Elementary Algebra

Preface To the Student Learning Styles Inventory 1. Foundations of Algebra 1.1. Number Sets and the Structure of Algebra 1.2. Fractions 1.3. Adding and Subtracting Real Numbers; Properties of Real Numbers 1.4. Multiplying and Dividing Real Numbers; Properties of Real Numbers 1.5. Exponents, Roots, and Order of Operations 1.6. Translating Word Phrases to Expressions 1.7. Evaluating and Rewriting Expressions 2. Solving Linear Equations and Inequalities 2.1. Equations, Formulas, and the Problem-Solving Process 2.2. The Addition Principle of Equality 2.3. The Multiplication Principle of Equality 2.4. Applying the Principles to Formulas 2.5. Translating Word Sentences to Equations 2.6. Solving Linear Inequalities 3. Problem Solving 3.1. Ratios and Proportions 3.2. Percents 3.3. Problems with Two or More Unknowns 3.4. Rates 3.5. Investment and Mixture 4. Graphing Linear Equations and Inequalities 4.1. The Rectangular Coordinate System 4.2. Graphing Linear Equations 4.3. Graphing Using Intercepts 4.4. Slope-Intercept Form 4.5. Point-Slope Form 4.6. Graphing Linear Inequalities 4.7. Introduction to Functions and Function Notation 5. Systems of Linear Equations and Inequalities 5.1. Solving Systems of Linear Equations Graphically 5.2. Solving Systems of Linear Equations by Substitution 5.3. Solving Systems of Linear Equations by Elimination 5.4. More Applications with Systems of Equations 5.5. Solving Systems of Linear Inequalities 6. Polynomials 6.1. Exponents and Scientific Notation 6.2. Introduction to Polynomials 6.3. Adding and Subtracting Polynomials 6.4. Exponent Rules and Multiplying Monomials 6.5. Multiplying Polynomials; Special Products 6.6. Exponent Rules and Dividing Polynomials 7. Factoring 7.1. 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, Where a â   1 7.4. Factoring Special Products 7.5. Strategies for Factoring 7.6. Solving Quadratic Equations by Factoring 7.7. Graphs of Quadratic Equations and Functions 8. Rational Expressions and Equations 8.1. Simplifying Rational Expressions 8.2. Multiplying and Dividing Rational Expressions 8.3. Adding and Subtracting Rational Expressions with the Same Denominator 8.4. Adding and Subtracting Rational Expressions with Different Denominators 8.5. Complex Rational Expressions 8.6. Solving Equations Containing Rational Expressions 8.7. Applications with Rational Expressions, Including Variation 9. Roots and Radicals 9.1. Square Roots and Radical Expressions 9.2. Multiplying and Simplifying Square Roots 9.3. Dividing and Simplifying Square Roots 9.4. Adding, Subtracting, and Mixed Operations with Square Roots 9.5. Solving Radical Equations 9.6. Higher Roots and Rational Exponents 10. Quadratic Equations 10.1. The Square Root Principle 10.2. Solving Quadratic Equations by Completing the Square 10.3. Solving Quadratic Equations Using the Quadratic Formula 10.4. Complex Numbers 10.5. Graphing Quadratic Equations Appendix 1 Mean, Median, and Mode Answers Glossary Index