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.
Preface
Diagnostic Pretest
0. A Brief Review of Arithmetic Skills
0.1 Simplifying Fractions
0.2 Adding and Subtracting Fractions
0.3 Multiplying and Dividing Fractions
0.4 Using Decimals
How Am I Doing? Sections 0.1—0.4
0.5 Percents, Rounding, and Estimating
0.6 Using the Mathematics Blueprint for Problem Solving
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Chapter 0 Organizer
Chapter 0 Review Problems
How Am I Doing? Chapter 0 Test
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1. Real Numbers and Variables
1.1 Adding Real Numbers
1.2 Subtracting Real Numbers
1.3 Multiplying and Dividing Real Numbers
1.4 Exponents
1.5 The Order of Operations
How Am I Doing? Sections 1.1—1.5
1.6 Using the Distributive Property to Simplify Algebraic Expressions
1.7 Combining Like Terms
1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas
1.9 Grouping Symbols
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Chapter 1 Organizer
Chapter 1 Review Problems
How Am I Doing? Chapter 1 Test
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2. Equations and Inequalities
2.1 The Addition Principle of Equality
2.2 The Multiplication Principle of Equality
2.3 Using the Addition and Multiplication Principles Together
2.4 Solving Equations with Fractions
How Am I Doing? Sections 2.1—2.4
2.5 Formulas
2.6 Solving Inequalities in One Variable
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Chapter 2 Organizer
Chapter 2 Review Problems
How Am I Doing? Chapter 2 Test
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3. Solving Applied Problems
3.1 Translating English Phrases into Algebraic Expressions
3.2 Using Equations to Solve Word Problems
3.3 Solving Word Problems: Comparisons
How Am I Doing? Sections 3.1—3.3
3.4 Solving Word Problems: The Value of Money and Percents
3.5 Solving Word Problems Using Geometric Formulas
3.6 Using Inequalities to Solve Word Problems
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Chapter 3 Organizer
Chapter 3 Review Problems
How Am I Doing? Chapter 3 Test
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Cumulative Test for Chapters 0—3
4. Exponents and Polynomials
4.1 The Rules of Exponents
4.2 Negative Exponents and Scientific Notation
4.3 Fundamental Polynomial Operations
How Am I Doing? Sections 4.1—4.3
4.4 Multiplying Polynomials
4.5 Multiplication: Special Cases
4.6 Dividing Polynomials
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Chapter 4 Organizer
Chapter 4 Review Problems
How Am I Doing? Chapter 4 Test
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5. Factoring
5.1 Removing a Common Factor
5.2 Factoring by Grouping
5.3 Factoring Trinomials of the Form x ^{2} + bx + c
5.4 Factoring Trinomials of the Form ax ^{2} + bx + c
How Am I Doing? Sections 5.1—5.4
5.5 Special Cases of Factoring
5.6 A Brief Review of Factoring
5.7 Solving Quadratic Equations by Factoring
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Chapter 5 Organizer
Chapter 5 Review Problems
How Am I Doing? Chapter 5 Test
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6. Rational Expressions and Equations
6.1 Simplifying Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
How Am I Doing? Sections 6.1—6.3
6.4 Simplifying Complex Rational Expressions
6.5 Solving Equations Involving Rational Expressions
6.6 Ratio, Proportion, and Other Applied Problems
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Chapter 6 Organizer
Chapter 6 Review Problems
How Am I Doing? Chapter 6 Test
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Cumulative Test for Chapters 0—6
7. Graphing and Functions
7.1 The Rectangular Coordinate System
7.2 Graphing Linear Equations
7.3 The Slope of a Line
How Am I Doing? Sections 7.1—7.3
7.4 Writing the Equation of a Line
7.5 Graphing Linear Inequalities
7.6 Functions
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Chapter 7 Organizer
Chapter 7 Review Problems
How Am I Doing? Chapter 7 Test
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8. Systems of Equations
8.1 Solving a System of Equations in Two Variables by Graphing
8.2 Solving a System of Equations in Two Variables by the Substitution Method
8.3 Solving a System of Equations in Two Variables by the Addition Method
How Am I Doing? Sections 8.1—8.3
8.4 Review of Methods for Solving Systems of Equations
8.5 Solving Word Problems Using Systems of Equations
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Chapter 8 Organizer
Chapter 8 Review Problems
How Am I Doing? Chapter 8 Test
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9. Radicals
9.1 Square Roots
9.2 Simplifying Radical Expressions
9.3 Adding and Subtracting Radical Expressions
9.4 Multiplying Radical Expressions
How Am I Doing? Sections 9.1—9.4
9.5 Dividing Radical Expressions
9.6 The Pythagorean Theorem and Radical Equations
9.7 Word Problems Involving Radicals: Direct and Inverse Variation
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Chapter 9 Organizer
Chapter 9 Review Problems
How Am I Doing? Chapter 9 Test
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10. Quadratic Equations
10.1 Introduction to Quadratic Equations
10.2 Using the Square Root Property and Completing the Square to Find Solutions
10.3 Using the Quadratic Formula to Find Solutions
How Am I Doing? Sections 10.1—10.3
10.4 Graphing Quadratic Equations
10.5 Formulas and Applied Problems
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Chapter 10 Organizer
Chapter 10 Review Problems
How Am I Doing? Chapter 10 Test
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Practice Final Examination
Appendix A. Table of Square Roots
Appendix B. Metric Measurement and Conversion of Units
Appendix C. Interpreting Data from Tables, Charts, and Graphs
Appendix D. The Point–Slope Form of a Line
Solutions to Practice Problems
Answers to Selected Exercises
Glossary
Subject Index
Photo Credits
Index of Applications (Available in MyMathLab)