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by Margaret Lial, John Hornsby and Terry McGinnis

ISBN13: 978-0321127136

ISBN10: 0321127137

Edition: 9TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

ISBN10: 0321127137

Edition: 9TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

The Lial series has helped thousands of students succeed in developmental mathematics through its friendly writing style, numerous realistic examples, extensive problem sets, and complete supplements package. In keeping with its proven track record, this revision includes a new open design, more exercises and applications, and additional features to help both students and instructors succeed.

**Features **

- Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
- Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and to offer guidance on presenting the material at hand.
- Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
- Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
- Problem Solving The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.
- Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
- Technology Insights Exercises Technology Insights exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
- Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains thousands of exercises, including review exercises, numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
- Writing Exercises Writing exercises abound in the Lial series through the Connections boxes and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
- Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
- Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
- Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format. Quick Review sections give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept. Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problem if they need help. Mixed Review Exercises require students to solve problems without the help of section references. Chapter Tests help students practice for the real thing, and Cumulative Review Exercises gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course.

**New To This Edition **

- Former Chapter 5 Exponents and Polynomials has now been broken into two chapters: Chapter 5 Exponents, Polynomials, and Polynomial Functions and Chapter 6 Factoring.
- Division of Polynomials (formerly section 6.4, following Complex Fractions) has been moved up to Section 5.5 to follow Multiplying Polynomials.
- The Conics chapter (formerly Chapter 10, now Chapter 11) now includes a new section Additional Graphs of Functions; Composition.
- Determinants and Cramer's Rule (formerly Section 4.5) and Synthetic Division (formerly Section 6.5) have been moved to Appendixes B and C respectively.
- Adjunct Support Center The Adjunct Support Center offers consultation on suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years of combined teaching experience.
- Now Try It Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
- Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include solving linear and absolute value equations and inequalities, operations equations with rational expressions, and exercises on solving quadratic equations.
- Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
- New Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
- New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.

Author Bio

**Lial, Marge : **Marge Lial Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

**Hornsby, John : **John Hornsby

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

**McGinnis, Terry : **Terry McGinnis - A native Midwesterner, Terry received her Bachelor's of Science in Elementary Education (Mathematics concentration) from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 15 years, working with a variety of authors on textbooks in developmental and precalculus mathematics. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for the past ten years, Terry most recently joined Margaret Lial and John Hornsby as co-author of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra, all published by Addison-Wesley. When not working, Terry enjoys spinning at a local health club and

List of Applications.

Preface.

Feature Walkthrough.

**1. Review of the Real Number System. **

Basic Concepts.

Operations on Real Numbers.

Exponents, Roots, and Order of Operations.

Properties of Real Numbers.

**2. Linear Equations, Inequalities, and Applications. **

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations.

Further Applications of Linear Equations.

Summary Exercises on Solving Applied Problems.

Linear Inequalities in One Variable.

Set Operations and Compound Inequalities.

Absolute Value Equations and Inequalities.

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.

**3. Graphs, Linear Equations, and Functions. **

The Rectangular Coordinate System.

The Slope of a Line.

Linear Equations in Two Variables.

Linear Inequalities in Two Variables.

Introduction to Functions.

Variation.

**4. Systems of Linear Equations. **

Systems of Linear Equations in Two Variables.

Systems of Linear Equations in Three Variables.

Applications of Systems of Linear Equations.

Solving Systems of Linear Equations by Matrix Methods.

**5. Exponents, Polynomials, and Polynomial Functions. **

Integer Exponents and Scientific Notation.

Adding and Subtracting Polynomials.

Polynomial Functions.

Multiplying Polynomials.

Dividing Polynomials.

**6. Factoring. **

Greatest Common Factors; Factoring by Grouping.

Factoring Trinomials.

Special Factoring.

A General Approach to Factoring.

Solving Equations by Factoring.

**7. Rational Expressions and Functions. **

Rational Expressions and Functions; Multiplying and Dividing.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Equations with Rational Expressions and Graphs.

Summary Exercises on Operations and Equations with Rational Expressions.

Applications of Rational Expressions.

**8. Roots, Radicals, and Root Functions. **

Radical Expressions and Graphs.

Rational Exponents.

Simplifying Radical Expressions.

Adding and Subtracting Radical Expressions.

Multiplying and Dividing Radical Expressions.

Summary Exercises on Operations with Radicals.

Solving Equations with Radicals.

Complex Numbers.

**9. Quadratic Equations, Inequalities, and Functions. **

The Square Root Property and Completing the Square.

The Quadratic Formula.

Equations Quadratic in Form.

Summary Exercises on Solving Quadratic Equations.

Formulas and Further Applications.

Graphs of Quadratic Functions.

More about Parabolas; Applications.

Quadratic and Rational Inequalities.

**10. Inverse, Exponential, and Logarithmic Functions. **

Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations; Further Applications.

**11. Nonlinear Functions, Conic Sections, and Nonlinear Systems. **

Additional Graphs of Functions; Composition.

The Circle and the Ellipse.

The Hyperbola and Functions Defined by Radicals.

Nonlinear Systems of Equations.

Second-Degree Inequalities and Systems of Inequalities.

**12. Sequences and Series. **

Sequences and Series.

Arithmetic Sequences.

Geometric Sequences.

The Binomial Theorem.

Appendix A: An Introduction to Calculators.

Appendix B: Determinants and Cramer's Rule.

Appendix C: Synthetic Division.

Answers to Selected Exercises.

Glossary.

Index.

Videotape and CD Index.

**Other Editions for Intermediate Algebra**

Margaret Lial, John Hornsby and Terry McGinnis

ISBN13: 978-0321127136ISBN10: 0321127137

Edition: 9TH 04

Copyright: 2004

Publisher: Addison-Wesley Longman, Inc.

Published: 2004

International: No

The Lial series has helped thousands of students succeed in developmental mathematics through its friendly writing style, numerous realistic examples, extensive problem sets, and complete supplements package. In keeping with its proven track record, this revision includes a new open design, more exercises and applications, and additional features to help both students and instructors succeed.

**Features **

- Learning Objectives Each section opens with an application and clearly stated, numbered, learning objectives. These learning objectives are reinforced throughout the section by re-listing the objective where appropriate so that students always know exactly what is being covered.
- Classroom Examples and Teaching Tips The Annotated Instructor's Edition provides answers to all text exercises and Group Activities in color in the margin or next to the corresponding exercises. In addition, Classroom Examples and Teaching Tips are also included to assist instructors in coming up with examples to use in class that are different from what students have in their textbooks, and to offer guidance on presenting the material at hand.
- Notes Important ideas are emphasized in Notes boxes that appear throughout the text. Calling them out stresses their importance to students.
- Connections Connections boxes provide connections to the real world or to other mathematical concepts, historical background, and thought-provoking questions for writing or class discussion.
- Problem Solving The Lial six-step problem-solving method is clearly explained in Chapter 2 and is then continually reinforced in examples and exercises throughout the text to aid students in solving application problems.
- Cautions Students are warned of common errors through the use of Cautions that are found throughout the text where appropriate.
- Technology Insights Exercises Technology Insights exercises are found in selected exercise sets throughout the text. These exercises illustrate the power of graphing calculators and provide an opportunity for students to interpret typical results seen on graphing calculator screens (graphing calculator NOT required to complete these exercises).
- Ample and Varied Exercise Sets Algebra students require a large number and variety of practice exercises to master the material they have just learned. This text contains thousands of exercises, including review exercises, numerous conceptual and writing exercises, journal exercises, and challenging exercises that go beyond the examples. Multiple-choice, matching, true/false, and completion exercises help to provide variety. Exercises suitable for calculator use are marked with a calculator icon.
- Writing Exercises Writing exercises abound in the Lial series through the Connections boxes and also in the exercise sets. Some writing exercises require only short written answers, and others require lengthier journal type exercises that ask students to fully explain terminology, procedures, and methods, document their understanding using examples, or make connections between topics.
- Relating Concepts Found at the end of selected exercise sets, these exercises tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how a graph of a linear equation in two variables is related to the solution of the corresponding linear equation in one variable. These sets of exercises make great collaborative activities for small groups of students.
- Group Activities Appearing at the end of each chapter, these activities allow students to work collaboratively to solve a problem related to the chapter material.
- Ample Opportunity for Review One of the most admired features of Lial textbooks is the extensive and well-thought-out end-of-chapter material. At the end of each chapter, students will find Key Terms and Symbols that are keyed back to the appropriate section for easy reference and study, and Test Your Word Power to help students understand and master mathematical vocabulary. Key terms from the chapter are presented with four possible definitions in multiple-choice format. Quick Review sections give students not only the main concepts from the chapter (referenced back to the appropriate section), but also an adjacent example of each concept. Review Exercises are keyed to the appropriate sections so that students can refer to examples of that type of problem if they need help. Mixed Review Exercises require students to solve problems without the help of section references. Chapter Tests help students practice for the real thing, and Cumulative Review Exercises gather various types of exercises from preceding chapters to help students remember and retain what they are learning throughout the course.

**New To This Edition **

- Former Chapter 5 Exponents and Polynomials has now been broken into two chapters: Chapter 5 Exponents, Polynomials, and Polynomial Functions and Chapter 6 Factoring.
- Division of Polynomials (formerly section 6.4, following Complex Fractions) has been moved up to Section 5.5 to follow Multiplying Polynomials.
- The Conics chapter (formerly Chapter 10, now Chapter 11) now includes a new section Additional Graphs of Functions; Composition.
- Determinants and Cramer's Rule (formerly Section 4.5) and Synthetic Division (formerly Section 6.5) have been moved to Appendixes B and C respectively.
- Adjunct Support Center The Adjunct Support Center offers consultation on suggested syllabi, helpful tips on using the textbook support package, assistance with textbook content, and advice on classroom strategies from qualified mathematics instructors with over 50 years of combined teaching experience.
- Now Try It Exercises To actively engage students in the learning process, each example now concludes with a reference to one or more parallel exercises from the corresponding exercise set so that students are able to immediately apply and reinforce the concepts and skills presented in the examples.
- Summary Exercises Based on user feedback, we have more than doubled the number of in-chapter summary exercises. These special exercise sets provide students with the all-important mixed review problems they need to master topics. Summaries of solution methods or additional examples are often included. Topics that appear in these Summary Exercises include solving linear and absolute value equations and inequalities, operations equations with rational expressions, and exercises on solving quadratic equations.
- Glossary By popular demand, a comprehensive glossary of key terms from throughout the text is included at the back of the book.
- New Real-Life Applications Many new or updated examples and exercises can be found throughout the text that focus on real-life applications of mathematics. These applied problems provide a modern flavor that will appeal to and motivate students.
- New Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.

Author Bio

**Lial, Marge : **Marge Lial Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

**Hornsby, John : **John Hornsby

John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

**McGinnis, Terry : **Terry McGinnis - A native Midwesterner, Terry received her Bachelor's of Science in Elementary Education (Mathematics concentration) from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 15 years, working with a variety of authors on textbooks in developmental and precalculus mathematics. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for the past ten years, Terry most recently joined Margaret Lial and John Hornsby as co-author of their developmental mathematics series that includes Introductory Algebra, Intermediate Algebra, and Introductory and Intermediate Algebra, all published by Addison-Wesley. When not working, Terry enjoys spinning at a local health club and

Table of Contents

List of Applications.

Preface.

Feature Walkthrough.

**1. Review of the Real Number System. **

Basic Concepts.

Operations on Real Numbers.

Exponents, Roots, and Order of Operations.

Properties of Real Numbers.

**2. Linear Equations, Inequalities, and Applications. **

Linear Equations in One Variable.

Formulas.

Applications of Linear Equations.

Further Applications of Linear Equations.

Summary Exercises on Solving Applied Problems.

Linear Inequalities in One Variable.

Set Operations and Compound Inequalities.

Absolute Value Equations and Inequalities.

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.

**3. Graphs, Linear Equations, and Functions. **

The Rectangular Coordinate System.

The Slope of a Line.

Linear Equations in Two Variables.

Linear Inequalities in Two Variables.

Introduction to Functions.

Variation.

**4. Systems of Linear Equations. **

Systems of Linear Equations in Two Variables.

Systems of Linear Equations in Three Variables.

Applications of Systems of Linear Equations.

Solving Systems of Linear Equations by Matrix Methods.

**5. Exponents, Polynomials, and Polynomial Functions. **

Integer Exponents and Scientific Notation.

Adding and Subtracting Polynomials.

Polynomial Functions.

Multiplying Polynomials.

Dividing Polynomials.

**6. Factoring. **

Greatest Common Factors; Factoring by Grouping.

Factoring Trinomials.

Special Factoring.

A General Approach to Factoring.

Solving Equations by Factoring.

**7. Rational Expressions and Functions. **

Rational Expressions and Functions; Multiplying and Dividing.

Adding and Subtracting Rational Expressions.

Complex Fractions.

Equations with Rational Expressions and Graphs.

Summary Exercises on Operations and Equations with Rational Expressions.

Applications of Rational Expressions.

**8. Roots, Radicals, and Root Functions. **

Radical Expressions and Graphs.

Rational Exponents.

Simplifying Radical Expressions.

Adding and Subtracting Radical Expressions.

Multiplying and Dividing Radical Expressions.

Summary Exercises on Operations with Radicals.

Solving Equations with Radicals.

Complex Numbers.

**9. Quadratic Equations, Inequalities, and Functions. **

The Square Root Property and Completing the Square.

The Quadratic Formula.

Equations Quadratic in Form.

Summary Exercises on Solving Quadratic Equations.

Formulas and Further Applications.

Graphs of Quadratic Functions.

More about Parabolas; Applications.

Quadratic and Rational Inequalities.

**10. Inverse, Exponential, and Logarithmic Functions. **

Inverse Functions.

Exponential Functions.

Logarithmic Functions.

Properties of Logarithms.

Common and Natural Logarithms.

Exponential and Logarithmic Equations; Further Applications.

**11. Nonlinear Functions, Conic Sections, and Nonlinear Systems. **

Additional Graphs of Functions; Composition.

The Circle and the Ellipse.

The Hyperbola and Functions Defined by Radicals.

Nonlinear Systems of Equations.

Second-Degree Inequalities and Systems of Inequalities.

**12. Sequences and Series. **

Sequences and Series.

Arithmetic Sequences.

Geometric Sequences.

The Binomial Theorem.

Appendix A: An Introduction to Calculators.

Appendix B: Determinants and Cramer's Rule.

Appendix C: Synthetic Division.

Answers to Selected Exercises.

Glossary.

Index.

Videotape and CD Index.

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**Other Editions for Intermediate Algebra**