0 Prealgebra Review

0.1 A Review of Fractions

0.2 Real Numbers

0.3 Adding and Subtracting Real Numbers

0.4 Multiplying and Dividing Real Numbers

0.5 Exponents and Order of Operation

1 From Arithmetic to Algebra

1.1 Transition to Algebra

1.2 Evaluating Algebraic Expressions

1.3 Adding and Subtracting Algebraic Expressions

1.4 Sets

2 Equations and Inequalities

2.1 Solving Equations by Adding and Subtracting

2.2 Solving Equations by Multiplying and Dividing

2.3 Combining the Rules to Solve Equations

2.4 Literal Equations and Their Applications

2.5 Solving Linear Inequalities Using Addition

2.6 Solving Linear Inequalities Using Multiplication

2.7 Solving Absolute Value Equations (Optional)

2.8 Solving Absolute Value Inequalities (Optional)

3 Graphs and Linear Equations

3.1 Solutions of Equations in Two Variables

3.2 The Cartesian Coordinate System

3.3 The Graph of a Linear Equation

3.4 The Slope of a Line

3.5 Forms of Linear Equations

4 Exponents and Polynomials

4.1 Positive Integer Exponents

4.2 Zero and Negative Exponents and Scientific Notation

4.3 Introduction to Polynomials

4.4 Addition and Subtraction of Polynomials

4.5 Multiplication of Polynomials and Special Products

4.6 Division of Polynomials

5 A Beginning Look at Functions

5.1 Relations and Functions

5.2 Tables and Graphs

5.3 Algebra of Functions

5.4 Composition of Functions

6 Factoring Polynomials

6.1 An Introduction to Factoring

6.2 Factoring Special Polynomials

6.3 Factoring Trinomials: The ac method

6.3* Factoring Trinomials: Trial and Error

6.4 Solving Quadratic Equations by Factoring

6.5 Problem Solving with Factoring

6.6 A General Strategy for Factoring

R A Review of Elementary Algebra

R.1 From Arithmetic to Algebra

R.2 Equations and Inequalities

R.3 Graphs and Linear Equations

R.4 Exponents and Polynomials

R.5 A Beginning Look at Functions

R.6 Factoring Polynomials

7 Rational Expressions

7.1 Simplifying Rational Expressions

7.2 Multiplication and Division of Rational Expressions

7.3 Addition and Subtraction of Rational Expressions

7.4 Complex Fractions

7.5 Solving Rational Expressions

7.6 Solving Rational Inequalities

7.7 Rational Functions

8 Systems of Linear Equations and Inequalities

8.1 Solving Systems of Linear Equations by Graphing

8.2 Systems of Equations in Two Variables with Applications

8.3 Systems of Linear Equations in Three Variables

8.4 Matrices (Optional)

8.5 Graphing Linear Inequalities in Two Variables

8.6 Systems of Linear Inequalities in Two Variables

9 Graphical Solutions

9.1 Solving Equations in One Variable Graphically

9.2 Solving Linear Inequalities in One Variable Graphically

9.3 Solving Absolute Value Equations Graphically

9.4 Solving Absolute Value Inequalities Graphically

10 Radicals and Exponents

10.1 Roots and Radicals

10.2 Simplifying Radical Expressions

10.3 Operations on Radical Expressions

10.4 Solving Radical Equations

10.5 Rational Exponents

10.6 Complex Numbers

11 Quadratic Functions

11.1 Solving Quadratic Equations by Completing the Square

11.2 The Quadratic Formula

11.3 Solving Quadratic Equations by Graphing

11.4 Solving Quadratic Inequalities

12 Conic Sections

12.1 More on the Parabola

12.2 The Circle

12.3 Ellipses

12.4 Hyperbolas

13 Exponential and Logarithmic Functions

13.1 Inverse Relations and Functions

13.2 Exponential Functions

13.3 Logarithmic Functions

13.4 Properties of Logarithms

13.5 Logarithmic and Exponential Equations

Appendix A

Appendix A.1 Determinants and Cramer's Rule