Elementary And Intermediate Algebra

by Woodbury, George

Edition:

2nd

ISBN13:

9780321166401

ISBN10:

032116640X

Format:

Hardcover

Pub. Date:

1/1/2009

Publisher(s):

Addison Wesley

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Summary

Students will get more out of Elementary and Intermediate Algebra through George Woodbury's concise narrative and focused topic flow. By writing this text from the ground up as a single textbook, George has reduced the amount of overlap typically found in these courses and focused instead on providing more exercises and applications. As a result, your students will be better prepared for higher-level mathematics courses.

Preface

Review of Real Numbers

(64)

Integers, Opposites, and Absolute Value

(5)

Operations with Integers

(9)

Fractions

(5)

Operations with Fractions

(7)

Decimals and Percents

(7)

Representing Data Graphically

(10)

Exponents and Order of Operations

(5)

Introduction to Algebra

(15)

Linear Equations

(62)

Introduction to Linear Equations

(9)

Solving Linear Equations: A General Strategy

(10)

Problem Solving; Applications of Linear Equations

(13)

Applications Involving Percents; Ratio and Proportion

(11)

Linear Inequalities

109

(18)

Graphing Linear Equations

127

(94)

The Rectangular Coordinate System; Equations in Two Variables

128

(11)

Graphing Linear Equations and Their Intercepts

139

(14)

Slope of a Line

153

(17)

Linear Functions

170

(12)

Parallel and Perpendicular Lines

182

(8)

Equations of Lines

190

(10)

Linear Inequalities

200

(21)

Systems of Equations

221

(62)

Systems of Linear Equations; Solving Systems Graphically

222

(10)

The Substitution Method for Solving Systems of Equations

232

(9)

Solving Systems of Equations by the Addition Method

241

(10)

Applications of Systems of Equations

251

(12)

Systems of Linear Inequalities

263

(20)

Exponents and Polynomials

283

(48)

Exponents

284

(9)

Negative Exponents; Scientific Notation

293

(10)

Polynomials; Addition and Subtraction of Polynomials

303

(7)

Multiplying Polynomials

310

(7)

Division of Polynomials

317

(14)

Factoring and Quadratic Equations

331

(62)

An Introduction to Factoring; The Greatest Common Factor; Factoring by Grouping

332

(7)

Factoring Trinomials of the Form x2 + bx + c

339

(7)

Factoring Trinomials of the Form ax2 + bx + c

346

(6)

Factoring Special Binomials

352

(7)

Factoring Polynomials: A General Strategy

359

(5)

Solving Quadratic Equations by Factoring

364

(7)

Quadratic Functions

371

(7)

Applications of Quadratic Equations and Quadratic Functions

378

(15)

Rational Expressions and Equations

393

(67)

Rational Expressions and Functions

394

(9)

Multiplication and Division of Rational Expressions

403

(8)

Addition and Subtraction of Rational Expressions with the Same Denominator

411

(7)

Addition and Subtraction of Rational Expressions with Unlike Denominators

418

(7)

Complex Fractions

425

(6)

Rational Equations

431

(7)

Applications of Rational Equations

438

(22)

A Transition

460

(60)

Linear Equations and Absolute Value Equations

461

(7)

Linear Inequalities and Absolute Value Inequalities

468

(10)

Graphing Linear Equations and Linear Functions; Graphing Absolute Value Functions

478

(15)

Review of Factoring; Quadratic Equations and Rational Equations

493

(8)

Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns)

501

(19)

Radical Expressions and Equations

520

(61)

Square Roots; Radical Notation

521

(9)

Rational Exponents

530

(6)

Simplifying Radical Expressions; Adding and Subtracting Radical Expressions

536

(6)

Multiplication and Division of Radical Expressions

542

(11)

Radical Equations

553

(7)

Applications of Radical Equations

560

(4)

The Complex Numbers

564

(17)

Quadratic Equations

581

(70)

Solving Quadratic Equations by Extracting Square Roots; Completing the Square

582

(8)

The Quadratic Formula

590

(9)

Applications Using Quadratic Equations

599

(9)

Equations that are Quadratic in Form

608

(8)

Graphing Quadratic Equations and Quadratic Functions

616

(13)

Quadratic and Rational Inequalities

629

(22)

Functions

651

(98)

Review of Functions

652

(13)

Linear Functions

665

(11)

Quadratic Functions

676

(16)

Other Functions and Their Graphs

692

(15)

The Algebra of Functions

707

(13)

Inverse Functions

720

(29)

Logarithmic and Exponential Functions

749

(84)

Exponential Functions

750

(15)

Logarithmic Functions

765

(16)

Properties of Logarithms

781

(10)

Exponential and Logarithmic Equations

791

(11)

Applications of Exponential and Logarithmic Functions

802

(13)

Graphing Exponential and Logarithmic Functions

815

(18)

Conic Sections

833

(88)

Parabolas

834

(16)

Circles

850

(16)

Ellipses

866

(15)

Hyperbolas

881

(21)

Nonlinear Systems of Equations

902

(19)

Sequences, Series, and the Binomial Theorem

921

Sequences and Series

922

(7)

Arithmetic Sequences and Series

929

(7)

Geometric Sequences and Series

936

(9)

The Binomial Theorem

945

Appendix A Using Matrices to Solve Systems of Equations

(4)

Appendix B Synthetic Division

Answers to Selected Exercises

(1)

Photo Acknowledgments

(1)

Index of Applications

(3)

Index

Elementary And Intermediate Algebra

9780321166401

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Table of Contents