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by John Jr. Tobey, Jeffrey Slater and Jamie Blair

Edition: 2ND 06Copyright: 2006

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

John Jr. Tobey, Jeffrey Slater and Jamie Blair

Edition: 2ND 06
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A worktext format for basic college math or arithmetic courses including lecture-based, self-paced, and modular classes.

John Tobey and Jeff Slater are experienced developmental math authors and active classroom teachers. The Tobey approach focuses on building skills one at a time by breaking math down into manageable pieces. This building block organization is a practical approach to basic math skill development that makes it easier for students to understand each topic, gaining confidence as they move through each section. Knowing students crave feedback, Tobey has enhanced the new edition with a "How am I Doing?" guide to math success. The combination of continual reinforcement of basic skill development, ongoing feedback and a fine balance of exercises makes the second edition of Tobey/Slater Beginning and Intermediate Algebra even more practical and accessible.

How Am I Doing? Guide to Math Success (inside front cover)

To the Student

Preface

Acknowledgments

Diagnostic Pretest

CH. 0 - PREALGEBRA REVIEW

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

How Am I Doing? Sections 0.1--0.3

0.4 Using Decimals

0.5 Percents, Rounding, and Estimating

Chapter 0 Organizer

Chapter 0 Review Problems

How Am I Doing? Chapter 0 Test

CH. 1 - REAL NUMBERS AND VARIABLES

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

How Am I Doing? Sections 1.1--1.5

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

CH. 2 -- EQUATIONS, INEQUALITIES, AND APPLICATIONS

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

How Am I Doing? Sections 2.1--2.4

2.5 Translating English Phrases into Algebraic Expressions

2.6 Using Equations to Solve Word Problems

2.7 Solving Word Problems Using Geometric Formulas

2.8 Solving Inequalities in One Variable

Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Cumulative Test for Chapters 0--2

CH. 3 - GRAPHING AND FUNCTIONS

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 The Slope of a Line

How Am I Doing? Sections 3.1--3.3

3.4 Writing the Equation of a Line

3.5 Graphing Linear Inequalities

3.6 Functions

Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Cumulative Test for Chapters 0--3

CH. 4 - SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

How Am I Doing? Sections 4.1--4.2

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Cumulative Test for Chapters 0--4

CH. 5 - EXPONENTS AND POLYNOMIALS

5.1 The Rules of Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Fundamental Polynomial Operations

How Am I Doing? Sections 5.1--5.3

5.4 Multiplying Polynomials

5.5 Multiplication: Special Cases

5.6 Dividing Polynomials

Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Cumulative Test for Chapters 0--5

CH. 6 - FACTORING

6.1 Removing a Common Factor

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the Form x2 + bx + c

6.4 Factoring Trinomials of the Form ax2 + bx + c

How Am I Doing? Sections 6.1--6.4

6.5 Special Cases of Factoring

6.6 A Brief Review of Factoring

6.7 Solving Quadratic Equations by Factoring

Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Cumulative Test for Chapters 0--6

CH. 7 - RATIONAL EXPRESSIONS AND EQUATIONS

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 7.1--7.3

7.4 Simplifying Complex Rational Expressions

7.5 Solving Equations Involving Rational Expressions

7.6 Ratio, Proportion, and Other Applied Problems

Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Cumulative Test for Chapters 0--7

CH. 8 - RATIONAL EXPONENTS AND RADICALS

8.1 Rational Exponents

8.2 Radical Expressions and Functions

8.3 Simplifying, Adding, and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 8.1--8.4

8.5 Radical Equations

8.6 Complex Numbers

8.7 Variation

Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Cumulative Test for Chapters 0--8

CH. 9 - QUADRATIC EQUATIONS AND INEQUALITIES

9.1 Quadratic Equations

9.2 The Quadratic Formula and Solutions to Quadratic Equations

9.3 Equations that can be Transformed into Quadratic Form

How Am I Doing? Sections 9.1--9.3

9.4 Formulas and Applications

9.5 Quadratic Functions

9.6 Compound Inequalities and Quadratic Inequalities

9.7 Absolute Value Equations and Inequalities

Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Cumulative Test for Chapters 0--9

CH. 10 - THE CONIC SECTIONS

10.1 The Distance Formula and the Circle

10.2 The Parabola

10.3 The Ellipse

How Am I Doing? Sections 10.1--10.3

10.4 The Hyperbola

10.5 Nonlinear Systems of Equations

Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Cumulative Test for Chapters 0--10

CH. 11 - ADDITIONAL PROPERTIES OF FUNCTIONS

11.1 Function Notation

11.2 General Graphing Procedures for Functions

How Am I Doing? Sections 11.1--11.2

11.3 Algebraic Operations on Functions

11.4 Inverse of a Function

Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Cumulative Test for Chapters 0--11

Ch. 12 - LOGARITHMIC AND EXPONENTIAL FUNCTIONS

12.1 The Exponential Function

12.2 The Logarithmic Function

12.3 Properties of Logarithms

How Am I Doing? Sections 12.1--12.3

12.4 Common Logarithms, Natural Logarithms, and Change of Base

12.5 Exponential and Logarithmic Equations

Chapter 12 Organizer

Chapter 12 Review Problems

How Am I Doing? Chapter 12 Test

Cumulative Test for Chapters 0--12

Practice Final Examination

Glossary

Appendix A: Foundations for Intermediate Algebra

A.1 Exponents and the Order of Operations

A.2 Polynomial Operations

A.3 Factoring

Appendix B: Mathematics Blueprint for Problem Solving

Appendix C: Practice with Operations of Whole Numbers

Appendix D: Tables

Appendix E: Determinants and Cramer's Rule

Appendix F: Solving Systems of Linear Equations Using Matrices

Appendix G: Sets

Solutions to Practice Problems

Answers to Selected Exercises

Applications Index

Index

Photo Credits

Summary

A worktext format for basic college math or arithmetic courses including lecture-based, self-paced, and modular classes.

John Tobey and Jeff Slater are experienced developmental math authors and active classroom teachers. The Tobey approach focuses on building skills one at a time by breaking math down into manageable pieces. This building block organization is a practical approach to basic math skill development that makes it easier for students to understand each topic, gaining confidence as they move through each section. Knowing students crave feedback, Tobey has enhanced the new edition with a "How am I Doing?" guide to math success. The combination of continual reinforcement of basic skill development, ongoing feedback and a fine balance of exercises makes the second edition of Tobey/Slater Beginning and Intermediate Algebra even more practical and accessible.

Table of Contents

How Am I Doing? Guide to Math Success (inside front cover)

To the Student

Preface

Acknowledgments

Diagnostic Pretest

CH. 0 - PREALGEBRA REVIEW

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

How Am I Doing? Sections 0.1--0.3

0.4 Using Decimals

0.5 Percents, Rounding, and Estimating

Chapter 0 Organizer

Chapter 0 Review Problems

How Am I Doing? Chapter 0 Test

CH. 1 - REAL NUMBERS AND VARIABLES

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

How Am I Doing? Sections 1.1--1.5

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

CH. 2 -- EQUATIONS, INEQUALITIES, AND APPLICATIONS

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

How Am I Doing? Sections 2.1--2.4

2.5 Translating English Phrases into Algebraic Expressions

2.6 Using Equations to Solve Word Problems

2.7 Solving Word Problems Using Geometric Formulas

2.8 Solving Inequalities in One Variable

Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Cumulative Test for Chapters 0--2

CH. 3 - GRAPHING AND FUNCTIONS

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 The Slope of a Line

How Am I Doing? Sections 3.1--3.3

3.4 Writing the Equation of a Line

3.5 Graphing Linear Inequalities

3.6 Functions

Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Cumulative Test for Chapters 0--3

CH. 4 - SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

How Am I Doing? Sections 4.1--4.2

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Cumulative Test for Chapters 0--4

CH. 5 - EXPONENTS AND POLYNOMIALS

5.1 The Rules of Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Fundamental Polynomial Operations

How Am I Doing? Sections 5.1--5.3

5.4 Multiplying Polynomials

5.5 Multiplication: Special Cases

5.6 Dividing Polynomials

Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Cumulative Test for Chapters 0--5

CH. 6 - FACTORING

6.1 Removing a Common Factor

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the Form x2 + bx + c

6.4 Factoring Trinomials of the Form ax2 + bx + c

How Am I Doing? Sections 6.1--6.4

6.5 Special Cases of Factoring

6.6 A Brief Review of Factoring

6.7 Solving Quadratic Equations by Factoring

Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Cumulative Test for Chapters 0--6

CH. 7 - RATIONAL EXPRESSIONS AND EQUATIONS

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 7.1--7.3

7.4 Simplifying Complex Rational Expressions

7.5 Solving Equations Involving Rational Expressions

7.6 Ratio, Proportion, and Other Applied Problems

Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Cumulative Test for Chapters 0--7

CH. 8 - RATIONAL EXPONENTS AND RADICALS

8.1 Rational Exponents

8.2 Radical Expressions and Functions

8.3 Simplifying, Adding, and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 8.1--8.4

8.5 Radical Equations

8.6 Complex Numbers

8.7 Variation

Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Cumulative Test for Chapters 0--8

CH. 9 - QUADRATIC EQUATIONS AND INEQUALITIES

9.1 Quadratic Equations

9.2 The Quadratic Formula and Solutions to Quadratic Equations

9.3 Equations that can be Transformed into Quadratic Form

How Am I Doing? Sections 9.1--9.3

9.4 Formulas and Applications

9.5 Quadratic Functions

9.6 Compound Inequalities and Quadratic Inequalities

9.7 Absolute Value Equations and Inequalities

Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Cumulative Test for Chapters 0--9

CH. 10 - THE CONIC SECTIONS

10.1 The Distance Formula and the Circle

10.2 The Parabola

10.3 The Ellipse

How Am I Doing? Sections 10.1--10.3

10.4 The Hyperbola

10.5 Nonlinear Systems of Equations

Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Cumulative Test for Chapters 0--10

CH. 11 - ADDITIONAL PROPERTIES OF FUNCTIONS

11.1 Function Notation

11.2 General Graphing Procedures for Functions

How Am I Doing? Sections 11.1--11.2

11.3 Algebraic Operations on Functions

11.4 Inverse of a Function

Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Cumulative Test for Chapters 0--11

Ch. 12 - LOGARITHMIC AND EXPONENTIAL FUNCTIONS

12.1 The Exponential Function

12.2 The Logarithmic Function

12.3 Properties of Logarithms

How Am I Doing? Sections 12.1--12.3

12.4 Common Logarithms, Natural Logarithms, and Change of Base

12.5 Exponential and Logarithmic Equations

Chapter 12 Organizer

Chapter 12 Review Problems

How Am I Doing? Chapter 12 Test

Cumulative Test for Chapters 0--12

Practice Final Examination

Glossary

Appendix A: Foundations for Intermediate Algebra

A.1 Exponents and the Order of Operations

A.2 Polynomial Operations

A.3 Factoring

Appendix B: Mathematics Blueprint for Problem Solving

Appendix C: Practice with Operations of Whole Numbers

Appendix D: Tables

Appendix E: Determinants and Cramer's Rule

Appendix F: Solving Systems of Linear Equations Using Matrices

Appendix G: Sets

Solutions to Practice Problems

Answers to Selected Exercises

Applications Index

Index

Photo Credits

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

Published: 2006

International: No

John Tobey and Jeff Slater are experienced developmental math authors and active classroom teachers. The Tobey approach focuses on building skills one at a time by breaking math down into manageable pieces. This building block organization is a practical approach to basic math skill development that makes it easier for students to understand each topic, gaining confidence as they move through each section. Knowing students crave feedback, Tobey has enhanced the new edition with a "How am I Doing?" guide to math success. The combination of continual reinforcement of basic skill development, ongoing feedback and a fine balance of exercises makes the second edition of Tobey/Slater Beginning and Intermediate Algebra even more practical and accessible.

To the Student

Preface

Acknowledgments

Diagnostic Pretest

CH. 0 - PREALGEBRA REVIEW

0.1 Simplifying Fractions

0.2 Adding and Subtracting Fractions

0.3 Multiplying and Dividing Fractions

How Am I Doing? Sections 0.1--0.3

0.4 Using Decimals

0.5 Percents, Rounding, and Estimating

Chapter 0 Organizer

Chapter 0 Review Problems

How Am I Doing? Chapter 0 Test

CH. 1 - REAL NUMBERS AND VARIABLES

1.1 Adding Real Numbers

1.2 Subtracting Real Numbers

1.3 Multiplying and Dividing Real Numbers

1.4 Exponents

1.5 The Order of Operations

How Am I Doing? Sections 1.1--1.5

1.6 Using the Distributive Property to Simplify Algebraic Expressions

1.7 Combining Like Terms

1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas

1.9 Grouping Symbols

Chapter 1 Organizer

Chapter 1 Review Problems

How Am I Doing? Chapter 1 Test

CH. 2 -- EQUATIONS, INEQUALITIES, AND APPLICATIONS

2.1 The Addition Principle of Equality

2.2 The Multiplication Principle of Equality

2.3 Using the Addition and Multiplication Principles Together

2.4 Solving Equations with Fractions

How Am I Doing? Sections 2.1--2.4

2.5 Translating English Phrases into Algebraic Expressions

2.6 Using Equations to Solve Word Problems

2.7 Solving Word Problems Using Geometric Formulas

2.8 Solving Inequalities in One Variable

Chapter 2 Organizer

Chapter 2 Review Problems

How Am I Doing? Chapter 2 Test

Cumulative Test for Chapters 0--2

CH. 3 - GRAPHING AND FUNCTIONS

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 The Slope of a Line

How Am I Doing? Sections 3.1--3.3

3.4 Writing the Equation of a Line

3.5 Graphing Linear Inequalities

3.6 Functions

Chapter 3 Organizer

Chapter 3 Review Problems

How Am I Doing? Chapter 3 Test

Cumulative Test for Chapters 0--3

CH. 4 - SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

4.1 Systems of Linear Equations in Two Variables

4.2 Systems of Linear Equations in Three Variables

How Am I Doing? Sections 4.1--4.2

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

Chapter 4 Organizer

Chapter 4 Review Problems

How Am I Doing? Chapter 4 Test

Cumulative Test for Chapters 0--4

CH. 5 - EXPONENTS AND POLYNOMIALS

5.1 The Rules of Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Fundamental Polynomial Operations

How Am I Doing? Sections 5.1--5.3

5.4 Multiplying Polynomials

5.5 Multiplication: Special Cases

5.6 Dividing Polynomials

Chapter 5 Organizer

Chapter 5 Review Problems

How Am I Doing? Chapter 5 Test

Cumulative Test for Chapters 0--5

CH. 6 - FACTORING

6.1 Removing a Common Factor

6.2 Factoring by Grouping

6.3 Factoring Trinomials of the Form x2 + bx + c

6.4 Factoring Trinomials of the Form ax2 + bx + c

How Am I Doing? Sections 6.1--6.4

6.5 Special Cases of Factoring

6.6 A Brief Review of Factoring

6.7 Solving Quadratic Equations by Factoring

Chapter 6 Organizer

Chapter 6 Review Problems

How Am I Doing? Chapter 6 Test

Cumulative Test for Chapters 0--6

CH. 7 - RATIONAL EXPRESSIONS AND EQUATIONS

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

How Am I Doing? Sections 7.1--7.3

7.4 Simplifying Complex Rational Expressions

7.5 Solving Equations Involving Rational Expressions

7.6 Ratio, Proportion, and Other Applied Problems

Chapter 7 Organizer

Chapter 7 Review Problems

How Am I Doing? Chapter 7 Test

Cumulative Test for Chapters 0--7

CH. 8 - RATIONAL EXPONENTS AND RADICALS

8.1 Rational Exponents

8.2 Radical Expressions and Functions

8.3 Simplifying, Adding, and Subtracting Radicals

8.4 Multiplying and Dividing Radicals

How Am I Doing? Sections 8.1--8.4

8.5 Radical Equations

8.6 Complex Numbers

8.7 Variation

Chapter 8 Organizer

Chapter 8 Review Problems

How Am I Doing? Chapter 8 Test

Cumulative Test for Chapters 0--8

CH. 9 - QUADRATIC EQUATIONS AND INEQUALITIES

9.1 Quadratic Equations

9.2 The Quadratic Formula and Solutions to Quadratic Equations

9.3 Equations that can be Transformed into Quadratic Form

How Am I Doing? Sections 9.1--9.3

9.4 Formulas and Applications

9.5 Quadratic Functions

9.6 Compound Inequalities and Quadratic Inequalities

9.7 Absolute Value Equations and Inequalities

Chapter 9 Organizer

Chapter 9 Review Problems

How Am I Doing? Chapter 9 Test

Cumulative Test for Chapters 0--9

CH. 10 - THE CONIC SECTIONS

10.1 The Distance Formula and the Circle

10.2 The Parabola

10.3 The Ellipse

How Am I Doing? Sections 10.1--10.3

10.4 The Hyperbola

10.5 Nonlinear Systems of Equations

Chapter 10 Organizer

Chapter 10 Review Problems

How Am I Doing? Chapter 10 Test

Cumulative Test for Chapters 0--10

CH. 11 - ADDITIONAL PROPERTIES OF FUNCTIONS

11.1 Function Notation

11.2 General Graphing Procedures for Functions

How Am I Doing? Sections 11.1--11.2

11.3 Algebraic Operations on Functions

11.4 Inverse of a Function

Chapter 11 Organizer

Chapter 11 Review Problems

How Am I Doing? Chapter 11 Test

Cumulative Test for Chapters 0--11

Ch. 12 - LOGARITHMIC AND EXPONENTIAL FUNCTIONS

12.1 The Exponential Function

12.2 The Logarithmic Function

12.3 Properties of Logarithms

How Am I Doing? Sections 12.1--12.3

12.4 Common Logarithms, Natural Logarithms, and Change of Base

12.5 Exponential and Logarithmic Equations

Chapter 12 Organizer

Chapter 12 Review Problems

How Am I Doing? Chapter 12 Test

Cumulative Test for Chapters 0--12

Practice Final Examination

Glossary

Appendix A: Foundations for Intermediate Algebra

A.1 Exponents and the Order of Operations

A.2 Polynomial Operations

A.3 Factoring

Appendix B: Mathematics Blueprint for Problem Solving

Appendix C: Practice with Operations of Whole Numbers

Appendix D: Tables

Appendix E: Determinants and Cramer's Rule

Appendix F: Solving Systems of Linear Equations Using Matrices

Appendix G: Sets

Solutions to Practice Problems

Answers to Selected Exercises

Applications Index

Index

Photo Credits