Chapter 1. Variables, Real Numbers, and Mathematical Models
1.1 Introduction to Algebra: Variables and Mathematical Models
1.2 Fractions in Algebra
1.3 The Real Numbers
1.4 Basic Rules of Algebra
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents and Order of Operations

Chapter 2. Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations
2.4 Formulas and Percents
2.5 An Introduction to Problem Solving
2.6 Problem Solving in Geometry
2.7 Solving Linear Inequalities

Chapter 3. Linear Equations and Inequalities in Two Variables
3.1 Graphing Linear Equations in Two Variables
3.2 Graphing Linear Equations Using Intercepts
3.3 Slope
3.4 The Slope-Intercept Form of the Equation of a Line
3.5 The Point-Slope Form of the Equation of a Line
3.6 Linear Inequalities in Two Variables

Chapter 4. Systems of Linear Equations and Inequalities
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by the Substitution Method
4.3 Solving Systems of Linear Equations by the Addition Method
4.4 Problem Solving Using Systems of Equations
4.5 Systems of Linear Inequalities

Chapter 5. Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Multiplying Polynomials
5.3 Special Products
5.4 Polynomials in Several Variables
5.5 Dividing Polynomials
5.6 Dividing Polynomials by Binomials
5.7 Negative Exponents and Scientific Notation

Chapter 6. Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials Whose Leading Coefficient is 1
6.3 Factoring Trinomials Whose Leading Coefficient is Not 1
6.4 Factoring Special Forms
6.5 A General Factoring Strategy
6.6 Solving Quadratic Equations by Factoring

Chapter 7. Rational Expressions
7.1 Rational Expressions and Their Simplification
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Modeling Using Variation

Chapter 8. Roots and Radicals
8.1 Finding Roots
8.2 Multiplying and Dividing Radicals
8.3 Operations with Radicals
8.4 Rationalizing the Denominator
8.5 Radical Equations
8.6 Rational Exponents

Chapter 9. Quadratic Equations and Introduction to Functions
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 The Quadratic Formula
9.4 Imaginary Numbers as Solutions of Quadratic Equations
9.5 Graphs of Quadratic Equations
9.6 Introduction to Functions