Elementary Algebra

<>1. Introduction to Algebraic Expressions

Introduction to Algebra

The Commutative, Associative, and Distributive Laws

Fraction Notation

Positive and Negative Real Numbers

Addition of Real Numbers


Subtraction of Real Numbers

Multiplication and Division of Real Numbers

Exponential Notation and Order of Operations




2. Equations, Inequalities, and Problem Solving

Solving Equations

Using the Principles Together

Formulas

Applications with Percent

Problem Solving

Solving Inequalities

Solving Applications with Inequalities



3. Introduction to Graphing

Reading Graphs, Plotting Points, and Scaling Graphs

Graphing Linear Equations

Graphing and Intercepts

Rates

Slope

Slope-Intercept Form

Point-Slope Form



4. Polynomials

Exponents and Their Properties

Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Special Products

Polynomials in Several Variables

Division of Polynomials

Negative Exponents and Scientific Notation



5. Polynomials and Factoring

Introduction to Factoring

Factoring Trinomials of the Type x2 + bx + c

Factoring Trinomials of the Type ax2 + bx + c

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring: A General Strategy

Solving Quadratic Equations by Factoring

Solving Applications




6. Rational Expressions and Equations

Rational Expressions

Multiplication and Division

Addition, Subtraction, and Least Common Denominators

Addition and Subtraction with Unlike Denominators

Complex Rational Expressions

Solving Rational Equations

Applications Using Rational Equations and Proportions



7. Systems and More Graphing

Systems of Equations and Graphing

Systems of Equations and Substitution

Systems of Equations and Elimination

More Applications Using Systems

Linear Inequalities in Two Variables

Systems of Linear Inequalities

Direct and Inverse Variation



8. Radical Expressions and Equations

Introduction to Square Roots and Radical Expressions

Multiplying and Simplifying Radical Expressions

Quotients Involving Square Roots

Radical Expressions with Several Terms

Radical Equations

Applications Using Right Triangles

Higher Roots and Rational Exponents



9. Quadratic Equations

Solving Quadratic Equations: The Principle of Square Roots

Solving Quadratic Equations: Completing the Square

The Quadratic Formula and Applications

Formulas

Complex Numbers as Solutions of Quadratic Equations

Graphs of Quadratic Equations

Functions



Appendixes

A Factoring Sums or Differences of Cubes

B Mean, Median and Mode

C Sets




Tables

1 Fraction and Decimal Equivalents

2 Squares and Square Roots with Approximations to Three Decimal Places






Answers A-1

Glossary G-1

Index I-1

Index of Applications I-7