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Chapter 1. The Real Number System

1.1 Real Numbers: Order and Absolute Value

1.2 Operations with Integers

1.3 Operations with Rational Numbers

1.4 Exponents, Order of Operations, and Properties of Real Numbers

Chapter 2. Fundamentals of Algebra

2.1 Writing and Evaluating Algebraic Expressions

2.2 Simplifying Algebraic Expressions

2.3 Algebra and Problem Solving

2.4 Introduction to Equations

Chapter 3. Linear Equations and Problem Solving

3.1 Solving Linear Equations

3.2 Equations That Reduce to Linear Form

3.4 Ratio and Proportion

3.5 Geometric and Scientific Applications

3.6 Linear Inequalities

3.7 Absolute Value Equations and Inequalities

Chapter 4. Graphs and Functions

4.1 Ordered Pairs and Graphs

4.2 Graphs of Equations in Two Variables

4.3 Relations, Functions, and Graphs

4.4 Slope and Graphs of Linear Equations

4.5 Equations of Lines

4.6 Graphs of Linear Inequalities

Chapter 5. Exponents and Polynomials

5.1 Adding and Subtracting Polynomials

5.2 Multiplying Polynomials: Special Products

5.3 Negative Exponents and Scientific Notation

5.4 Dividing Polynomials

Chapter 6. Factoring and Solving Equations

6.1 Factoring Polynomials with Common Factors

6.2 Factoring Trinomials

6.4 Factoring Polynomials with Special Forms

6.5 Polynomial Equations and Applications

Chapter 7. Systems of Equations

7.1 Solving Systems of Equations by Graphing and Substitution

7.2 Solving Systems of Equations by Elimination

7.3 Linear Systems in Three Variables

7.5 Determinants and Linear Systems

Chapter 8. Rational Expressions, Equations, and Functions

8.1 Rational Expressions and Functions

8.2 Multiplying and Dividing Rational Expressions

8.3 Adding and Subtracting Rational Expressions

8.4 Solving Rational Equations

8.6 Variation

Chapter 9. Radicals and Complex Numbers

9.1 Radicals and Rational Exponents

9.2 Simplifying Radical Expressions

9.3 Multiplying and Dividing Radical Expressions

9.4 Solving Radical Equations

9.5 Complex Numbers

Chapter 10. Quadratic Equations and Inequalities

10.1 Factoring and Extracting Square Roots

10.2 Completing the Square

10.3 The Quadratic Formula

10.4 Graphs of Quadratic Functions

10.5 Applications of Quadratic Equations

10.6 Quadratic and Rational Inequalities

Chapter 11. Exponential and Logarithmic Functions

11.1 Exponential Functions

11.2 Inverse Functions

11.3 Logarithmic Functions

11.4 Properties of Logarithms

11.5 Solving Exponential and Logarithmic Equations

11.6 Applications

Chapter 12. Sequences and Series

12.1 Sequences

12.2 Arithmetic Sequences

12.3 Geometric Sequences and Series

12.4 The Binomial Theorem

Appendices

A. Conic Sections