- Chapter R: Review of Basic Concepts
- Section R.1: Fractions, Decimals, and Percents
- Section R.2: Sets and Real Numbers
- Section R.3: Real Number Operations and Properties
- Section R.4: Integer and Rational Exponents
- Section R.5: Polynomials
- Section R.6: Factoring Polynomials
- Section R.7: Rational Expressions
- Section R.8: Radical Expressions

- Chapter 1: Equations and Inequalities
- Section 1.1: Linear Equations
- Section 1.2: Applications and Modeling with Linear Equations
- Section 1.3: Complex Numbers
- Section 1.4: Quadratic Equations
- Section 1.5: Applications and Modeling with Quadratic Equations
- Section 1.6: Other Types of Equations and Applications
- Section 1.7: Inequalities
- Section 1.8: Absolute Value Equations and Inequalities

- Chapter 2: Graphs and Functions
- Section 2.1: Rectangular Coordinates and Graphs
- Section 2.2: Circles
- Section 2.3: Functions
- Section 2.4: Linear Functions
- Section 2.5: Equations of Lines and Linear Models
- Section 2.6: Graphs of Basic Functions
- Section 2.7: Graphing Techniques
- Section 2.8: Function Operations and Composition

- Chapter 3: Polynomial and Rational Functions
- Section 3.1: Quadratic Functions and Models
- Section 3.2: Synthetic Division
- Section 3.3: Zeros of Polynomial Functions
- Section 3.4: Polynomial Functions: Graphs, Applications, and Models
- Section 3.5: Rational Functions: Graphs, Applications, and Models
- Section 3.6: Polynomial and Rational Inequalities
- Section 3.7: Variation

- Chapter 4: Inverse, Exponential, and Logarithmic Functions
- Section 4.1: Inverse Functions
- Section 4.2: Exponential Functions
- Section 4.3: Logarithmic Functions
- Section 4.4: Evaluating Logarithms and the Change-of-Base Theorem
- Section 4.5: Exponential and Logarithmic Equations
- Section 4.6: Applications and Models of Exponential Growth and Decay

- Chapter 5: Systems and Matrices
- Section 5.1: Systems of Linear Equations
- Section 5.2: Matrix Solution of Linear Systems
- Section 5.3: Determinant Solution of Linear Systems
- Section 5.4: Partial Fractions
- Section 5.5: Nonlinear Systems of Equations
- Section 5.6: Systems of Inequalities and Linear Programming
- Section 5.7: Properties of Matrices
- Section 5.8: Matrix Inverses

- Chapter 6: Analytic Geometry
- Section 6.1: Parabolas
- Section 6.2: Ellipses
- Section 6.3: Hyperbolas
- Section 6.4: Summary of the Conic Sections

- Chapter 7: Further Topics in Algebra
- Section 7.1: Sequences and Series
- Section 7.2: Arithmetic Sequences and Series
- Section 7.3: Geometric Sequences and Series
- Section 7.4: The Binomial Theorem
- Section 7.5: Mathematical Induction
- Section 7.6: Basics of Counting Theory
- Section 7.7: Basics of Probability

Exercises R.1.1 -