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 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 Bases

Part A Real-Number Bases

Part B Variable Bases

2.3 The Quotient Rule

Putting It All Together

2.4 Scientific Notation

Chapter 3 Linear Equations and Inequalities

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Solving Linear Equations Part III

3.4 Applications of Linear Equations

3.5 Applications Involving Percentages

3.6 Geometry Applications and Solving Formulas

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

3.8 Solving Linear Inequalities in One Variable

Chapter 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

Chapter 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 Linear Inequalities in Two Variables

Chapter 6 Polynomials

6.1 Review of the Rules of Exponents

6.2 Addition and Subtraction of Polynomials; Graphing

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 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

Chapter 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 and Variation

Chapter 9 Radicals and Rational Exponents

9.1 Finding Roots

9.2 Simplifying Expressions Containing Radicals

9.3 Adding and Subtracting Radicals

9.4 Combining Operations on Radicals

9.5 Dividing Radicals

9.6 Solving Radical Equations

9.7 Rational Exponents

Chapter 10 Quadratic Equations

10.1 Solving Quadratic Equations Using the Square Root Property

10.2 Solving Quadratic Equations by Completing the Square

10.3 Solving Quadratic Equations Using the Quadratic Formula

Putting It All Together

10.4 Complex Numbers

10.5 Graphs of Quadratic Equations

Appendix

A.1 Mean, Median, and Mode

A.2 Systems of Linear Equations in Three Variables

A.3 Quadratic Inequalities