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Elementary and Intermediate Algebra

By Alan S. Tussy, R. David Gustafson

6th Edition © 2025
Discipline:Mathematics
Course:Developmental Mathematics
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Tussy/Gustafson's ELEMENTARY AND INTERMEDIATE ALGEBRA, 6th Edition, eases teaching challenges while meeting the educational needs of a new generation. The uniquely modern, balanced approach, integrates conceptual understanding with traditional skill and practice that is reinforced through an interactive digital experience in WebAssign. Students gain a deeper understanding if they know why a particular problem-solving approach was taken. Each worked example in the text includes a Strategy and Why explanation, providing students with a concise “why” to equip them to succeed at the “how.” Algebra is not just about the x -- it's also about the WHY. When the algebraic topics studied are put to use, it leads to increased credibility. A large number of real-life applications are included that will help you answer that often-posed question from your students, “when will I ever use this?”

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About this product

Tussy/Gustafson's ELEMENTARY AND INTERMEDIATE ALGEBRA, 6th Edition, eases teaching challenges while meeting the educational needs of a new generation. The uniquely modern, balanced approach, integrates conceptual understanding with traditional skill and practice that is reinforced through an interactive digital experience in WebAssign. Students gain a deeper understanding if they know why a particular problem-solving approach was taken. Each worked example in the text includes a Strategy and Why explanation, providing students with a concise “why” to equip them to succeed at the “how.” Algebra is not just about the x -- it's also about the WHY. When the algebraic topics studied are put to use, it leads to increased credibility. A large number of real-life applications are included that will help you answer that often-posed question from your students, “when will I ever use this?”

WEBASSIGN ONLINE COURSE SOLUTION provides support for you and your students. Fully integrated with this printed edition of the text, WebAssign offers both a powerful online homework and a course management system that engages students in learning math. Pre-built assignments (Course Packs), just-in-time remediation (Learn Its) and unique question types (Responsive Questions and Concept Checks) vetted by trusted subject matter experts help you foster a deeper understanding of course concepts.

THE LANGUAGE OF ALGEBRA BOXES draw connections between mathematical terms and everyday references to reinforce the language of algebra thread that runs throughout the text.

TEACHING TIPS have been placed at strategic places in the margins to offer instructional suggestions that can be employed during classroom presentations. In addition, each worked example has an accompanying "Teaching Example" that instructors can use as part of a classroom lecture.

STUDY SETS found in each section are designed for students to methodically build their knowledge of the section concepts, from basic recall to increasingly complex problem solving, through reading, writing and thinking mathematically. A typical "Study Set" includes the following problem types: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Step-By-Step, Find It, Writing and Challenge Problems.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
Dedication
About the Authors
Preface
Acknowledgments
Chapter 1. An Introduction to Algebra*Preview this chapter
Chapter 2. Equations, Inequalities, and Problem Solving
Chapter 3. Graphing Linear Equations and Inequalities in Two Variables; Functions
Chapter 4. Systems of Linear Equations and Inequalities
Chapter 5. Exponents and Polynomials
Chapter 6. Factoring and Quadratic Equations
Chapter 7. Rational Expressions and Equations
Chapter 8. Transition to Intermediate Algebra
Chapter 9. Radical Expressions and Equations
Chapter 10. Quadratic Equations, Functions, and Inequalities
Chapter 11. Exponential and Logarithmic Functions
Chapter 12. More on Systems of Equations
Chapter 13. Conic Sections; More Graphing
Chapter 14. Miscellaneous Topics
Appendix 1. Synthetic Division
Show more

Chapter 1. An Introduction to AlgebraPreview this chapter ↗

Section 1.1. Introducing the Language of Algebra
Preview this section ↗
1. Read Tables and Graphs ↗
2. Use the Basic Vocabulary and Notation of Algebra ↗
3. Identify Expressions and Equations ↗
4. Use Equations to Construct Tables of Data ↗
Section 1.1. Study Set ↗
Section 1.2. Fractions
Preview this section ↗
1. Factor and Prime Factor Natural Numbers ↗
2. Recognize Special Fraction Forms ↗
3. Multiply and Divide Fractions ↗
4. Build Equivalent Fractions ↗
5. Simplify Fractions ↗
6. Add and Subtract Fractions ↗
7. Simplify Answers ↗
8. Compute with Mixed Numbers ↗
Section 1.2. Study Set ↗
Section 1.3. The Real Numbers
Preview this section ↗
1. Define the Set of Integers ↗
2. Define the Set of Rational Numbers ↗
3. Define the Set of Irrational Numbers ↗
4. Classify Real Numbers ↗
5. Graph Sets of Real Numbers on the Number Line ↗
6. Find the Absolute Value of a Real Number ↗
Section 1.3. Study Set ↗
Section 1.4. Adding Real Numbers; Properties of Addition
Preview this section ↗
1. Add Two Numbers That Have the Same Sign ↗
2. Add Two Numbers That Have Different Signs ↗
3. Use Properties of Addition ↗
4. Identify Opposites (Additive Inverses) ↗
Section 1.4. Study Set ↗
Section 1.5. Subtracting Real Numbers
Preview this section ↗
1. Use the Definition of Subtraction ↗
2. Solve Application Problems Using Subtraction ↗
Section 1.5. Study Set ↗
Section 1.6. Multiplying and Dividing Real Numbers; Multiplication and Division Properties
Preview this section ↗
1. Multiply Signed Numbers ↗
2. Use Properties of Multiplication ↗
3. Divide Signed Numbers ↗
4. Use Properties of Division ↗
Section 1.6. Study Set ↗
Section 1.7. Exponents and Order of Operations
Preview this section ↗
1. Evaluate Exponential Expressions ↗
2. Use the Order of Operations Rule ↗
3. Evaluate Expressions Containing Grouping Symbols ↗
4. Find the Mean (Average) ↗
Section 1.7. Study Set ↗
Section 1.8. Algebraic Expressions
Preview this section ↗
1. Identify Terms and Coefficients of Terms ↗
2. Translate Word Phrases to Algebraic Expressions ↗
3. Analyze Problems to Determine Hidden Operations ↗
4. Evaluate Algebraic Expressions ↗
Section 1.8. Study Set ↗
Section 1.9. Simplifying Algebraic Expressions Using Properties of Real Numbers
Preview this section ↗
1. Use the Commutative and Associative Properties ↗
2. Simplify Products ↗
3. Use the Distributive Property ↗
4. Identify Like Terms ↗
5. Combine Like Terms ↗
Section 1.9. Study Set ↗
Section 1.1. Introducing the Language of Algebra ↗
Section 1.2. Fractions ↗
Section 1.3. The Real Numbers ↗
Section 1.4. Adding Real Numbers; Properties of Addition ↗
Section 1.5. Subtracting Real Numbers ↗
Section 1.6. Multiplying and Dividing Real Numbers; Multiplication and Division Properties ↗
Section 1.7. Exponents and Order of Operations ↗
Section 1.8. Algebraic Expressions ↗
Section 1.9. Simplifying Algebraic Expressions Using Properties of Real Numbers ↗
1. Chapter Test ↗
Show more

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