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Beginning Algebra: Early Graphing, 4th edition

Published by Pearson (March 4, 2016) © 2017

  • John Tobey North Shore Community College
  • Jeffrey Slater North Shore Community College
  • Jamie Blair Orange Coast College
  • Jennifer Crawford Normandale Community College
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For courses in beginning algebra with early graphing.

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.

Preface
Diagnostic Pretest

0. A Brief Review of Arithmetic Skills

  • Career Opportunities
  • 0.1 Simplifying Fractions
  • 0.2 Adding and Subtracting Fractions
  • 0.3 Multiplying and Dividing Fractions
  • 0.4 Using Decimals
  • Use Math to Save Money
  • 0.5 Percents, Rounding, and Estimating
  • 0.6 Using the Mathematics Blueprint for Problem Solving
  • Career Exploration Problems
  • Chapter 0 Organizer
  • Chapter 0 Review Problems
  • How Am I Doing? Chapter 0 Test
  • Math Coach

1. Real Numbers and Variables

  • Career Opportunities
  • 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
  • Use Math to Save Money
  • 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
  • Career Exploration Problems
  • Chapter 1 Organizer
  • Chapter 1 Review Problems
  • How Am I Doing? Chapter 1 Test
  • Math Coach

2. Equations, Inequalities, and Applications

  • Career Opportunities
  • 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
  • Use Math to Save Money
  • 2.5 Translating English Phrases into Algebraic Expressions
  • 2.6 Using Equations to Solve Word Problems
  • 2.7 Solving Word Problems: The Value of Money and Percents
  • 2.8 Solving Inequalities in One Variable
  • Career Exploration Problems
  • Chapter 2 Organizer
  • Chapter 2 Review Problems
  • How Am I Doing? Chapter 2 Test
  • Math Coach

3. Graphing and Functions

  • Career Opportunities
  • 3.1 The Rectangular Coordinate System
  • 3.2 Graphing Linear Equations
  • 3.3 The Slope of a Line
  • Use Math to Save Money
  • 3.4 Writing the Equation of a Line
  • 3.5 Graphing Linear Inequalities
  • 3.6 Functions
  • Career Exploration Problems
  • Chapter 3 Organizer
  • Chapter 3 Review Problems
  • How Am I Doing? Chapter 3 Test
  • Math Coach
  • Cumulative Test for Chapters 0–3

4. Systems of Equations

  • Career Opportunities
  • 4.1 Solving a System of Equations in Two Variables by Graphing
  • 4.2 Solving a System of Equations in Two Variables by the Substitution Method
  • 4.3 Solving a System of Equations in Two Variables by the Addition Method
  • Use Math to Save Money
  • 4.4 Review of Methods for Solving Systems of Equations
  • 4.5 Solving Word Problems Using Systems of Equations
  • Career Exploration Problems
  • Chapter 4 Organizer
  • Chapter 4 Review Problems
  • How Am I Doing? Chapter 4 Test
  • Math Coach

5. Exponents and Polynomials

  • Career Opportunities
  • 5.1 The Rules of Exponents
  • 5.2 Negative Exponents and Scientific Notation
  • 5.3 Fundamental Polynomial Operations
  • Use Math to Save Money
  • 5.4 Multiplying Polynomials
  • 5.5 Multiplication: Special Cases
  • 5.6 Dividing Polynomials
  • Career Exploration Problems
  • Chapter 5 Organizer
  • Chapter 5 Review Problems
  • How Am I Doing? Chapter 5 Test
  • Math Coach

6. Factoring

  • Career Opportunities
  • 6.1 Removing a Common Factor
  • 6.2 Factoring by Grouping
  • 6.3 Factoring Trinomials of the Form x2 + bx + c
  • 6.4 Factoring Trinomials of the Form ax2 + bx + c
  • Use Math to Save Money
  • 6.5 Special Cases of Factoring
  • 6.6 A Brief Review of Factoring
  • 6.7 Solving Quadratic Equations by Factoring
  • Career Exploration Problems
  • Chapter 6 Organizer
  • Chapter 6 Review Problems
  • How Am I Doing? Chapter 6 Test
  • Math Coach
  • Cumulative Test for Chapters 0–6

7. Rational Expressions and Equations

  • Career Opportunities
  • 7.1 Simplifying Rational Expressions
  • 7.2 Multiplying and Dividing Rational Expressions
  • 7.3 Adding and Subtracting Rational Expressions
  • Use Math to Save Money
  • 7.4 Simplifying Complex Rational Expressions
  • 7.5 Solving Equations Involving Rational Expressions
  • 7.6 Ratio, Proportion, and Other Applied Problems
  • Career Exploration Problems
  • Chapter 7 Organizer
  • Chapter 7 Review Problems
  • How Am I Doing? Chapter 7 Test
  • Math Coach

8. Radicals

  • Career Opportunities
  • 8.1 Square Roots
  • 8.2 Simplifying Radical Expressions
  • 8.3 Adding and Subtracting Radical Expressions
  • 8.4 Multiplying Radical Expressions
  • Use Math to Save Money
  • 8.5 Dividing Radical Expressions
  • 8.6 The Pythagorean Theorem and Radical Equations
  • 8.7 Word Problems Involving Radicals: Direct and Inverse Variation
  • Career Exploration Problems
  • Chapter 8 Organizer
  • Chapter 8 Review Problems
  • How Am I Doing? Chapter 8 Test
  • Math Coach

9. Quadratic Equations

  • Career Opportunities
  • 9.1 Introduction to Quadratic Equations
  • 9.2 Using the Square Root Property and Completing the Square to Find Solutions
  • 9.3 Using the Quadratic Formula to Find Solutions
  • Use Math to Save Money
  • 9.4 Graphing Quadratic Equations
  • 9.5 Formulas and Applied Problems
  • Career Exploration Problems
  • Chapter 9 Organizer
  • Chapter 9 Review Problems
  • How Am I Doing? Chapter 9 Test
  • Math Coach
  • Practice Final Examination

Appendices

  • A: Practice with Operations of Whole Numbers
  • B: The Point–Slope Form of a Line

Photo Credits

Solutions to Student Practice Problems

Answers to Selected Exercises

Glossary

Subject Index

Index of Application (available in MyLab Math)

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