Teach Yourself VISUALLY Algebra

by Herzog, David Alan

• ISBN13: 9780470185599
• ISBN10: 0470185597
• Format: Paperback
• Copyright: 2008-03-10
• Publisher: Visual

Summary

Algebra may seem intimidating?but it doesn't have to be. With Teach Yourself VISUALLY Algebra, you can learn algebra in a fraction of the time and without ever losing your cool. This visual guide takes advantage of color and illustrations to factor out confusion and helps you easily master the subject. You'll review the various properties of numbers, as well as how to use powers and exponents, fractions, decimals and percentages, and square and cube roots. Each chapter concludes with exercises to reinforce your skills.

Author Biography

David Alan Herzog is the author of numerous mathematics books and more than 100 educational software programs. He taught math education at Fairleigh Dickinson University, was mathematics coordinator for New Jersey's Rockaway Township public schools, and taught in the New York City public school system.

Table of Contents

The Basics

Groups of Numbers

Ways of Showing Things in Algebra

Properties and Elements

Exponents and Powers

Square Roots and Cube Roots

Zero, FOO, and Divisibility

Chapter Practice

Signed Numbers

Introducing Signed Numbers

Adding Balloons and Sandbags

Subtracting Balloons and Sandbags

Understanding Number Lines

Adding Signed Numbers

Subtracting Signed Numbers

Minus Sign before Parentheses

Letter Carrier Stories to Illustrate Multiplication

Multiplying Signed Numbers

Dividing Signed Numbers

Chapter Practice

Fractions, Decimals, and Percents

The Concept of Fractions

Adding and Subtracting Signed Fractions

Multiplying and Dividing Signed Fractions

Multiplying and Dividing Mixed Numbers

Simplifying Complex Fractions

Changing Decimals to Fractions

What Are Percents?

Finding a Percent of a Number

Understanding Scientific Notation

Chapter Practice

Variables, Terms, and Simple Equations

Balance Pictures

Constants and Variables

Coefficients and Factors

Evaluating Expressions

Solving One-Variable Equations

Adding and Subtracting Variables

Changing Repeating Decimals to Fractions

Solving Equations Using Multiple Steps

Multiplying and Dividing Variables

Chapter Practice

Axioms, Ratios, Proportions, and Sets

Axioms of Equality

Defining and Creating Ratios

Proportions

Set Theory

Chapter Practice

Monomials, Binomials, and Systems of Equations

Monomials

Binomials

Creating Systems of Simultaneous Equations

Solving Systems of Equations by Substitution

Chapter Practice

Polynomials and Factoring

Polynomials Investigated

Factoring

Chapter Practice

Cartesian Coordinates

Philosophically Speaking

Finding the Slope and Intercepts

Graphing Linear Equations by Slope and Intercept

Finding the Equation of a Line

Writing Equations in Point-Slope Form

Graphing Systems of Equations

Chapter Practice

Inequalities and Absolute Value

Introducing Inequalities

Graphing Inequalities on a Number Line

Solving Inequalities by Adding and Subtracting

Solving Inequalities by Multiplying and Dividing

Understanding Absolute Value

Inequalities and Half-Planes

Chapter Practice

Algebraic Fractions

Introducing Algebraic Fractions

Simplifying Algebraic Fractions

Multiplying Algebraic Fractions

Dividing Algebraic Fractions

Adding and Subtracting Algebraic Fractions

Chapter Practice

Roots and Radicals

Defining Roots

Operations with Square Roots

Chapter Practice

Quadratic Equations

Standard Quadratic Equation Form

Solving Quadratic Equations by Factoring

Solving Quadratics by Completing the Square

Solving Quadratic Equations by Formula

Chapter Practice

Algebraic Word Problems

Techniques for Translating Problems into Equations

Types of Problems

Chapter Practice

Glossary

Index

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