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Beginning Algebra
ISBN: 9780130737847 | 0130737844
Edition: ANNOTATEDFormat: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/1993
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This book offers a sound mathematics presentation, useful pedagogy, and a superb problem-solving framework. The Second Edition features a greater incorporation of AMATYC and NCTM standards, reflected in an increased emphasis on visualization and graphing, carefully revised problems and exercises, and more data analysis. A six-step problem-solving approach is woven consistently throughout -- 1) Understand; 2) Assign; 3) Illustrate; 4) Translate into a model (or equation); 5) Complete; 6) Interpret a variety of realistic problems. Increased emphasis on data interpretation, with real data integrated throughout, beginning with an introduction to bar graphs in Section 1.1. With the emphasis on interpreting data via graphs, readers reinforce what they've learned visually and see math's tangibility. Graphing is introduced earlier and developed in-depth in more than one chapter in line with AMATYC and NCTM standards. An early introduction to graphing helps readers see the math in Chapter 3. An emphasis on visualization through graphing is carried throughout; by Chapter 7, readers are ready to master functions and equations of lines.
| Review of Real Numbers | |
| Symbols and Sets of Numbers | |
| Fractions | |
| Exponents and Order of Operations | |
| Introduction to Variable Expressions and Equations | |
| Adding Real Numbers | |
| Subtracting Real Numbers | |
| Multiplying and Dividing Real Numbers | |
| Properties of Real Numbers | |
| Reading Graphs | |
| Equa... MORE | |
| Simplifying Algebraic Expressions | |
| The Addition Property of Equality | |
| The Multiplication Property of Equality | |
| Solving Linear Equations | |
| An Introduction to Problem Solving | |
| Formulas and Problem Solving | |
| Percent and Problem Solving | |
| Further Problem Solving | |
| Solving Linear Inequalities | |
| Graphing | |
| The Rectangular Coordinate System | |
| Graphing Linear Equations | |
| Intercepts | |
| Slope | |
| Graphing Linear Inequalities | |
| Exponents and Polynomials | |
| Exponents | |
| Adding and Subtracting Polynomials | |
| Multiplying Polynomials | |
| Special Products | |
| Negative Exponents and Scientific Notation | |
| Division of Polynomials | |
| Factoring Polynomials | |
| The Greatest Common Factor and Factoring by Grouping | |
| Factoring Trinomials of the Form x2 + bx + c | |
| Factoring Trinomials of the Form ax2 + bx + c | |
| Factoring Binomials | |
| Choosing a Factoring Strategy | |
| Solving Quadratic Equations by Factoring | |
| Quadratic Equations and Problem Solving | |
| Rational Expressions | |
| Simplifying Rational Expressions | |
| Multiplying and Dividing Rational Expressions | |
| Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators | |
| Adding and Subtracting Rational Expressions with Unlike Denominators | |
| Simplifying Complex Fractions | |
| Solving Equations Containing Rational Expressions | |
| Ratio and Proportion | |
| Rational Equations and Problem Solving | |
| Further Graphing | |
| The Slope-Intercept Form | |
| The Point-Slope Form | |
| Graphing Nonlinear Equations | |
| An Introduction to Functions | |
| Solving Systems of Linear Equations | |
| Solving Systems of Linear Equations by Graphing | |
| Solving Systems of Linear Equations by Substitution | |
| Solving Systems of Linear Equations by Addition | |
| Systems of Linear Equations and Problem Solving | |
| Systems of Linear Inequalities | |
| Roots and Radicals | |
| Introduction to Radicals | |
| Simplifying Radicals | |
| Adding and Subtracting Radical Expressions | |
| Multiplying and Dividing Radical Expressions | |
| Solving Equations Containing Radicals | |
| Radical Equations and Problem Solving | |
| Rational Exponents | |
| Solving Quadratic Equations | |
| Solving Quadratic Equations by the Square Root Method | |
| Solving Quadratic Equations by Completing the Square | |
| Solving Quadratic Equations by the Quadratic Formula | |
| Summary of Methods for Solving Quadratic Equations | |
| Complex Solutions to Quadratic Equations | |
| Graphing Quadratic Equations | |
| Appendices | |
| Operations on Decimals | |
| Review of Angles, Lines, and Special Triangles | |
| Review of Geometric Figures | |
| Mean, Median, and Mode | |
| Table of Squares and Square Roots | |
| Answers to Selected Exercises | |
| Index | |
| Photo Credits | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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