Intermediate Algebra

With You Every Step of the Way

The Tobey/Slater/Blair/Crawford series retains the hallmark characteristics that have always made the text so easy to learn and teach from, including a “building block” organization. Each program builds essential skills and conceptual understanding by breaking the mathematics down into manageable pieces.

The new editions address the latest trends and dynamics related to developmental mathematics course structures, including helping students gain a stronger conceptual understanding, while contextualizing the math. Instructors will find the inclusion of new conceptually oriented Guided Learning Videos with the accompanying Video Workbook with the Math Coach (in MyMathLab), plus a new emphasis on Career Explorations throughout the text and MyMathLab course to help students explore potential career paths. The Tobey series is flexible, and well-suited for a variety of classroom formats, including lecture-based, computer-lab based (modular and/or self-paced), hybrid, and online.

Also available with MyMathLab

MyMathLab^® is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. For this edition, the MyMathLab course includes new Guided Learning Videos and an updated and expanded Video Workbook with the Math Coach.

Note: You are purchasing a standalone product; MyLab^™ & Mastering^™ does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

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John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois, in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts, for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.

Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Lexington, Massachusetts, with his wife Shelley and his yellow lab Gracie.

Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the center, and as a result of this effort, has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007, Jamie was appointed to the Team of Basic Skills Specialists by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.

1. Basic Concepts

11 The Real Number System

1.2 Operations with Real Numbers

1.3 Powers, Square Roots, and the Order of Operations

1.4 Integer Exponents and Scientific Notation

1.5 Operations with Variables and Grouping Symbols

1.6 Evaluating Variable Expressions and Formulas

            Career Explorations

            1 Organizer

            1 Review Problems

            1 Test

            Math Coach

2. Linear Equations and Inequalities

2.1 First-Degree Equations with One Unknown

2.2 Literal Equations and Formulas

2.3 Absolute Value Equations

2.4 Using Equations to Solve Word Problems

2.5 Solving More Involved Word Problems

2.6 Linear Inequalities

2.7 Absolute Value Inequalities

2.8 Absolute Value Inequalities

            Career Explorations

            2 Organizer

            2 Review Problems

            2 Test

            Math Coach

3. Equations and Inequalities in Two Variables and Functions

3.1 Graphing Linear Equations with Two Unknowns

3.2 Slope of a Line

3.3 Graphs and the Equation of a Line

3.4 Linear Inequalities in Two Variables

3.5 Concept of a Function

3.6 Graphing Functions from Equations and Tables of Data

            Career Explorations

            3 Organizer

            3 Review Problems

            3 Test

            Math Coach

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

4.3 Applications of Systems of Linear Equations

4.4 Systems of Linear Inequalities

            Career Explorations

            4 Organizer

            4 Review Problems

            4 Test

            Math Coach

5. Polynomials

5.1 Introduction to Polynomials and Polynomial Functions; Adding, Subtracting, and Multiplying

5.2 Dividing Polynomials

5.3 Synthetic Division

5.4 Removing Common Factors; Factoring by Grouping

5.5 Factoring Trinomials

5.6 Special Cases of Factoring

5.7 Factoring a Polynomial Completely

5.8 Solving Equations and Applications Using Polynomials

            Career Explorations

            5 Organizer

            5 Review Problems

            5 Test

            Math Coach

6. Rational Expressions and Equations

6.1 Rational Expressions and Functions: Simplifying, Multiplying, and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Rational Expressions

6.4 Rational Equations

6.5 Applications: Formulas and Advanced Ratio Expressions

            Career Explorations

            6 Organizer

            6 Review Problems

            6 Test

            Math Coach

7. Rational Exponents and Radicals

7.1 Rational Exponents

7.2 Radical Expressions and Functions

7.3 Simplifying, Adding, and Subtracting Radicals

7.4 Multiplying and Dividing Radicals

7.5 Radical Equations

7.6 Complex Numbers

7.7 Variation

            Career Explorations

            7 Organizer

            7 Review Problems

            7 Test

            Math Coach

8. Quadratic Equations and Inequalities

8.1 Quadratic Equations

8.2 The Quadratic Formula and Solutions to Quadratic Equations

8.3 Equations That Can be Transformed into Quadratic Form

8.4 Formulas and Applications

8.5 Quadratic Functions

8.6 Quadratic Inequalities in One Variable

            Career Explorations

            8 Organizer

            8 Review Problems

            8 Test

            Math Coach

9. The Conic Sections

9.1 The Distance Formula and the Circle

9.2 The Parabola

9.3 The Ellipse

9.4 The Hyperbola

9.5 Nonlinear Systems of Equations

            Career Explorations

            9 Organizer

            9 Review Problems

            9 Test

            Math Coach

10. Additional Properties of Functions

10.1 Function Notation

10.2 General Graphing Procedures for Functions

10.3 Algebraic Operations on Functions

10.4 Inverse of a Function

            Career Explorations

            10 Organizer

            10 Review Problems

            10 Test

            Math Coach

11. Logarithmic and Exponential Functions

11.1 The Exponential Function

11.2 The Logarithmic Function

11.3 Properties of Logarithms

11.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms

11.5 Exponential and Logarithmic Equations

            Career Explorations

            10 Organizer

            10 Review Problems

            Test

            Math Coach

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