1. Real Numbers and Algebraic Expressions

• 1.1 Study Skill Tips for Success in Mathematics

• 1.2 Algebraic Expressions and Sets of Numbers

• 1.3 Operations on Real Numbers and Order of Operations

• Integrated Review: Algebraic Expressions and Operations on Whole Numbers

• 1.4 Properties of Real Numbers and Algebraic Expressions

2. Equations, Inequalities, and Problem Solving

• 2.1 Linear Equations in One Variable

• 2.2 An Introduction to Problem Solving

• 2.3 Formulas and Problem Solving

• 2.4 Linear Inequalities and Problem Solving

• Integrated Review: Linear Equations and Inequalities

• 2.5 Compound Inequalities

• 2.6 Absolute Value Equations

• 2.7 Absolute Value Inequalities

3. Graphs and Functions

• 3.1 Graphing Equations

• 3.2 Introduction to Functions

• 3.3 Graphing Linear Functions

• 3.4 The Slope of a Line

• 3.5 Equations of Lines

• Integrated Review: Linear Equations in Two Variables

• 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions

• 3.7 Graphing Linear Inequalities

4. Systems of Equations

• 4.1 Solving Systems of Linear Equations in Two Variables

• 4.2 Solving Systems of Linear Equations in Three Variables

• 4.3 Systems of Linear Equations and Problem Solving

• Integrated Review: Systems of Linear Equations

• 4.4 Solving Systems of Equations by Matrices

• 4.5 Systems of Linear Inequalities

5. Exponents, Polynomials, and Polynomial Functions

• 5.1 Exponents and Scientific Notation

• 5.2 More Work with Exponents and Scientific Notation

• 5.3 Polynomials and Polynomial Functions

• 5.4 Multiplying Polynomials

• 5.5 The Greatest Common Factor and Factoring by Grouping

• 5.6 Factoring Trinomials

• 5.7 Factoring by Special Products

• Integrated Review: Operations on Polynomials and Factoring Strategies

• 5.8 Solving Equations by Factoring and Problem Solving

6. Rational Expressions

• 6.1 Rational Functions and Multiplying and Dividing Rational Expressions

• 6.2 Adding and Subtracting Rational Expressions

• 6.3 Simplifying Complex Fractions

• 6.4 Dividing Polynomials: Long Division and Synthetic Division

• 6.5 Solving Equations Containing Rational Expressions

• Integrated Review: Expressions and Equations Containing Rational Expressions

• 6.6 Rational Equations and Problem Solving

• 6.7 Variation and Problem Solving

7. Rational Exponents, Radicals, and Complex Numbers

• 7.2 Rational Exponents

• 7.5 Rationalizing Denominators and Numerators of Radical Expressions

• Integrated Review: Radicals and Rational Exponents

• 7.6 Radical Equations and Problem Solving

• 7.7 Complex Numbers

• 8.1 Solving Quadratic Equations by Completing the Square

• 8.3 Solving Equations by Using Quadratic Methods

• Integrated Review: Summary on Solving Quadratic Equations

• 8.4 Nonlinear Inequalities in One Variable

• 8.5 Quadratic Functions and Their Graphs

• 8.6 Further Graphing of Quadratic Functions

9. Exponential and Logarithmic Functions

• 9.1 The Algebra of Functions; Composite Functions

• 9.2 Inverse Functions

• 9.3 Exponential Functions

• 9.4 Exponential Growth and Decay Functions

• 9.5 Logarithmic Functions

• 9.6 Properties of Logarithms

• Integrated Review: Functions and Properties of Logarithms

• 9.7 Common Logarithms, Natural Logarithms, and Change of Base

• 9.8 Exponential and Logarithmic Equations and Problem Solving

10. Conic Sections

• 10.1 The Parabola and the Circle

• 10.2 The Ellipse and the Hyperbola

• Integrated Review: Graphing Conic Sections

• 10.3 Solving Nonlinear Systems of Equations

• 10.4 Nonlinear Inequalities and Systems of Inequalities

11. Sequences, Series, and the Binomial Theorem

• 11.1 Sequences

• 11.2 Arithmetic and Geometric Sequences

• 11.3 Series

• Integrated Review: Sequences and Series

• 11.4 Partial Sums of Arithmetic and Geometric Sequences

• 11.5 The Binomial Theorem