Ch 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

Ch 2: Linear Equations, Inequalities, and Applications
2.1: Linear Equations in One Variable
2.2: Formulas and Percent
2.3: Applications of Linear Equations
2.4: Further Applications of Linear Equations
2.5: Linear Inequalities in One Variable
2.6: Set Operations and Compound Inequalities
2.7: Absolute Value Equations and Inequalities

Ch 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
3.4: Linear Inequalities in Two Variables
3.5: Introduction to Relations and Functions
3.6: Function Notation and Linear Functions

Ch 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

Ch 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

Ch 6: Factoring
6.1: Greatest Common Factors and Factoring by Grouping
6.2: Factoring Trinomials
6.3: Special Factoring
6.4: A General Approach to Factoring
6.5: Solving Equations by Factoring

Ch 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
7.5: Applications of Rational Expressions
7.6: Variation

Ch 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
8.6: Solving Equations with Radicals
8.7: Complex Numbers

Ch 9: Quadratic Equations, Inequalities, and Functions
9.1: The Square Root Property and Completing the Square
9.2: The Quadratic Formula
9.3: Equations Quadratic in Form
9.4: Formulas and Further Applications
9.5: Graphs of Quadratic Functions
9.6: More about Parabolas and Their Applications
9.7: Polynomial and Rational Inequalities

Ch 10: Inverse, Exponential, and Logarithmic Functions
10.1: Inverse Functions
10.2: Exponential Functions
10.3: Logarithmic Functions
10.4: Properties of Logarithms
10.5: Common and Natural Logarithms
10.6: Exponential and Logarithmic Equations; Further Applications

Ch 11: Nonlinear Functions, Conics, and Nonlinear Systems
11.1: Additional Graphs of Functions
11.2: The Circle and the Ellipse
11.3: The Hyperbola and Functions Defined by Radicals
11.4: Nonlinear Systems of Equations
11.5: Second-Degree Inequalities and Systems of Inequalities

Ch 12: Sequences and Series
12.1: Sequences and Series
12.2: Arithmetic Sequences
12.3: Geometric Sequences
12.4: The Binomial Theorem