Beginning Algebra

by Martin-Gay, Elayn

• ISBN13: 9780131444447
• ISBN10: 0131444441
• Edition: 4th
• Format: Hardcover w/CD
• Copyright: 2009-01-01
• Publisher: Prentice Hall

Summary

Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts. New and revised topic coverage includes linear graphing, slope, equations of lines, and introduction to functions; direct and inverse variation; factoring trinomials by grouping; slope as a rate of change; and interval notation. In addition, Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews", and "Concept Checks." For readers interested in learning or revisiting essential skills in beginning algebra through the use of lively and up-to-date applications.

Table of Contents

Review of Real Numbers

Symbols and Sets of Numbers

Fractions

Exponents and Order of Operations

Introduction to Variable Expressions and Equations

Adding Real Numbers

Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Properties of Real Numbers

Reading Graphs

Equation, Inequalities, and Problem Solving

Simplifying Algebraic Expressions

The Addition Property of Equality

The Multiplication Property of Equality

Solving Linear Equations

An Introduction to Problem Solving

Formulas and Problem Solving

Percent and Problem Solving

Further Problem Solving

Solving Linear Inequalities

Graphing

The Rectangular Coordinate System

Graphing Linear Equations

Intercepts

Slope

Graphing Linear Inequalities

Exponents and Polynomials

Exponents

Adding and Subtracting Polynomials

Multiplying Polynomials

Special Products

Negative Exponents and Scientific Notation

Division of Polynomials

Factoring Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the Form ax2 + bx + c

Factoring Binomials

Choosing a Factoring Strategy

Solving Quadratic Equations by Factoring

Quadratic Equations and Problem Solving

Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators

Adding and Subtracting Rational Expressions with Unlike Denominators

Simplifying Complex Fractions

Solving Equations Containing Rational Expressions

Ratio and Proportion

Rational Equations and Problem Solving

Further Graphing

The Slope-Intercept Form

The Point-Slope Form

Graphing Nonlinear Equations

An Introduction to Functions

Solving Systems of Linear Equations

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Addition

Systems of Linear Equations and Problem Solving

Systems of Linear Inequalities

Roots and Radicals

Introduction to Radicals

Simplifying Radicals

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Solving Equations Containing Radicals

Radical Equations and Problem Solving

Rational Exponents

Solving Quadratic Equations

Solving Quadratic Equations by the Square Root Method

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by the Quadratic Formula

Summary of Methods for Solving Quadratic Equations

Complex Solutions to Quadratic Equations

Graphing Quadratic Equations

Appendices

Operations on Decimals

Review of Angles, Lines, and Special Triangles

Review of Geometric Figures

Mean, Median, and Mode

Table of Squares and Square Roots

Answers to Selected Exercises

Index

Photo Credits

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