9780134178141

Introductory & Intermediate Algebra for College Students

Robert F. Blitzer

5th Edition

Gets them engaged. Keeps them engaged. Bob Blitzer's use of realistic applications instantly piques students' curiosity about the presence of mathematical concepts in the world around them. These applications are apparent throughout the entire program--from his relatable examples, friendly writing style, and thought-provoking features in the textbook, to the enhanced digi

1.1

Introduction to Algebra: Variables and Mathematical Models

Concept and Vocabulary Check

p.10

Exercise Set

p.11

1.2

Fractions in Algebra

Concept and Vocabulary Check

p.28

Exercise Set

p.29

1.3

The Real Numbers

Concept and Vocabulary Check

p.41

Exercise Set

p.41

1.4

Basic Rules of Algebra

Concept and Vocabulary Check

p.53

Exercise Set

p.53

Mid-Chapter Check Point

p.55

1.5

Addition of Real Numbers

Concept and Vocabulary Check

p.62

Exercise Set

p.62

1.6

Subtraction of Real Numbers

Concept and Vocabulary Check

p.70

Exercise Set

p.70

1.7

Multiplication and Division of Real Numbers

Concept and Vocabulary Check

p.84

Exercise Set

p.84

1.8

Exponents and Order of Operations

Concept and Vocabulary Check

p.99

Exercise Set

p.99

Review Exercises

p.108

Chapter Test

p.111

2.1

The Addition Property of Equality

Concept and Vocabulary Check

p.120

Exercise Set

p.120

2.2

The Multiplication Property of Equality

Concept and Vocabulary Check

p.129

Exercise Set

p.130

2.3

Solving Linear Equations

Concept and Vocabulary Check

p.141

Exercise Set

p.141

2.4

Formulas and Percents

Concept and Vocabulary Check

p.152

Exercise Set

p.152

Mid-Chapter Check Point

p.155

2.5

An Introduction to Problem Solving

Concept and Vocabulary Check

p.164

Exercise Set

p.165

2.6

Problem Solving in Geometry

Concept and Vocabulary Check

p.176

Exercise Set

p.177

2.7

Solving Linear Inequalities

Concept and Vocabulary Check

p.194

Exercise Set

p.195

Review Exercises

p.203

Chapter Test

p.206

Cumulative Review Exercises

p.207

3.1

Graphing Linear Equations in Two Variables

Concept and Vocabulary Check

p.219

Exercise Set

p.220

3.2

Graphing Linear Equations Using Intercepts

Concept and Vocabulary Check

p.231

Exercise Set

p.231

3.3

Slope

Concept and Vocabulary Check

p.241

Exercise Set

p.241

3.4

The Slope-Intercept Form of the Equation of a Line

Concept and Vocabulary Check

p.251

Exercise Set

p.252

Mid-Chapter Check Point

p.254

3.5

The Point-Slope Form of the Equation of a Line

Concept and Vocabulary Check

p.262

Exercise Set

p.262

Review Exercises

p.269

Chapter Test

p.272

Cumulative Review Exercises

p.273

4.1

Solving Systems of Linear Equations by Graphing

Concept and Vocabulary Check

p.285

Exercise Set

p.285

4.2

Solving Systems of Linear Equations by the Substitution Method

Concept and Vocabulary Check

p.294

Exercise Set

p.294

4.3

Solving Systems of Linear Equations by the Addition Method

Concept and Vocabulary Check

p.303

Exercise Set

p.304

Mid-Chapter Check Point

p.306

4.4

Problem Solving Using Systems of Equations

Concept and Vocabulary Check

p.319

Exercise Set

p.319

4.5

Systems of Linear Equations in Three Variables

Concept and Vocabulary Check

p.331

Exercise Set

p.331

Review Exercises

p.339

Chapter Test

p.341

Cumulative Review Exercises

p.342

5.1

Adding and Subtracting Polynomials

Concept and Vocabulary Check

p.350

Exercise Set

p.350

5.2

Multiplying Polynomials

Concept and Vocabulary Check

p.360

Exercise Set

p.361

5.3

Special Products

Concept and Vocabulary Check

p.369

Exercise Set

p.369

5.4

Polynomials in Several Variables

Concept and Vocabulary Check

p.377

Exercise Set

p.377

Mid-Chapter Check Point

p.380

5.5

Dividing Polynomials

Concept and Vocabulary Check

p.387

Exercise Set

p.387

5.6

Long Division of Polynomials; Synthetic Division

Concept and Vocabulary Check

p.400

Exercise Set

p.401

5.7

Negative Exponents and Scientific Notation

Concept and Vocabulary Check

p.414

Exercise Set

p.414

Review Exercises

p.421

Chapter Test

p.423

Cumulative Review Exercises

p.423

6.1

The Greatest Common Factor and Factoring by Grouping

Concept and Vocabulary Check

p.432

Exercise Set

p.433

6.2

Factoring Trinomials Whose Leading Coefficient Is 1

Concept and Vocabulary Check

p.441

Exercise Set

p.442

6.3

Factoring Trinomials Whose Leading Coefficient Is Not 1

Concept and Vocabulary Check

p.449

Exercise Set

p.449

Mid-Chapter Check Point

p.452

6.4

Factoring Special Forms

Concept and Vocabulary Check

p.459

Exercise Set

p.459

6.5

A General Factoring Strategy

Concept and Vocabulary Check

p.467

Exercise Set

p.468

6.6

Solving Quadratic Equations by Factoring

Concept and Vocabulary Check

p.479

Exercise Set

p.479

Review Exercises

p.485

Chapter Test

p.486

Cumulative Review Exercises

p.487

7.1

Rational Expressions and Their Simplification

Concept and Vocabulary Check

p.497

Exercise Set

p.497

7.2

Multiplying and Dividing Rational Expressions

Concept and Vocabulary Check

p.504

Exercise Set

p.504

7.3

Adding and Subtracting Rational Expressions with the Same Denominator

Concept and Vocabulary Check

p.512

Exercise Set

p.512

7.4

Adding and Subtracting Rational Expressions with Different Denominators

Concept and Vocabulary Check

p.522

Exercise Set

p.523

Mid-Chapter Check Point

p.526

7.5

Complex Rational Expressions

Concept and Vocabulary Check

p.532

Exercise Set

p.532

7.6

Solving Rational Equations

Concept and Vocabulary Check

p.544

Exercise Set

p.544

7.7

Applications Using Rational Equations and Proportions

Concept and Vocabulary Check

p.556

Exercise Set

p.556

7.8

Modeling Using Variation

Concept and Vocabulary Check

p.568

Exercise Set

p.568

Review Exercises

p.578

Chapter Test

p.580

Cumulative Review Exercises

p.581

Mid-Chapter Check Point

p.582

8.1

Introduction to Functions

Concept and Vocabulary Check

p.593

Exercise Set

p.593

8.2

Graphs of Functions

Concept and Vocabulary Check

p.604

Exercise Set

p.604

8.3

The Algebra of Functions

Concept and Vocabulary Check

p.616

Exercise Set

p.616

Mid-Chapter Check Point

p.619

8.4

Composite and Inverse Functions

Concept and Vocabulary Check

p.629

Exercise Set

p.630

Review Exercises

p.637

Chapter Test

p.639

Cumulative Review Exercises

p.639

9.1

Reviewing Linear Inequalities and Using Inequalities in Business Applications

Concept and Vocabulary Check

p.649

Exercise Set

p.650

9.2

Compound Inequalities

Concept and Vocabulary Check

p.660

Exercise Set

p.660

9.3

Equations and Inequalities Involving Absolute Value

Concept and Vocabulary Check

p.671

Exercise Set

p.671

Mid-Chapter Check Point

p.674

9.4

Linear Inequalities in Two Variables

Concept and Vocabulary Check

p.682

Exercise Set

p.682

Review Exercises

p.688

Chapter Test

p.689

Cumulative Review Exercises

p.690

10.1

Radical Expressions and Functions

Concept and Vocabulary Check

p.701

Exercise Set

p.701

10.2

Rational Exponents

Concept and Vocabulary Check

p.711

Exercise Set

p.711

10.3

Multiplying and Simplifying Radical Expressions

Concept and Vocabulary Check

p.720

Exercise Set

p.720

10.4

Adding, Subtracting, and Dividing Radical Expressions

Concept and Vocabulary Check

p.728

Exercise Set

p.728

Mid-Chapter Check Point

p.731

10.5

Multiplying with More Than One Term and Rationalizing Denominators

Concept and Vocabulary Check

p.739

Exercise Set

p.739

10.6

Radical Equations

Concept and Vocabulary Check

p.749

Exercise Set

p.749

10.7

Complex Numbers

Concept and Vocabulary Check

p.759

Exercise Set

p.760

Review Exercises

p.766

Chapter Test

p.768

Cumulative Review Exercises

p.769

11.1

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

Concept and Vocabulary Check

p.784

Exercise Set

p.784

11.2

The Quadratic Formula

Concept and Vocabulary Check

p.799

Exercise Set

p.799

11.3

Quadratic Functions and Their Graphs

Concept and Vocabulary Check

p.817

Exercise Set

p.817

Mid-Chapter Check Point

p.821

11.4

Equations Quadratic in Form

Concept and Vocabulary Check

p.827

Exercise Set

p.827

11.5

Polynomial and Rational Inequalities

Concept and Vocabulary Check

p.840

Exercise Set

p.841

Review Exercises

p.849

Chapter Test

p.851

Cumulative Review Exercises

p.853

12.1

Exponential Functions

Concept and Vocabulary Check

p.865

Exercise Set

p.865

12.2

Logarithmic Functions

Concept and Vocabulary Check

p.880

Exercise Set

p.880

12.3

Properties of Logarithms

Concept and Vocabulary Check

p.892

Exercise Set

p.892

Mid-Chapter Check Point

p.895

12.4

Exponential and Logarithmic Equations

Concept and Vocabulary Check

p.905

Exercise Set

p.906

12.5

Exponential Growth and Decay; Modeling Data

Concept and Vocabulary Check

p.919

Exercise Set

p.920

Review Exercises

p.928

Chapter Test

p.931

Cumulative Review Exercises

p.933

13.1

The Circle

Concept and Vocabulary Check

p.941

Exercise Set

p.941

13.2

The Ellipse

Concept and Vocabulary Check

p.952

Exercise Set

p.953

13.3

The Hyperbola

Concept and Vocabulary Check

p.962

Exercise Set

p.963

Mid-Chapter Check Point

p.965

13.4

The Parabola; Identifying Conic Sections

Concept and Vocabulary Check

p.974

Exercise Set

p.974

13.5

Systems of Nonlinear Equations in Two Variables

Concept and Vocabulary Check

p.985

Exercise Set

p.986

Review Exercises

p.991

Chapter Test

p.993

Cumulative Review Exercises

p.993

14.1

Sequences and Summation Notation

Concept and Vocabulary Check

p.1002

Exercise Set

p.1003

14.2

Arithmetic Sequences

Concept and Vocabulary Check

p.1013

Exercise Set

p.1013

14.3

Geometric Sequences and Series

Concept and Vocabulary Check

p.1027

Exercise Set

p.1028

Mid-Chapter Check Point

p.1032

14.4

The Binomial Theorem

Concept and Vocabulary Check

p.1038

Exercise Set

p.1038

Review Exercises

p.1043

Chapter Test

p.1045

Cumulative Review Exercises

p.1046