**Beginning & Intermediate Algebra with POWER Learning**

**Chapter 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

**Chapter 2 Rules of Exponents**

2.1A Basic Rules of Exponents: The Product Rule and Power Rules

2.1B Basic Rules of Exponents: Combining the Rules

2.2A Integer Exponents: Real-Number Bases

2.2B Integer Exponents: Variable Bases

2.3 The Quotient Rule

2.4 Scientific Notation

**Chapter 3 Linear Equations and Inequalities in One Variable**

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percents

3.5 Geometry Applications and Solving Formulas

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

3.7 Linear Inequalities in One Variable

3.8 Compound Inequalities in One Variable

**Chapter 4 Linear Equations in Two Variables and Functions**

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

**Chapter 5 Solving Systems of Linear Equations**

5.1 Solving Systems by Graphing

5.2 Solving Systems by the Substitution Method

5.3 Solving Systems by the Elimination Method

5.4 Applications of Systems of Two Equations

5.5 Solving Systems of Three Equations and Applications

5.6 Solving Systems of Linear Equations Using Matrices** **

**Chapter 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** **

**Chapter 7 Factoring Polynomials**

7.1 The Greatest Common Factor and Factoring by Grouping

7.2 Factoring Trinomials of the Form *x ^{2}*+

*bx*+

*c*

7.3 Factoring Trinomials of the Form *ax*^{2}+*bx*+*c* (*a*?1)

7.4 Factoring Special Trinomials and Binomials

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

**Chapter 8 Rational Expressions**

8.1 Rational Expressions and Functions

8.2 Multiplying and Dividing Rational Expressions

8.3 Finding the Least Common Denominator

8.4 Adding and Subtracting Rational Expressions

8.5 Simplifying Complex Fractions

8.6 Solving Rational Equations

8.7 Applications of Rational Equations

8.8 Variation** **

**Chapter 9 More Equations and Inequalities**

9.1 Absolute Value Equations

9.2 Absolute Value Inequalities

9.3 Linear and Compound Linear Inequalities in Two Variables

**Chapter 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

10.7 Solving Radical Equations

10.8 Complex Numbers

**Chapter 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

11.4 Equations in Quadratic Form

11.5 Formulas and Applications

**Chapter 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 Quadratic and Rational Inequalities

12.6 The Algebra of Functions

**Chapter 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

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

14.1 The Circle

14.2 The Ellipse and the Hyperbola

14.3 Nonlinear Systems of Equations

14.4 Second-Degree Inequalities and Systems of Inequalities

**Chapter 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

**Appendix A Prealgebra Topics (online only)**

**Appendix B Beginning Algebra Review (online only)**

**Appendix C Additional Topics (online only)**