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Algebra for College Students

by: Blitzer, Robert

Algebra for College Students

by: Blitzer, Robert

ISBN 13:
9780137002122
ISBN 10:
0137002122
Edition: 3rd
Format: Hardcover
Copyright: 08/01/1997
Publisher: Pearson College Div
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Summary

The material is presented in an interesting and inviting format that utilizes "real world" data and encourages modeling, critical thinking and problem solving.

Preface

(14)

To the Student

xxiii

CHAPTER 1 Algebra and Problem Solving

(128)

1.1 The Real Numbers and the Number Line

(15)

1.2 Operations with the Real Numbers and Algebraic Expressions

(12)

1.3 Graphing Equations

(15)

1.4 Properties of Integral Exponents

(13)

1.5 Scientific Notation

(8)

1.6 Solving Linear Equations

(12)

1.7 Mathematical Models

(12)

1.8 Strategies for Solving Problems

(24)

Chapter Project

113

(2)

Summary

115

(2)

Review Problems

117

(8)

Chapter Test

125

(4)

CHAPTER 2 Functions, Linear Functions, and Inequalities

129

(94)

2.1 Introduction to Functions

130

(15)

2.2 Linear Functions and Slope

145

(19)

2.3 The Point-Slope Equation of a Line

164

(11)

2.4 Solving Linear Inequalities

175

(9)

2.5 Compound Inequalities

184

(11)

2.6 Equations and Inequalities Involving Absolute Value

195

(8)

2.7 Linear Inequalities Containing Two Variables

203

(7)

Chapter Project

210

(2)

Summary

212

(2)

Review Problems

214

(5)

Chapter Test

219

(4)

CHAPTER 3 Systems of Linear Equations and Inequalities

223

(92)

3.1 Linear Systems of Equations in Two Variables

224

(16)

3.2 Problem Solving and Modeling Using Systems of Equations

240

(15)

3.3 Linear Systems of Equations in Three Variables

255

(14)

3.4 Matrix Solutions to Linear Systems

269

(12)

3.5 Solving Linear Systems of Equations Using Determinants and Cramer's Rule

281

(10)

3.6 Systems of Linear Inequalities and Linear Programming

291

(12)

Chapter Project

303

(2)

Summary

305

(2)

Review Problems

307

(3)

Chapter Test

310

(2)

Cumulative Review Problems (Chapters 1 - 3)

312

(3)

CHAPTER 4 Polynomials, Polynomial Functions, and Factoring

315

(96)

4.1 Introduction to Polynomials and Polynomial Functions

316

(15)

4.2 Multiplication of Polynomials

331

(15)

4.3 Greatest Common Factors and Factoring by Grouping

346

(7)

4.4 Factoring Trinomials

353

(14)

4.5 Factoring Special Forms

367

(9)

4.6 A General Factoring Strategy

376

(7)

4.7 Polynomial Equations, Modeling, and Problem Solving

383

(18)

Chapter Project

401

(2)

Summary

403

(1)

Review Problems

404

(3)

Chapter Test

407

(1)

Cumulative Review Problems (Chapters 1-4)

408

(3)

CHAPTER 5 Rational Expressions, Functions, and Equations

411

(90)

5.1 Rational Expressions and Functions: Multiplying and Dividing

412

(21)

5.2 Adding and Subtracting Rational Expressions

433

(14)

5.3 Dividing Polynomials

447

(12)

5.4 Rational Equations, Modeling, and Problem Solving

459

(19)

5.5 Modeling Using Variation

478

(13)

Chapter Project

491

(1)

Summary

492

(2)

Review Problems

494

(3)

Chapter Test

497

(1)

Cumulative Review Problems (Chapters 1-5)

498

(3)

CHAPTER 6 Radicals, Radical Functions, and Rational Exponents

501

(90)

6.1 Radicals and Radical Functions

502

(14)

6.2 Inverse Properties of nth Powers and nth Roots; Rational Exponents

516

(12)

6.3 Multiplying and Simplifying Radical Expressions

528

(7)

6.4 Dividing and Simplifying Radical Expressions

535

(10)

6.5 Further Operations with Radicals

545

(11)

6.6 Radical Equations

556

(10)

6.7 Imaginary and Complex Numbers

566

(15)

Chapter Project

581

(1)

Summary

582

(2)

Review Problems

584

(3)

Chapter Test

587

(1)

Cumulative Review Problems (Chapters 1-6)

588

(3)

CHAPTER 7 Quadratic Equations and Functions

591

(82)

7.1 Solving Quadratic Equations by the Square Root Method

592

(16)

7.2 Completing the Square and Graphs of Quadratic Functions

608

(12)

7.3 The Quadratic Formula

620

(17)

7.4 Problem Solving and Equations That Are Quadratic in Form

637

(13)

7.5 Solving Quadratic and Rational Inequalities

650

(12)

Chapter Project

662

(1)

Summary

663

(2)

Review Problems

665

(3)

Chapter Test

668

(2)

Cumulative Review Problems (Chapters 1-7)

670

(3)

CHAPTER 8 Exponential and Logarithmic Functions

673

(88)

8.1 Exponential Functions

674

(14)

8.2 Composite and Inverse Functions

688

(12)

8.3 Logarithmic Functions

700

(13)

8.4 Properties of Logarithmic Functions

713

(11)

8.5 Solving Exponential and Logarithmic Equations

724

(14)

8.6 Modeling with Exponential and Logarithmic Functions

738

(11)

Chapter Project

749

(2)

Summary

751

(1)

Review Problems

752

(5)

Chapter Test

757

(1)

Cumulative Review Problems (Chapters 1-8)

758

(3)

CHAPTER 9 Conic Sections and Nonlinear Systems of Equations

761

(50)

9.1 Conic Sections: Circles and Parabolas

762

(10)

9.2 Conic Sections: Ellipses and Hyperbolas

772

(17)

9.3 Nonlinear Systems of Equations

789

(15)

Chapter Project

804

(2)

Summary

806

(1)

Review Problems

807

(2)

Chapter Test

809

(1)

Cumulative Review Problems (Chapters 1-9)

809

(2)

CHAPTER 10 Polynomial and Rational Functions

811

(58)

10.1 Polynomial Functions and their Graphs

812

(15)

10.2 Polynomial Equations Having Rational Solutions

827

(17)

10.3 Rational Functions

844

(17)

Chapter Project

861

(2)

Summary

863

(1)

Review Problems

864

(2)

Chapter Test

866

(1)

Cumulative Review Problems (Chapters 1-10)

867

(2)

CHAPTER 11 Sequences, Probability, and Mathematical Induction

869

11.1 Sequences and Series

870

(14)

11.2 Arithmetic Sequences and Series

884

(11)

11.3 Geometric Sequences and Series

895

(17)

11.4 The Binomial Theorem

912

(8)

11.5 Counting Principles, Permutations, and Combinations

920

(13)

11.6 An Introduction to Probability

933

(14)

11.7 Mathematical Induction

947

(11)

Chapter Project

958

(2)

Summary

960

(2)

Review Problems

962

(6)

Chapter Test

968

APPENDIX Review Problems Covering the Entire Book

Answers to Selected Exercises

AA1

Index

I-1

Index of Applications

Inside front cover

Definitions, Rules, and Formulas

Inside back cover

Amazon no longer offers textbook rentals. We do!

Algebra for College Students

Algebra for College Students

9780137002122

0137002122

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Algebra for College Students

Algebra for College Students

9780137002122

0137002122

Summary

Table of Contents

Supplemental Materials

Write a Review

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