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Introductory and Intermediate Algebra for College Students

by: Blitzer, Robert F; Blitzer, Robert F.

Introductory and Intermediate Algebra for College Students

by: Blitzer, Robert F; Blitzer, Robert F.

ISBN 13:
9780131492592
ISBN 10:
0131492594
Edition: 2nd
Format: Hardcover
Copyright: 01/01/2006
Publisher: Prentice Hall
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Summary

Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.

Preface

To the Student

About the Author

xxii

The Real Number System

(101)

Fractions

(15)

The Real Numbers

(11)

Ordered Pairs and Graphs

(9)

Basic Rules of Algebra

(14)

Mid-Chapter Check Point

(2)

Addition of Real Numbers

(8)

Subtraction of Real Numbers

(7)

Multiplication and Division of Real Numbers

(12)

Exponents, Order of Operations, and Mathematical Models

(24)

Group Project

(1)

Summary

(5)

Review Exercises

(3)

Chapter Test

100

(2)

Linear Equations and Inequalities in One Variable

102

(82)

The Addition Property of Equality

103

(8)

The Multiplication Property of Equality

111

(7)

Solving Linear Equations

118

(8)

Formulas and Percents

126

(12)

Mid-Chapter Check Point

137

(1)

An Introduction to Problem Solving

138

(11)

Problem Solving in Geometry

149

(12)

Solving Linear Inequalities

161

(23)

Group Project

173

(1)

Summary

174

(5)

Review Exercises

179

(2)

Chapter Test

181

(2)

Cumulative Review Exercises (Chapters 1--2)

183

(1)

Linear Equations in Two Variables

184

(61)

Graphing Equations in Two Variables

185

(12)

Graphing Linear Equations Using Intercepts

197

(11)

Slope

208

(8)

The Slope-Intercept Form of the Equation of a Line

216

(10)

Mid-Chapter Check Point

225

(1)

The Point-Slope Form of the Equation of a Line

226

(19)

Group Project

236

(1)

Summary

236

(4)

Review Exercises

240

(2)

Chapter Test

242

(2)

Cumulative Review Exercises (Chapters 1--3)

244

(1)

Systems of Linear Equations

245

(60)

Solving Systems of Linear Equations by Graphing

246

(9)

Solving Systems of Linear Equations by the Substitution Method

255

(8)

Solving Systems of Linear Equations by the Addition Method

263

(8)

Mid-Chapter Check Point

271

(1)

Problem Solving Using Systems of Equations

271

(15)

Systems of Linear Equations in Three Variables

286

(19)

Group Project

297

(1)

Summary

298

(3)

Review Exercises

301

(2)

Chapter Test

303

(1)

Cumulative Review Exercises (Chapters 1--4)

304

(1)

Exponents and Polynomials

305

(77)

Adding and Subtracting Polynomials

306

(9)

Multiplying Polynomials

315

(10)

Special Products

325

(9)

Polynomials in Several Variables

334

(8)

Mid-Chapter Check Point

341

(1)

Dividing Polynomials

342

(8)

Long Division of Polynomials; Synthetic Division

350

(12)

Negative Exponents and Scientific Notation

362

(20)

Group Project

375

(1)

Summary

375

(3)

Review Exercises

378

(2)

Chapter Test

380

(1)

Cumulative Review Exercises (Chapters 1--5)

381

(1)

Factoring Polynomials

382

(59)

The Greatest Common Factor and Factoring by Grouping

383

(8)

Factoring Trinomials Whose Leading Coefficient Is One

391

(8)

Factoring Trinomials Whose Leading Coefficient Is Not One

399

(8)

Mid-Chapter Check Point

407

(1)

Factoring Special Forms

407

(7)

A General Factoring Strategy

414

(9)

Solving Quadratic Equations by Factoring

423

(18)

Group Project

435

(1)

Summary

435

(2)

Review Exercises

437

(2)

Chapter Test

439

(1)

Cumulative Review Exercises (Chapters 1--6)

440

(1)

Rational Expressions

441

(89)

Rational Expressions and Their Simplification

442

(10)

Multiplying and Dividing Rational Expressions

452

(6)

Adding and Subtracting Rational Expressions with the Same Denominator

458

(8)

Adding and Subtracting Rational Expressions with Different Denominators

466

(12)

Mid-Chapter Check Point

477

(1)

Complex Rational Expressions

478

(7)

Solving Rational Equations

485

(10)

Applications Using Rational Equations and Proportions

495

(12)

Modeling Using Variation

507

(23)

Group Project

517

(1)

Summary

518

(5)

Review Exercises

523

(3)

Chapter Test

526

(1)

Cumulative Review Exercises (Chapters 1--7)

527

(1)

Mid-Textbook Check Point

528

(2)

Basics of Functions

530

(48)

Introduction to Functions

531

(15)

The Algebra of Functions

546

(11)

Mid-Chapter Check Point

556

(1)

Composite and Inverse Functions

557

(21)

Group Project

571

(1)

Summary

571

(2)

Review Exercises

573

(3)

Chapter Test

576

(1)

Cumulative Review Exercises (Chapters 1--8)

576

(2)

Inequalities and Problem Solving

578

(59)

Interval Notation and Business Applications Using Linear Inequalities

579

(13)

Compound Inequalities

592

(9)

Equations and Inequalities Involving Absolute Value

601

(9)

Mid-Chapter Check Point

609

(1)

Linear Inequalities in Two Variables

610

(11)

Linear Programming

621

(16)

Group Project

629

(1)

Summary

629

(4)

Review Exercises

633

(2)

Chapter Test

635

(1)

Cumulative Review Exercises (Chapters 1--9)

636

(1)

Radicals, Radical Functions, and Rational Exponents

637

(80)

Radical Expressions and Functions

638

(12)

Rational Exponents

650

(12)

Multiplying and Simplifying Radical Expressions

662

(8)

Adding, Subtracting, and Dividing Radical Expressions

670

(8)

Mid-Chapter Check Point

677

(1)

Multiplying with More Than One Term and Rationalizing Denominators

678

(12)

Radical Equations

690

(10)

Complex Numbers

700

(17)

Group Project

709

(1)

Summary

709

(4)

Review Exercises

713

(2)

Chapter Test

715

(1)

Cumulative Review Exercises (Chapters 1--10)

716

(1)

Quadratic Equations and Functions

717

(81)

The Square Root Property and Completing the Square; Distance and Midpoint Formulas

718

(17)

The Quadratic Formula

735

(15)

Quadratic Functions and Their Graphs

750

(18)

Mid-Chapter Check Point

767

(1)

Equations Quadratic in Form

768

(7)

Polynomial and Rational Inequalities

775

(23)

Group Project

788

(1)

Summary

789

(4)

Review Exercises

793

(3)

Chapter Test

796

(1)

Cumulative Review Exercises (Chapters 1--11)

797

(1)

Exponential and Logarithmic Functions

798

(74)

Exponential Functions

799

(13)

Logarithmic Functions

812

(13)

Properties of Logarithms

825

(11)

Mid-Chapter Check Point

835

(1)

Exponential and Logarithmic Equations

836

(12)

Exponential Growth and Decay; Modeling Data

848

(24)

Group Project

862

(1)

Summary

862

(3)

Review Exercises

865

(4)

Chapter Test

869

(1)

Cumulative Review Exercises (Chapters 1--12)

870

(2)

Conic Sections and Systems of Nonlinear Equations

872

(61)

The Circle

873

(7)

The Ellipse

880

(12)

The Hyperbola

892

(10)

Mid-Chapter Check Point

901

(1)

The Parabola; Identifying Conic Sections

902

(12)

Systems of Nonlinear Equations in Two Variables

914

(19)

Group Project

925

(1)

Summary

926

(3)

Review Exercises

929

(2)

Chapter Test

931

(1)

Cumulative Review Exercises (Chapters 1--13)

931

(2)

Sequences, Series, and Probability

933

(81)

Sequences and Summation Notation

934

(10)

Arithmetic Sequences

944

(10)

Geometric Sequences and Series

954

(16)

Mid-Chapter Check Point

969

(1)

The Binomial Theorem

970

(8)

Counting Principles, Permutations, and Combinations

978

(12)

Probability

990

(24)

Group Project

1004

(1)

Summary

1005

(4)

Review Exercises

1009

(2)

Chapter Test

1011

(2)

Cumulative Review Exercises (Chapters 1--14)

1013

(1)

Appendix A Matrix Solutions to Linear Systems

1014

(10)

Appendix B Determinants and Cramer's Rule

1024

(10)

Appendix C Where Did That Come From? Selected Proofs

1034

Answers to Selected Exercises

(1)

Applications Index

(1)

Subject Index

(1)

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Introductory and Intermediate Algebra for College Students

Introductory and Intermediate Algebra for College Students

9780131492592

0131492594

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Introductory and Intermediate Algebra for College Students

Introductory and Intermediate Algebra for College Students

9780131492592

0131492594

Summary

Table of Contents

Supplemental Materials

Write a Review

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