Common Factors; Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring
Chapter 7: Rational Expressions and Functions
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs
Summary Exercises on Rational Expressions and Equations
7.5 Applications of Rational Expressions
7.6 Variation
Chapter 8: Roots, Radicals, and Root Functions
8.1 Radical Expressions and Graphs
8.2 Rational Exponents
8.3 Simplifying Radical Expressions
8.4 Adding and Subtracting Radical Expressions
8.5 Multiplying and Dividing Radical Expressions
Summary Exercises on Operations with Radicals and Rational Exponents
8.6 Solving Equations with Radicals
8.7 Complex Numbers
Chapter 9: Quadratic Equations and Inequalities
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula
9.3 Equations Quadratic in Form
Summary Exercises on Solving Quadratic Equations
9.4 Formulas and Further Applications
9.5 Quadratic and Rational Inequalities
Chapter 10: Additional Graphs of Functions and Relations
10.1 Review of Operations and Composition
10.2 Graphs of Quadratic Functions
10.3 More about Parabolas and Their Applications
10.4 Symmetry; Increasing and Decreasing Functions
10.5 Piecewise Linear Functions
Chapter 11: Inverse, Exponential, and Logarithmic Functions
11.1 Inverse Functions
11.2 Exponential Functions
11.3 Logarithmic Functions
11.4 Properties of Logarithms
11.5 Common and Natural Logarithms
11.6 Exponential and Logarithmic Equations; Further Applications
Chapter 12: Polynomial and Rational Functions
12.1 Synthetic Division
12.2 Zeros of Polynomial Functions
12.3 Graphs and Applications of Polynomial Functions
Summary Exercises on Polynomial Functions and Graphs
12.4 Graphs and Applications of Rational Functions
Chapter 13: Conic Sections and Systems of Inequalities
13.1 The Circle and the Ellipse
13.2 The Hyperbola and Functions Defined by Radicals
13.3 Nonlinear Systems of Equations
13.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming
Chapter 14: Further Topics in Algebra
14.1 Sequences and Series
14.2 Arithmetic Sequences
14.3 Geometric Sequences
14.4 The Binomial Theorem
14.5 Mathematical Induction
14.6 Counting Theory
14.7 Basics of Probability
Appendixes
A: An Introduction to Calculators
B: Properties of Matrices
C: Matrix Inverses
D: Determinants and Cramer's Rule