Introductory Algebra Equations and Graphs (with CD-ROM, BCA/iLrn™ Tutorial, and InfoTrac)

by Yoshiwara, Katherine; Yoshiwara, Bruce

• ISBN13: 9780534358242
• ISBN10: 0534358241
• Edition: 1st
• Format: Paperback
• Copyright: 2003-05-01
• Publisher: Brooks Cole

Summary

Yoshiwara's INTRODUCTORY ALGEBRA was written with two goals in mind: to present the skills of algebra in the context of modeling and problem solving; and to engage students as active participants in the process of learning. Unlike other introductory algebra texts, Yoshiwara's INTRODUCTORY ALGEBRA, builds an intuitive framework for the future study of functions in intermediate algebra. This clearly differentiates Yoshiwara from standard introductory algebra texts. The text emphasizes the study of tables and graphs, and the concept of the variable is developed from that platform. Graphs are used extensively throughout the book to illustrate algebraic technique and to help students visualize relationships between variables. The numerous labeled grids paired with exercises throughout the text reinforce the need to draw graphs by hand while helping students to focus on the properties of the graphs by eliminating the time-consuming task for beginning students of choosing the appropriate scales for the axes. Suggestions for calculator activities are included on the text web site by the authors believe that this skill must be learned through practice with pencil and paper.

Table of Contents

1. VARIABLES AND EQUATIONS

Tables and Bar Graphs

Line Graphs

Variables

Algebraic Expressions

Graphs of Equations

Midchapter Review

Solving Equations

Problem Solving with Algebra

Order of Operations

More Algebraic Expressions

Equations with Two or More Operations

Chapter Summary and Review

2. LINEAR EQUATIONS

Adding Signed Numbers

Subtracting Signed Numbers

Multiplying and Dividing Signed Numbers

Graphs of Linear Equations

Solving Linear Equations

Midchapter Review

Solving Linear Inequalities

Intercepts of a Line

Like Terms

The Distributive Law

Line of Best Fit

Chapter Summary and Review

3. APPLICATIONS OF LINEAR EQUATIONS

Ratio and Proportion

Similarity

Direct Variation

Slope

Slope-Intercept Form

Midchapter Review

Systems of Linear Equations

Algebraic Solution of Systems

Applications of Systems of Equations

Point-Slope Form

Using the Point-Slope Form

Chapter Summary and Review

4. QUADRATIC EQUATIONS

Exponents and Formulas

Square Roots

Nonlinear Graphs

The Pythagorean Theorem

Products of Binomials

Midchapter Review

Graphing Quadratic Equations

Solving Quadratic Equations

Factoring Quadratic Trinomials

More About Factoring

The Quadratic Formula

Chapter Summary and Review

5. POLYNOMIALS AND RATIONAL EXPRESSIONS

Polynomials

Products of Polynomials

Factoring Polynomials

Special Products and Factors

Inverse Variation

Midchapter Review

Algebraic Fractions

Operations on Algebraic Fractions

Lowest Common Denominators

Equations with Algebraic Fractions

Chapter Summary and Review

6. MORE ABOUT EXPONENTS AND RADICALS

Laws of Exponents

Negative Exponents

Scientific Notation

Midchapter Review

Properties of Radicals

Operations with Radicals

Equations with Radicals

Chapter Summary and Review

Appendix A: Review of Arithmetic Skills

Reducing and Building Fractions

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Mixed Numbers and Improper Fractions

Decimal Fractions

Rounding Decimal Numbers

Adding and Subtracting Decimal Numbers

Multiplying and Dividing Decimal Numbers

Percents

Laws of Arithmetic

Measures of Central Tendency: Mode, Mean, and Median

Appendix B: Additional Topics

Prime Factorization

Completing the Square

Polynomial Division

Inequalities in Two Variables

Complex Numbers

Answers to Odd-Numbered Problems

Glossary

Index