Elementary Algebra (with CD-ROM, BCA/iLrn Tutorial, and InfoTrac)
by Kaufmann, Jerome E.; Schwitters, Karen L.Edition: 7th
Format: Hardcover
Pub. Date: 2003-06-30
Publisher(s): Brooks Cole
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Summary
Jerome E. Kaufmann and Karen Scwhitters built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This no-frills text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then apply what they have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses.
Table of Contents
| 1. SOME BASIC CONCEPTS OF ARITHMETIC AND ALGEBRA | |
| Numerical and Algebraic Expressions | |
| Prime and Composite Numbers | |
| Integers: Addition and Subtraction | |
| Integers: Multiplication and Division | |
| Use of Properties | |
| Summary | |
| Review Problem Set | |
| Test | |
| 2. REAL NUMBERS | |
| Rational Numbers: Multiplication and Division | |
| Addition and Subtraction of Rational Numbers | |
| Real Numbers and Algebraic Expressions | |
| Exponents | |
| Translating from English to Algebra | |
| Summary | |
| Review Problem Set | |
| Test | |
| Cumulative Review Problem Set (Chapters 1-2) | |
| 3. FIRST-DEGREE EQUATIONS AND INEQUALITIES OF ONE VARIABLE | |
| Solving First-Degree Equations | |
| Equations and Problem Solving | |
| More on Solving Equations and Problem Solving | |
| Equations Involving Parentheses and Fractional Forms | |
| Inequalities | |
| Inequalities, Compound Inequalities, and Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| 4. FORMULAS AND PROBLEM SOLVING | |
| Ratio, Proportion, and Percent | |
| More on Percents and Problem Solving | |
| Formulas | |
| Problem Solving | |
| More About Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| Cumulative Review Problem Set (Chapters 1-4) | |
| 5. EXPONENTS AND POLYNOMIALS | |
| Addition and Subtraction of Polynomials | |
| Multiplying Monomials | |
| Multiplying Polynomials | |
| Dividing by Monomials | |
| Dividing by Binomials | |
| Zero and Negative Integers as Exponents | |
| Summary | |
| Review Problem Set | |
| Test | |
| Cumulative Review Problem Set (Chapters 1-5) | |
| 6. FACTORING AND SOLVING EQUATIONS | |
| Factoring by Using the Distributive Property | |
| Factoring the Difference of Two Squares | |
| Factoring Trinomials of the Form x2 + bx + c | |
| Factoring, Solving Equations, and Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| 7. ALGEBRAIC FRACTIONS | |
| Simplifying Algebraic Fractions | |
| Multiplying and Dividing Algebraic Fractions | |
| Adding and Subtracting Algebraic Fractions | |
| More on Addition and Subtraction of Algebraic Fractions | |
| Fractional Equations and Problem Solving | |
| More Fractional Equations and Problem Solving | |
| Summary | |
| Review Problem Set | |
| Test | |
| Cumulative Review Problem Set (Chapter 1-7) | |
| 8. COORDINATE GEOMETRY AND LINEAR SYSTEMS | |
| Cartesian Coordinate System | |
| Graphing Linear Equations and Inequalities | |
| Slope of a Line | |
| Writing Equations of Lines | |
| Solving Linear Systems by Graphing | |
| Elimination-by-Addition Method | |
| Substitution Method | |
| Summary | |
| Review Problem Set | |
| Test | |
| 9. ROOTS AND RADICALS | |
| Roots and Radicals | |
| Simplifying Radicals | |
| More on Simplifying Radicals | |
| Products and Quotients Involving Radicals | |
| Solving Radical Equations | |
| Summary | |
| Review Problem Set | |
| Test | |
| Cumulative Review Problem Set (Chapters 1-9) | |
| 10. QUADRATIC EQUATIONS | |
| Quadratic Equations | |
| Completing the Square | |
| Quadratic Formula | |
| Solving Quadratic Equations-Which Method? | |
| Solving Problems Using Quadratic Equations | |
| Summary | |
| Review Problem Set | |
| Test | |
| 11. ADDITIONAL TOPICS | |
| Equations and Inequalities Involving Absolute Value | |
| 3x3 Systems of Equations | |
| Fractional Exponents | |
| Complex Numbers | |
| Quadratic Equations: Complex Solutions | |
| Pie, Bar, and Line Graphs | |
| Relations and Functions | |
| Applications of Functions | |
| Summary | |
| Review Problem Set | |
| Test | |
| Appendixes: A | |
| Table of Squares and Approximate Square Roots | |
| B | |
| Extra Word Problems | |
| Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix B Problems | |
| Index |
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