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ISBN13: 978-0321157263

ISBN10: 0321157265 Edition: 05

Copyright: 2005

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

ISBN10: 0321157265 Edition: 05

Copyright: 2005

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

Beginning Algebra with Applications and Visualization offers an innovative approach to the beginning algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. Real data, graphs, and tables play an important role in the course, giving meaning to the numbers and equations that students encounter. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology.

1. Introduction to Algebra.

Numbers, Variables, and Algebraic Expressions.

Fractions.

Exponents and Order of Operations.

Real Numbers and the Number Line.

Addition and Subtraction of Real Numbers.

Multiplication and Division of Real Numbers.

Properties of Real Numbers.

Simplifying and Writing Algebraic Expressions.

2. Linear Equations and Inequalities.

Introduction to Equations.

Linear Equations.

Introduction to Problem Solving.

Formulas.

Linear Inequalities.

3. Graphing Equations.

Introduction to Graphing.

Linear Equations in Two Variables.

More Graphing of Lines.

Slope and Rates of Change.

Slope-Intercept Form.

Point-Slope Form.

Introduction to Modeling.

4. Systems of Linear Equations in Two Variables.

Solving Systems of Linear Equations Graphically and Numerically.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

Systems of Linear Inequalities.

5. Polynomials and Exponents.

Addition and Subtraction of Polynomials.

Rules for Exponents.

Multiplication of Polynomials.

Special Products.

Integer Exponents and the Quotient Rule.

Division of Polynomials.

6. Factoring Polynomials and Solving Equations.

Introduction to Factoring.

Factoring Trinomials (I).

Factoring Trinomials (II).

Special Types of Factoring.

Solving Equations by Factoring.

Factoring Polynomials.

7. Rational Expressions.

Introduction to Rational Expressions.

Multiplication and Division of Rational Expressions.

Addition and Subtraction of Rational Expressions (I).

Addition and Subtraction of Rational Expressions (II).

Complex Fractions.

Rational Equations and Formulas.

Proportions and Variation.

8. Radical Expressions and Functions.

Radical Expressions.

Multiplication and Division of Radical Expressions.

Addition and Subtraction of Radical Expressions.

Simplifying Radical Expressions.

Equations Involving Radicals.

Formulas from Geometry.

Rational Exponents.

Complex Numbers.

9. Quadratic Equations.

Parabolas.

Quadratic Equations (I).

Quadratic equations (II).

The Quadratic Formula.

Quadratic Inequalities.

Appendix: Graphing Calculator.

Glossary.

Bibliography.

Answers to Selected Exercises.

Index.

Gary K. Rockswold and Terry A. Krieger

ISBN13: 978-0321157263ISBN10: 0321157265 Edition: 05

Copyright: 2005

Publisher: Addison-Wesley Longman, Inc.

Published: 2005

International: No

Beginning Algebra with Applications and Visualization offers an innovative approach to the beginning algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. Real data, graphs, and tables play an important role in the course, giving meaning to the numbers and equations that students encounter. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of multiple representations (verbal, graphical, numerical, and symbolic), applications, visualization, and technology.

Table of Contents

Numbers, Variables, and Algebraic Expressions.

Fractions.

Exponents and Order of Operations.

Real Numbers and the Number Line.

Addition and Subtraction of Real Numbers.

Multiplication and Division of Real Numbers.

Properties of Real Numbers.

Simplifying and Writing Algebraic Expressions.

2. Linear Equations and Inequalities.

Introduction to Equations.

Linear Equations.

Introduction to Problem Solving.

Formulas.

Linear Inequalities.

3. Graphing Equations.

Introduction to Graphing.

Linear Equations in Two Variables.

More Graphing of Lines.

Slope and Rates of Change.

Slope-Intercept Form.

Point-Slope Form.

Introduction to Modeling.

4. Systems of Linear Equations in Two Variables.

Solving Systems of Linear Equations Graphically and Numerically.

Solving Systems of Linear Equations by Substitution.

Solving Systems of Linear Equations by Elimination.

Systems of Linear Inequalities.

5. Polynomials and Exponents.

Addition and Subtraction of Polynomials.

Rules for Exponents.

Multiplication of Polynomials.

Special Products.

Integer Exponents and the Quotient Rule.

Division of Polynomials.

6. Factoring Polynomials and Solving Equations.

Introduction to Factoring.

Factoring Trinomials (I).

Factoring Trinomials (II).

Special Types of Factoring.

Solving Equations by Factoring.

Factoring Polynomials.

7. Rational Expressions.

Introduction to Rational Expressions.

Multiplication and Division of Rational Expressions.

Addition and Subtraction of Rational Expressions (I).

Addition and Subtraction of Rational Expressions (II).

Complex Fractions.

Rational Equations and Formulas.

Proportions and Variation.

8. Radical Expressions and Functions.

Radical Expressions.

Multiplication and Division of Radical Expressions.

Addition and Subtraction of Radical Expressions.

Simplifying Radical Expressions.

Equations Involving Radicals.

Formulas from Geometry.

Rational Exponents.

Complex Numbers.

9. Quadratic Equations.

Parabolas.

Quadratic Equations (I).

Quadratic equations (II).

The Quadratic Formula.

Quadratic Inequalities.

Appendix: Graphing Calculator.

Glossary.

Bibliography.

Answers to Selected Exercises.

Index.

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