**1. Review of Real Numbers**

- 1.1 Study Skill Tips for Success in Mathematics
- 1.2 Symbols and Sets of Numbers
- 1.3 Fractions and Mixed Numbers
- 1.4 Exponents, Order of Operations, Variable Expressions and Equations
- 1.5 Adding Real Numbers
- 1.6 Subtracting Real Numbers
- 1.7 Multiplying and Dividing Real Numbers
- 1.8 Properties of Real Numbers

**2. Equations, Inequalities, and Problem Solving**

- 2.1 Simplifying Algebraic Expressions
- 2.2 The Addition and Multiplication Properties of Equality
- 2.3 Solving Linear Equations
- 2.4 An Introduction to Problem Solving
- 2.5 Formulas and Problem Solving
- 2.6 Percent and Mixture Problem Solving
- 2.7 Further Problem Solving
- 2.8 Solving Linear Inequalities

**3. Graphing**

- 3.1 Reading Graphs and the Rectangular Coordinate System
- 3.2 Graphing Linear Equations
- 3.3 Intercepts
- 3.4 Slope and Rate of Change
- 3.5 Equation of Lines
- 3.6 Functions

**4. Solving Systems of Linear Equations**

- 4.1 Solving Systems of Linear Equations by Graphing
- 4.2 Solving Systems of Linear Equations by Substitution
- 4.3 Solving Systems of Linear Equations by Addition
- 4.4 Solving Systems of Linear Equations in Three Variables
- 4.5 Systems of Linear Equations and Problem Solving

**5. Exponents and Polynomials**

- 5.1 Exponents
- 5.2 Polynomial Functions and Adding and Subtracting Polynomials
- 5.3 Multiplying Polynomials
- 5.4 Special Products
- 5.5 Negative Exponents and Scientific Notation
- 5.6 Dividing Polynomials
- 5.7 Synthetic Division and the Remainder Theorem

**6. Factoring Polynomials**

- 6.1 The Greatest Common Factor and Factoring by Grouping
- 6.2 Factoring Trinomials of the Form
*x*^{2}*+ bx + c* - 6.3 Factoring Trinomials of the Form
*ax*^{2}*+ bx + c*and Perfect Square Trinomials - 6.4 Factoring Trinomials of the Form
*ax*^{2}*+ bx + c*by Grouping - 6.5 Factoring Binomials
- 6.6 Solving Quadratic Equations by Factoring
- 6.7 Quadratic Equations and Problem Solving

**7. Rational Expressions**

- 7.1 Rational Functions and Simplifying Rational Expressions
- 7.2 Multiplying and Dividing Rational Expressions
- 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator
- 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators
- 7.5 Solving Equations Containing Rational Expressions
- 7.6 Proportion and Problem Solving with Rational Equations
- 7.7 Simplifying Complex Fractions

**8. More on Functions and Graphs**

- 8.1 Graphing and Writing Linear Functions
- 8.2 Reviewing Function Notation and Graphing Nonlinear Functions
- 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
- 8.4 Variation and Problem Solving

**9. Inequalities and Absolute Value**

- 9.1 Compound Inequalities
- 9.2 Absolute Value Equations
- 9.3 Absolute Value Inequalities
- 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**10. Rational Exponents, Radicals, and Complex Numbers**

- 10.1 Radicals and Radical Functions
- 10.2 Rational Exponents
- 10.3 Simplifying Radical Expressions
- 10.4 Adding, Subtracting, and Multiplying Radical Expressions
- 10.5 Rationalizing Denominators and Numerators of Radical Expressions
- 10.6 Radical Equations and Problem Solving
- 10.7 Complex Numbers

**11. Quadratic Equations and Functions**

- 11.1 Solving Quadratic Equations by Completing the Square
- 11.2 Solving Quadratic Equations by the Quadratic Formula
- 11.3 Solving Equations by Using Quadratic Methods
- 11.4 Nonlinear Inequalities in One Variable
- 11.5 Quadratic Functions and Their Graphs
- 11.6 Further Graphing of Quadratic Functions

**12. Exponential and Logarithmic Functions**

- 12.1 The Algebra of Functions; Composite Functions
- 12.2 Inverse Functions
- 12.3 Exponential Functions
- 12.4 Exponential Growth and Decay Functions
- 12.5 Logarithmic Functions
- 12.6 Properties of Logarithms
- 12.7 Common Logarithms, Natural Logarithms, and Change of Base
- 12.8 Exponential and Logarithmic Equations and Problem Solving

**13. Conic Sections**

- 13.1 The Parabola and the Circle
- 13.2 The Ellipse and the Hyperbola
- 13.3 Solving Nonlinear Systems of Equations
- 13.4 Nonlinear Inequalities and Systems of Inequalities

**14. Sequences, Series, and the Binomial Theorem**

- 14.1 Sequences
- 14.2 Arithmetic and Geometric Sequences
- 14.3 Series
- 14.4 Partial Sums of Arithmetic and Geometric Sequences
- 14.5 The Binomial Theorem