Elementary Algebra

<h2>Table of Contents</h2> <p> </p> <ol> <li><strong>Introduction to Algebraic Expressions</strong> <ul> <li>1.1 Introduction to Algebra</li> <li>1.2 The Commutative, Associative, and Distributive Laws</li> <li>1.3 Fraction Notation</li> <li>1.4 Positive and Negative Real Numbers</li> <li>1.5 Addition of Real Numbers</li> <li>1.6 Subtraction of Real Numbers</li> <li>1.7 Multiplication and Division of Real Numbers</li> <li>1.8 Exponential Notation and Order of Operations</li> </ul></li> <li><strong>Equations, Inequalities, and Problem Solving</strong> <ul> <li>2.1 Solving Equations</li> <li>2.2 Using the Principles Together</li> <li>2.3 Formulas</li> <li>2.4 Applications with Percent</li> <li>2.5 Problem Solving</li> <li>2.6 Solving Inequalities</li> <li>2.7 Solving Applications with Inequalities</li> </ul></li> <li><strong>Introduction to Graphing</strong> <ul> <li>3.1 Reading Graphs, Plotting Points, and Scaling Graphs</li> <li>3.2 Graphing Linear Equations</li> <li>3.3 Graphing and Intercepts</li> <li>3.4 Rates</li> <li>3.5 Slope</li> <li>3.6 Slope-Intercept Form</li> <li>3.7 Point-Slope Form</li> </ul></li> <li><strong>Polynomials</strong> <ul> <li>4.1 Exponents and Their Properties</li> <li>4.2 Polynomials</li> <li>4.3 Addition and Subtraction of Polynomials</li> <li>4.4 Multiplication of Polynomials</li> <li>4.5 Special Products</li> <li>4.6 Polynomials in Several Variables</li> <li>4.7 Division of Polynomials</li> <li>4.8 Negative Exponents and Scientific Notation</li> </ul></li> <li><strong>Polynomials and Factoring</strong> <ul> <li>5.1 Introduction to Factoring</li> <li>5.2 Factoring Trinomials of the Type x² + bx + c</li> <li>5.3 Factoring Trinomials of the Type ax² + bx + c</li> <li>5.4 Factoring Perfect-Square Trinomials and Difference of Squares</li> <li>5.5 Factoring: A General Strategy</li> <li>5.6 Solving Quadratic Equations by Factoring</li> <li>5.7 Solving Applications</li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>6.1 Rational Expressions</li> <li>6.2 Multiplication and Division</li> <li>6.3 Addition, Subtraction, and Least Common Denominators</li> <li>6.4 Addition and Subtraction with Unlike Denominators</li> <li>6.5 Complex Rational Expressions</li> <li>6.6 Rational Equations</li> <li>6.7 Applications Using Rational Equations and Proportions</li> </ul></li> <li><strong>Systems and More Graphing</strong> <ul> <li>7.1 Systems of Equations and Graphing</li> <li>7.2 Systems of Equations and Substitution</li> <li>7.3 Systems of Equations and Elimination</li> <li>7.4 More Applications Using Systems</li> <li>7.5 Linear Inequalities in Two Variables</li> <li>7.6 Systems of Linear Inequalities</li> <li>7.7 Direct Variation and Inverse Variation</li> </ul></li> <li><strong>Radical Expressions and Equations</strong> <ul> <li>8.1 Introduction to Square Roots and Radical Expressions</li> <li>8.2 Multiplying and Simplifying Radical Expressions</li> <li>8.3 Quotients Involving Square Roots</li> <li>8.4 Radical Expressions with Several Terms</li> <li>8.5 Radical Equations</li> <li>8.6 Applications Using Right Triangles</li> <li>8.7 Higher Roots and Rational Exponents</li> </ul></li> <li><strong>Quadratic Equations</strong> <ul> <li>9.1 Solving Quadratic Equations: The Principle of Square Roots</li> <li>9.2 Solving Quadratic Equations: Completing the Square</li> <li>9.3 The Quadratic Formula and Applications</li> <li>9.4 Formulas</li> <li>9.5 Complex Numbers as Solutions of Quadratic Equations</li> <li>9.6 Graphs of Quadratic Functions</li> <li>9.7 Functions</li> </ul></li> </ol> <h3>Appendix A. Factoring Sums or Differences of Cubes</h3> <h3>Appendix B. Mean, Median, and Mode</h3> <h3>Appendix C. Sets</h3> <p></p>