**1 The Real Number System and Geometry**

1.1 Review of Fractions

1.2 Exponents and Order of Operations

1.3 Geometry Review

1.4 Sets of Numbers and Absolute Value

1.5 Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers

1.7 Algebraic Expressions and Properties of Real Numbers

**2 The Rules of Exponents**

2.1 Basic Rules of Exponents

Part A The Product Rule and Power Rules

Part B Combining the Rules

2.2 Integer Exponents

Part A Real-Number Bases

Part B Variable Bases

2.3 The Quotient Rule

Putting It All Together

2.4 Scientific Notation

**3 Linear Equations and Inequalities**

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percentages

3.5 Geometry Applications and Solving Formulas

3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt

3.7 Solving Linear Inequalities in One Variable

3.8 Solving Compound Inequalities

**4 Linear Equations in Two Variables**

4.1 Introduction to Linear Equations in Two Variables

4.2 Graphing by Plotting Points and Finding Intercepts

4.3 The Slope of a Line

4.4 The Slope-Intercept Form of a Line

4.5 Writing an Equation of a Line

4.6 Introduction to Functions

**5 Solving Systems of Linear Equations**

5.1 Solving Systems by Graphing

5.2 Solving Systems by Substitution

5.3 Solving Systems by the Elimination Method

Putting It All Together

5.4 Applications of Systems of Two Equations

5.5 Systems of Three Equations and Applications

**6 Polynomials**

6.1 Review of the Rules of Exponents

6.2 Addition and Subtraction of Polynomials

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

**7 Factoring Polynomials**

7.1 The Greatest Common Factor and Factoring by Grouping

7.2 Factoring Trinomials of the Form x2+bx+c

7.3 Factoring Trinomials of the Form ax2+bx+c (a≠1)

7.4 Factoring Special Trinomials and Binomials

Putting It All Together

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

**8 Rational Expressions **

8.1 Simplifying Rational Expressions

8.2 Multiplying and Dividing Rational Expressions

8.3 Finding the Least Common Denominator

8.4 Adding and Subtracting Rational Expressions

Putting It All Together

8.5 Simplifying Complex Fractions

8.6 Solving Rational Equations

8.7 Applications of Rational Equations

**9 More Equations and Inequalities **

9.1 Solving Absolute Value Equations

9.2 Solving Absolute Value Inequalities

9.3 Solving Linear and Compound Linear Inequalities in Two Variables

9.4 Solving Systems of Linear Equations Using Matrices

**10 Radicals and Rational Exponents**

10.1 Finding Roots

10.2 Rational Exponents

10.3 Simplifying Expressions Containing Square Roots

10.4 Simplifying Expressions Containing Higher Roots

10.5 Adding, Subtracting, and Multiplying Radicals

10.6 Dividing Radicals

Putting It All Together

10.7 Solving Radical Equations

10.8 Complex Numbers

**11 Quadratic Equations**

11.1 Review of Solving Equations by Factoring

11.2 The Square Root Property and Completing the Square

11.3 The Quadratic Formula

Putting It All Together

11.6 Equations in Quadratic Form

11.7 Formulas and Applications

**12 Functions and their Graphs**

12.1 Relations and Functions

12.2 Graphs of Functions and Transformations

12.3 Quadratic Functions and Their Graphs

12.4 Applications of Quadratic Functions and Graphing Other Parabolas

12.5 The Algebra of Functions

12.6 Variation

**13 Exponential, and Logarithmic Functions **

13.1 Inverse Functions

13.2 Exponential Functions

13.3 Logarithmic Functions

13.4 Properties of Logarithms

13.5 Common and Natural Logarithms and Change of Base

13.6 Solving Exponential and Logarithmic Equations

**14 Conic Sections, Nonlinear Inequalities, and Nonlinear Systems**

14.1 The Circle

14.2 The Ellipse and the Hyperbola

Putting It All Together

14.3 Nonlinear Systems of Equations

14.4 Quadratic and Rational Inequalities

**15 Sequences and Series (Online Only)**

15.1 Sequences and Series

15.2 Arithmetic Sequences and Series

15.3 Geometric Sequences and Series

15.4 The Binomial Theorem

**A Appendix: Beginning Algebra ReviewA1 The Real Number System and GeometryA2 Variables and ExponentsA3 Linear Equations and InequalitiesA4 Linear Equations in Two Variables and FunctionsA5 Solving Systems of Linear EquationsA6 PolynomialsA7 Factoring PolynomialsA8 Rational Expressions **