Beginning Algebra With Applications and Visualization

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  • Format: Hardcover
  • Copyright: 2005-01-01
  • Publisher: Addison Wesley
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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
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
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
Quadratic Equations (I)
Quadratic equations (II)
The Quadratic Formula
Quadratic Inequalities
Appendix: Graphing Calculator
Answers to Selected Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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