Beginning Algebra With Applications and Visualization

by Rockswold, Gary K.; Krieger, Terry A.

• ISBN13: 9780321157263
• ISBN10: 0321157265
• Format: Hardcover
• Copyright: 2005-01-01
• Publisher: Addison Wesley

Summary

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

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

Linear Equations and Inequalities

Introduction to Equations

Linear Equations

Introduction to Problem Solving

Formulas

Linear Inequalities

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

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

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

Factoring Polynomials and Solving Equations

Introduction to Factoring

Factoring Trinomials (I)

Factoring Trinomials (II)

Special Types of Factoring

Solving Equations by Factoring

Factoring Polynomials

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

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

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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