Intermediate Algebra,
5th Edition

1. A REVIEW OF BASIC ALGEBRA.
The Language of Algebra. The Real Numbers. Operations with Real Numbers. Simplifying Algebraic Expressions Using Properties of Real Numbers. Solving Linear Equations Using Properties of Equality. Solving Formulas; Geometry. Using Equations to Solve Problems. More about Problem Solving. Chapter Summary and Review. Chapter Test. Group Project.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Graphs. Graphing Linear Equations in Two Variables. Rate of Change and the Slope of a Line. Writing Equations of Lines. An Introduction to Functions. Graphs of Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
3. SYSTEMS OF EQUATIONS.
Solving Systems of Equations by Graphing. Solving Systems of Equations Algebraically. Solving Systems of Equation in Three Variables. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Problem Solving Using Systems of Two Equations. Problem Solving Using Systems of Three Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
4. INEQUALITIES.
Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS.
Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. The Difference of Two Squares; the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
6. RATIONAL EXPRESSIONS AND EQUATIONS.
Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Rational Equations. Problem Solving Using Rational Equations. Proportion and Variation. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review
7. RADICAL EXPRESSIONS AND EQUATIONS.
Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Base-e Exponential and Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
10. CONIC SECTIONS; MORE GRAPHING.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project.
11. MISCELLANEOUS TOPICS.
The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Appendix 1: Roots and Powers.
Appendix 2: Answers to Selected Problems.

• Alan S. Tussy

  Alan Tussy has taught all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books. An extraordinary author dedicated to his students' success, he is relentlessly meticulous and creative—a visionary who maintains a keen focus on the greatest challenges students face in Mathematics. Alan received his Bachelor of Science degree in Mathematics from University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught across course and curriculum areas from prealgebra to differential equations. He is currently focusing on teaching courses related to Developmental Mathematics. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges (AMATYC).

• R. David Gustafson

  R. David Gustafson is professor emeritus of mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA; INTERMEDIATE ALGEBRA; BEGINNING AND INTERMEDIATE ALGEBRA; BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH; and the Tussy/Gustafson and Tussy/Gustafson/Koenig Developmental Mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in the American Mathematical Association of Two-Year Colleges (AMATYC) as a Midwest vice president. He has also served as president of IMACC, AMATYC's Illinois affiliate. Professor Gustafson earned a master of arts from Rockford College in Illinois as well as a master of science from Northern Illinois University.

• DIGITAL CONTENT UPDATE 2020: Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Concept Checks, Learn Its, College Success Modules, an increased number of problems and more.

• New! "Are You Ready?" problems start each section to review crucial prerequisite skills that students need to have mastered in order to be successful with the new topics of that section. "Are You Ready?" questions also are available in Enhanced WebAssign providing you with the opportunity to assign short quizzes to test your students' knowledge before class.

• New! "Look Alikes" feature builds students' problem recognition skills. This feature requires students to distinguish between similar looking problem types and then select the correct strategy to solve the problem. Encountering such situations in the homework assignments will better prepare students for quizzes and tests. A broad selection of "Look Alikes" problems are available in Enhanced WebAssign for you to assign.

• Over 80% more "Try It Yourself" problems were added to the Fifth Edition based on instructors and reviewers requests for additional problem recognition practice. These problem types are thoroughly mixed, giving students an opportunity to practice decision making and strategy selection as they would when taking a test or quiz. Easily assign a variety of "Try It Yourself" problems through Enhanced WebAssign to offer your students strategy selection practice.

• Six-Step Problem Solving Strategy. To better delineate the thought process students use as they solve application problems, the new edition includes a new second step (Assign a variable to represent an unknown value in the problem) in what was formerly a five-step process. The six steps of the problem solving strategy are: Analyze the problem, Assign a variable, Form an equation, Solve the equation, State the conclusion, and Check the result.

• New to this edition, from the comprehensive Study Sets in each section all the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.

• Each chapter in the Fifth Edition has three Campus to Careers problems that explore the mathematical connections to careers that are presented at the beginning of each chapter.

• Worked examples with Strategy and Why explanation help students gain a deeper understanding of the algebraic concepts because they understand why a particular approach was taken. Detailed author notes throughout the worked example guide students along a step-by-step process. At the end of each worked example, a "Self Check" problem offers immediate practice and feedback on the students' understanding and "Now Try" links to similar problems in the Guided Practice section of the Study Sets.

• 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. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, Review, and Challenge Problems. All the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.

• Reading the Language of Algebra. Students often have difficulty reading the mathematical notation of algebra. To provide students assistance, notes, such as "Read as ..." statements, appear throughout the text to explain how to read newly introduced notation.

• 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.

• Cumulative Reviews follow the end-of-chapter material and test students' skills before moving on to the next chapter. Each problem is linked to the associated section for easy reference.

• Using Your Calculator is an optional feature designed for instructors who wish to use calculators as part of the instruction in this course. This feature introduces keystrokes and shows how scientific and graphing calculators can be used to solve problems.

• Valuable Teaching Tools. 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.

• Valuable Teaching Tools. 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.

• Examples that show you How...and WHY As you watch your instructor solve a problem in class, you may ask yourself...Why? The Strategy and Why section in the worked examples of ELEMENTARY ALGEBRA, 5E give you an explanation of why a particular approach was taken so that you can apply that understanding to other problems. Use the "Self Check" and "Now Try" problems to test your skills.

• Use the Study Sets found in each section to build your knowledge of the section concepts through reading, writing, and thinking mathematically. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, Review, and Challenge Problems.

• Reading the Language of Algebra. To many students, algebra is like a foreign language. It can be difficult to read and translate the notation. This texts provides you with assistance to explain how to read the "language of algebra." Look for the "Read as..." statements when new notation is introduced.

• Cumulative Reviews follow the end-of-chapter material and test your skills before moving on to the next chapter. Each problem is linked to the associated section for easy reference.

• 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.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

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