**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**

- 7.1 Radicals and Radical Functions
- 7.2 Rational Exponents
- 7.3 Simplifying Radical Expressions
- 7.4 Adding, Subtracting, and Multiplying Radical Expressions
- 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. Quadratic Equations and Functions**

- 8.1 Solving Quadratic Equations by Completing the Square
- 8.2 Solving Quadratic Equations by the Quadratic Formula
- 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

**Appendices**

- A Geometry
- B Stretching and Compressing Graphs of Absolute Value Functions
- C Solving Systems of Equations Using Determinants
- D An Introduction to Using a Graphing Utility
- Student Resources
- Study Skills Builders
- Bigger Picture–Study Guide Outline
- Practice Final Exam

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