Elementary Algebra is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems.

1 Real Numbers and Their Properties

1.1 The Real Numbers

1.2 Fractions

1.3 Addition and Subtraction of Real Numbers

1.4 Multiplication and Division of Real Numbers

1.5 Exponential Expressions and the Order of Operations

1.6 Algebraic Expressions

1.7 Properties of the Real Numbers

1.8 Using the Properties to Simplify Expressions

2 Linear Equations and Inequalities in One Variable

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving General Linear Equations

2.3 More Equations

2.4 Formulas

2.5 Translating Verbal Expressions into Algebraic Expressions

2.6 Number, Geometric, and Uniform Motion Applications

2.7 Discount, Investment, and Mixture Applications

2.8 Inequalities

2.9 Solving Inequalities and Applications

3 Linear Equations in Two Variables and Their Graphs

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope

3.3 Equations of Lines in Slope-Intercept Form

3.4 The Point-Slope Form

3.5 Variation

4 Systems of Linear Equations and Inequalities

(and more...)