Title:
Elementary algebra : equations and graphs
Personal Author:
Publication Information:
Pacific Groove : Brooks Cole Pub., 2000
ISBN:
9780534377519
General Note:
Accompanied by a student workbook : QA152.2 Y653 2000
Subject Term:
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Summary
Summary
Yoshiwara's ELEMENTARY ALGEBRA was written with two goals in mind: to present the skills of algebra in the context of modeling and problem solving; and to engage students as active participants in the process of learning. The text begins with a study of tables and graphs, and the concept of the variable is developed from that platform. Graphs are used extensively throughout the book to illustrate algebraic technique and to help students visualize relationships between variables. This book ultimately builds an intuitive framework for the later study of functions, thus giving students the skills they need to be successful in future math courses.
Table of Contents
| 1 Variables and equations Tables and Bar Graphs |
| Line Graphs |
| Variables |
| Algebraic Expressions |
| Graphs of Equations |
| Midchapter Review |
| Solving Equations |
| Problem Solving with Algebra |
| Order of Operations |
| More Algebraic Expressions |
| Equations with Two or More Operations |
| Chapter 1 Summary and Review |
| 2 Linear equations Adding Signed Numbers |
| Subtracting Signed Numbers |
| Multiplying and Dividing Signed Numbers |
| Graphs of Linear Equations |
| Solving Linear Equations |
| Midchapter Review |
| Solving Linear Inequalities |
| Intercepts of a Line |
| Like Terms |
| The Distributive Law |
| Line of Best Fit |
| Chapter 2 Summary and Review |
| 3 Applications of linear equations Ratio and Proportion |
| Similarity |
| Direct Variation |
| Slope |
| Slope-Intercept Form |
| Midchapter Review |
| Systems of Linear Equations |
| Algebraic Solution of Systems |
| Applications of Systems of Equations |
| Point-Slope Form |
| Using the Point-Slope Form |
| Chapter 3 Summary and Review |
| 4 Quadratic equations Exponents and Formulas |
| Square Roots |
| Nonlinear Graphs |
| Pythagorean Theorem |
| Products of Binomials |
| Midchapter Review |
| Graphing Quadratic Equations |
| Solving Quadratic Equations |
| Factoring Quadratic Trinomials |
| More About Factoring |
| The Quadratic Formula |
| Chapter 4 Summary and Review |
| 5 Polynomials and rational expressions Polynomials |
| Products of Polynomials |
| Factoring Polynomials |
| Special Products and Factors |
| Inverse Variation |
| Midchapter Review |
| Algebraic Fractions |
| Operations on Algebraic Fractions |
| Lowest Common Denominators |
| Equations with Algebraic Fractions |
| Chapter 5 Summary and Review |
| 6 More about exponents and radicals Laws of Exponents |
| Negative Exponents |
| Scientific Notation |
| Midchapter Review |
| Properties of Radicals |
| Operations with Radicals |
| Equations with Radicals |
| Chapter 6 Summary and Review |
| Appendix A Review of arithmetic skills |
| Reducing and Building Fractions |
| Multiplying and Dividing Fractions |
| Adding and Subtracting Fractions |
| Mixed Numbers and Improper Fractions |
| Decimal Fractions |
| Rounding Decimal Numbers |
| Adding and Subtracting Decimal Fractions |
| Multiplying and Dividing Decimal Fractions |
| Percents |
| Laws of Arithmetic |
| Measures of Central Tendency: Mode, Mean, and Median |
| Appendix B Additional topics |
| Prime Factorization |
| Completing the Square |
| Polynomial Division |
| Inequalities in Two Variables |
| Complex Numbers |
| Answers to odd-numbered exercises |
| Glossary |
| Index |
