Intermediate Algebra

by Carson, Tom; Jordan, Bill E.

Edition:

3rd

ISBN13:

9780321358356

ISBN10:

032135835X

Format:

Hardcover

Pub. Date:

1/1/2011

Publisher(s):

Addison Wesley

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Summary

While using Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses. Book jacket.

Preface

To the Student

xvii

Learning Styles Inventory

xxiii

Real Numbers and Expressions

(54)

Sets and the Structure of Algebra

(10)

Operations with Real Numbers; Properties of Real Numbers

(12)

Exponents, Roots, and Order of Operations

(11)

Evaluating and Rewriting Expressions

(20)

Summary

(4)

Review Exercises

(4)

Practice Test

(1)

Linear Equations and Inequalities in One Variable

(80)

Linear Equations and Formulas

(10)

Solving Problems

(16)

Solving Linear Inequalities

(12)

Compound Inequalities

(14)

Equations Involving Absolute Value

108

(5)

Inequalities Involving Absolute Value

113

(22)

Summary

121

(6)

Review Exercises

127

(5)

Practice Test

132

(3)

Equations and Inequalities in Two Variables and Functions

135

(88)

Graphing Linear Equations

136

(14)

The Slope of a Line

150

(15)

The Equation of a Line

165

(14)

Graphing Linear Inequalities

179

(9)

Introduction to Functions and Function Notation

188

(35)

Summary

206

(6)

Review Exercises

212

(5)

Practice Test

217

(2)

Chapters 1--3 Cumulative Review Exercises

219

(4)

Systems of Linear Equations and Inequalities

223

(86)

Solving Systems of Linear Equations in Two Variables

224

(20)

Solving Systems of Linear Equations in Three Variables

244

(8)

Solving Applications Using Systems of Equations

252

(15)

Solving Systems of Linear Equations Using Matrices

267

(11)

Solving Systems of Linear Equations Using Cramer's Rule

278

(10)

Solving Systems of Linear Inequalities

288

(21)

Summary

297

(6)

Review Exercises

303

(4)

Practice Test

307

(2)

Polynomials

309

(74)

Exponents and Scientific Notation

310

(15)

Polynomials and Polynomial Functions

325

(16)

Multiplying Polynomials

341

(12)

Dividing Polynomials

353

(10)

Synthetic Division and the Remainder Theorem

363

(20)

Summary

370

(5)

Review Exercises

375

(5)

Practice Test

380

(3)

Factoring

383

(64)

Greatest Common Factor and Factoring by Grouping

384

(10)

Factoring Trinomials

394

(12)

Factoring Special Products and Factoring Strategies

406

(11)

Solving Equations by Factoring

417

(30)

Summary

433

(5)

Review Exercises

438

(4)

Practice Test

442

(1)

Chapters 1--6 Cumulative Review Exercises

443

(4)

Rational Expressions and Equations

447

(86)

Simplifying, Multiplying, and Dividing Rational Expressions

448

(17)

Adding and Subtracting Rational Expressions

465

(13)

Simplifying Complex Rational Expressions

478

(11)

Solving Equations Containing Rational Expressions

489

(11)

Applications with Rational Expressions; Variation

500

(33)

Summary

518

(7)

Review Exercises

525

(5)

Practice Test

530

(3)

Rational Exponents, Radicals, and Complex Numbers

533

(88)

Radical Expressions and Functions

534

(12)

Rational Exponents

546

(12)

Multiplying, Dividing, and Simplifying Radicals

558

(9)

Adding, Subtracting, and Multiplying Radical Expressions

567

(9)

Rationalizing Numerators and Denominators of Radical Expressions

576

(12)

Radical Equations and Problem Solving

588

(11)

Complex Numbers

599

(22)

Summary

607

(6)

Review Exercises

613

(6)

Practice Test

619

(2)

Quadratic Equations

621

(82)

Completing the Square

622

(13)

Solving Quadratic Equations Using the Quadratic Formula

635

(12)

Solving Equations That Are Quadratic in Form

647

(11)

Graphing Quadratic Functions

658

(15)

Solving Nonlinear Inequalities

673

(30)

Summary

687

(5)

Review Exercises

692

(4)

Practice Test

696

(2)

Chapters 1--9 Cumulative Review Exercises

698

(5)

Exponential and Logarithmic Functions

703

(84)

Composite and Inverse Functions

704

(14)

Exponential Functions

718

(12)

Logarithmic Functions

730

(10)

Properties of Logarithms

740

(9)

Common and Natural Logarithms

749

(7)

Exponential and Logarithmic Equations with Applications

756

(31)

Summary

770

(9)

Review Exercises

779

(6)

Practice Test

785

(2)

Conic Sections

787

(1)

The Parabola and Circle

788

(14)

Ellipses and Hyperbolas

802

(14)

Nonlinear Systems of Equations

816

(7)

Nonlinear Inequalities and Systems of Inequalities

823

(8)

Summary

831

(7)

Review Exercises

838

(5)

Practice Test

843

(2)

Chapters 1--11 Cumulative Review Exercises

845

Appendix A Arithmetic Sequences and Series

(10)

Appendix B Geometric Sequences and Series

(10)

Appendix C The Binomial Theorem

(6)

Appendix D Permutations and Combinations

(6)

Appendix E Probability

Answers (Student edition only)

(1)

Glossary

(1)

Index

(9)

Applications Index

(4)

Photograph Credits

Intermediate Algebra

9780321358356

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