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ISBN: 9780321929235 | 0321929233

Edition: 1stFormat: Package

Publisher: Pearson

Pub. Date: 7/21/2013

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The new Tobey/Slater/Blair/Crawford ** ***Developmental Mathematics: Prealgebra, Beginning Algebra, and Intermediate Algebra * offers everything needed to teach the full developmental math sequence in one flexible, modularized course solution. The topic-based modules build essential skills one at a time by breaking the mathematics down into manageable pieces, and guide students every step of the way for all course environments, including hybrid, self-paced, and online.

**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 Marblehead, 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 Specialist 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.

**Jennifer Crawford **received her BS in mathematics from the University of Minnesota – Duluth in 1995 and her MS in mathematics from the University of Minnesota – Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota where her focus is working with developmental math students. She lives in Minneapolis, Minnesota with her husband, two young children, and black lab.

**Module 1: Whole Numbers and Introduction to Algebra**

1.1: Understanding Whole Numbers

1.2: Adding Whole Number Expressions

1.3: Subtracting Whole Number Expressions

1.4: Multiplying Whole Number Expressions

1.5: Dividing Whole Number Expressions

1.6: Exponents and the Order of Operations

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How Am I Doing? Topics 1.1–1.6

1.7: More on Algebraic Expressions

1.8: Introduction to Solving Linear Equations

1.9: Solving Applied Problems Using Several Operations

Module 1 Organizer

Module 1 Review Problems

How Am I Doing? Module 1 Test

Math Coach

**Module 2: Integers**

2.1: Understanding Integers

2.2: Adding Integers

2.3: Subtracting Integers

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How Am I Doing? Topics 2.1–2.3

2.4: Multiplying and Dividing Integers

2.5: The Order of Operations and Applications Involving Integers

2.6: Simplifying and Evaluating Algebraic Expressions

Module 2 Organizer

Module 2 Review Problems

How Am I Doing? Module 2 Test

Math Coach

**Module 3: Introduction to Equations and Algebraic Expressions**

3.1: Equations of the form *x* + *a* = *c* and *x* - *a* = *c*

3.2: Equations of the form *ax* = *c*

How Am I Doing? Topics 3.1–3.2

3.3: Equations and Geometric Formulas

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3.4: Performing Operations with Exponents

Module 3 Organizer

Module 3 Review Problems

How Am I Doing? Module 3 Test

Math Coach

**Module 4: Fractions, Ratio, and Proportions**

4.1: Factoring Whole Numbers

4.2: Understanding Fractions

4.3: Simplifying Fractional Expressions

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How Am I Doing? Topics 4.1–4.3

4.4: Simplifying Fractional Expressions with Exponents

4.5: Ratios and Rates

4.6: Proportions and Applications

Module 4 Organizer

Module 4 Review Problems

How Am I Doing? Module 4 Test

Math Coach

**Module 5: Operations on Fractional Expressions**

5.1: Multiplying and Dividing Fractional Expressions

5.2: Least Common Multiples of Algebraic Expressions

5.3: Adding and Subtracting Fractional Expressions

5.4: Operations with Mixed Numbers

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How Am I Doing? Topics 5.1–5.4

5.5: Order of Operations and Complex Fractions

5.6: Solving Applied Problems Involving Fractions

5.7: The Multiplication Principle of Equality

Module 5 Organizer

Module 5 Review Problems

How Am I Doing? Module 5 Test

Math Coach

**Module 6: Decimals and Percents**

6.1: Understanding Decimal Fractions

6.2: Adding and Subtracting Decimal Expressions

6.3: Multiplying and Dividing Decimal Expressions

How Am I Doing? Topics 6.1–6.3

6.4: Estimating with Percents

6.5: Percents

6.6: Solving Percent Problems Using Equations

6.7: Solving Percent Problems Using Proportions

6.8: Solving Applied Problems Involving Percents

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Module 6 Organizer

Module 6 Review Problems

How Am I Doing? Module 6 Test

Math Coach

**Module 7: Measurement and Geometric Figures**

7.1: Using Unit Fractions with U.S. and Metric Units

7.2: Converting Between the U.S. and Metric Systems

7.3: Angles

How Am I Doing? Topics 7.1–7.3

7.4: The Circle

7.5: Volume

7.6: Similar Geometric Figures

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Module 7 Organizer

Module 7 Review Problems

How Am I Doing? Module 7 Test

Math Coach

**Module 8: Introduction to Polynomials**

8.1: Adding and Subtracting Polynomials

8.2: Multiplying Polynomials

How Am I Doing? Topics 8.1–8.2

8.3: Translate from English to Algebra

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8.4: Factoring Using the Greatest Common Factor

Module 8 Organizer

Module 8 Review Problems

How Am I Doing? Module 8 Test

Math Coach

**Module 9: Equations, Inequalities, and Applications**

9.1: Addition and Multiplication Principles of Equality

9.2: Using Both Principles of Equality Together

9.3: Solving Equations with Fractions

How Am I Doing? Topics 9.1–9.3

9.4: Formulas

9.5: Using Equations to Solve Word Problems

9.6: Solving Word Problems Involving Money and Percents

9.7: Solving Inequalities in One Variable

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Module 9 Organizer

Module 9 Review Problems

How Am I Doing? Module 9 Test

Math Coach

**Module 10: Graphing and Functions**

10.1: The Rectangular Coordinate System

10.2: Graphing Linear Equations

10.3: The Slope of a Line

How Am I Doing? Topics 10.1–10.3

10.4: Writing the Equation of a Line

10.5: Graphing Linear Inequalities

10.6: Functions

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Module 10 Organizer

Module 10 Review Problems

How Am I Doing? Module 10 Test

Math Coach

**Module 11: Systems of Linear Equations and Inequalities**

11.1: Systems of Linear Equations in Two Variables

11.2: Systems of Linear Equations in Three Variables

How Am I Doing? Topics 11.1–11.2

11.3: Applications of Systems of Linear Equations

11.4: Systems of Linear Inequalities

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Module 11 Organizer

Module 11 Review Problems

How Am I Doing? Module 11 Test

Math Coach

**Module 12: Exponents and Polynomials**

12.1: The Rules of Exponents

12.2: Negative Exponents and Scientific Notation

12.3: Fundamental Polynomial Operations

How Am I Doing? Topics 12.1–12.3

12.4: Multiplying Polynomials

12.5: Multiplication -Special Cases

12.6: Dividing Polynomials

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Module 12 Organizer

Module 12 Review Problems

How Am I Doing? Module 12 Test

Math Coach

**Module 13: Factoring**

13.1: Removing a Common Factor

13.2: Factoring by Grouping

13.3: Factoring Trinomials When *a* = 1

13.4: Factoring Trinomials When *a* ≠ 1

How Am I Doing? Topics 13.1–13.4

13.5: Special Cases of Factoring

13.6: A Brief Review of Factoring

13.7: Solving Quadratic Equations by Factoring

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Module 13 Organizer

Module 13 Review Problems

How Am I Doing? Module 13 Test

Math Coach

**Module 14: Rational Expressions and Equations**

14.1: Simplifying Rational Expressions

14.2: Multiplying and Dividing Rational Expressions

14.3: Adding and Subtracting Rational Expressions

How Am I Doing? Topics 14.1–14.3

14.4: Simplifying Complex Rational Expressions

14.5: Solving Equations Involving Rational Expressions

14.6: Ratio, Proportion, and Other Applied Problems

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Module 14 Organizer

Module 14 Review Problems

How Am I Doing? Module 14 Test

Math Coach

**Module 15: Rational Exponents and Radicals**

15.1: Rational Exponents

15.2: Radical Expressions and Functions

15.3: Simplifying, Adding, and Subtracting Radicals

15.4: Multiplying and Dividing Radicals

How Am I Doing? Topics 15.1–15.3

15.5: Radical Equations

15.6: Complex Numbers

15.7: Variation

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Module 15 Organizer

Module 15 Review Problems

How Am I Doing? Module 15 Test

Math Coach

**Module 16: Quadratic Equations**

16.1: Quadratic Equations

16.2: Solutions to Quadratic Equations-Quadratic Formula

16.3: Solving Equations That Are Quadratic in Form

How Am I Doing? Topics 16.1–16.3

16.4: Formulas and Applications

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Module 16 Organizer

Module 16 Review Problems

How Am I Doing? Module 16 Test

Math Coach

**Module 17: The Conic Sections**

17.1: The Distance Formula and the Circle

17.2: The Parabola

17.3: The Ellipse

How Am I Doing? Topics 17.1–17.3

17.4: The Hyperbola

17.5: Nonlinear Systems of Equations

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Module 17 Organizer

Module 17 Review Problems

How Am I Doing? Module 17 Test

Math Coach

**Module 18: Additional Properties of Functions**

18.1: Function Notation

18.2: General Graphing Procedures for Functions

How Am I Doing? Topics 18.1–18.2

18.3: Algebraic Operations on Functions

18.4: Inverse of a Function

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Module 18 Organizer

Module 18 Review Problems

How Am I Doing? Module 18 Test

Math Coach

**Module 19: Logarithmic and Exponential Functions**

19.1: The Exponential Function

19.2: The Logarithmic Function

19.3: Properties of Logarithms

How Am I Doing? Topics 19.1–19.3

19.4: Common and Natural Logarithms; Change of Base

19.5: Exponential and Logarithmic Equations

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Module 19 Organizer

Module 19 Review Problems

How Am I Doing? Module 19 Test

Math Coach

**Module 20: Additional Topics**

20.1: Quadratic Functions

20.2: Compound and Quadratic Inequalities

20.3: Absolute Value Equations and Inequalities

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Module 20 Organizer

Module 20 Review Problems

How Am I Doing? Module 20 Test

Math Coach

**Appendices**

Appendix A: Consumer Finance Applications

Appendix B: Introduction to U.S. and Metric Units of Measurement

Appendix C: Additional Arithmetic Practice

Appendix D: Foundations for Intermediate Algebra: A Transition from Beginning to Intermediate Algebra

Appendix E: Determinants and Cramer's Rule

Appendix F: Solving Systems of Linear Equations Using Matrices

Appendix G: Sets