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Math 200 - Elementary Algebra

Table of Contents

• About the Author

• Acknowledgments

• Preface

• Chapter 1: Real Numbers and Their Operations

  • 1.1 Real Numbers and the Number Line
  • 1.2 Adding and Subtracting Integers
  • 1.3 Multiplying and Dividing Integers
  • 1.4 Fractions
  • 1.5 Review of Decimals and Percents
  • 1.6 Exponents and Square Roots
  • 1.7 Order of Operations
  • Review Exercises and Sample Exam

• Chapter 2: Linear Equations and Inequalities

  • 2.1 Introduction to Algebra
  • 2.2 Simplifying Algebraic Expressions
  • 2.3 Solving Linear Equations: Part I
  • 2.4 Solving Linear Equations: Part II
  • 2.5 Applications of Linear Equations
  • 2.6 Ratio and Proportion Applications
  • 2.7 Introduction to Inequalities and Interval Notation
  • 2.8 Linear Inequalities (One Variable)
  • Review Exercises and Sample Exam

• Chapter 3: Graphing Lines

  • 3.1 Rectangular Coordinate System
  • 3.2 Graph by Plotting Points
  • 3.3 Graph Using Intercepts
  • 3.4 Graph Using the y-Intercept and Slope
  • 3.5 Finding Linear Equations
  • 3.6 Parallel and Perpendicular Lines
  • 3.7 Introduction to Functions
  • 3.8 Linear Inequalities (Two Variables)
  • Review Exercises and Sample Exam

• Chapter 4: Solving Linear Systems

  • 4.1 Solving Linear Systems by Graphing
  • 4.2 Solving Linear Systems by Substitution
  • 4.3 Solving Linear Systems by Elimination
  • 4.4 Applications of Linear Systems
  • 4.5 Solving Systems of Linear Inequalities (Two Variables)
  • Review Exercises and Sample Exam

• Chapter 5: Polynomials and Their Operations

  • 5.1 Rules of Exponents
  • 5.2 Introduction to Polynomials
  • 5.3 Adding and Subtracting Polynomials
  • 5.4 Multiplying Polynomials
  • 5.5 Dividing Polynomials
  • 5.6 Negative Exponents
  • Review Exercises and Sample Exam

• Chapter 6: Factoring and Solving by Factoring

  • 6.1 Introduction to Factoring
  • 6.2 Factoring Trinomials of the Form x^2 + bx + c
  • 6.3 Factoring Trinomials of the Form ax^2 + bx + c
  • 6.4 Factoring Special Binomials
  • 6.5 General Guidelines for Factoring Polynomials
  • 6.6 Solving Equations by Factoring
  • 6.7 Applications Involving Quadratic Equations
  • Review Exercises and Sample Exam

• Chapter 7: Rational Expressions and Equations

  • 7.1 Simplifying Rational Expressions
  • 7.2 Multiplying and Dividing Rational Expressions
  • 7.3 Adding and Subtracting Rational Expressions
  • 7.4 Complex Rational Expressions
  • 7.5 Solving Rational Equations
  • 7.6 Applications of Rational Equations
  • 7.7 Variation
  • Review Exercises and Sample Exam

• Chapter 8: Radical Expressions and Equations

  • 8.1 Radicals
  • 8.2 Simplifying Radical Expressions
  • 8.3 Adding and Subtracting Radical Expressions
  • 8.4 Multiplying and Dividing Radical Expressions
  • 8.5 Rational Exponents
  • 8.6 Solving Radical Equations
  • Review Exercises and Sample Exam

• Chapter 9: Solving Quadratic Equations and Graphing Parabolas

  • 9.1 Extracting Square Roots
  • 9.2 Completing the Square
  • 9.3 Quadratic Formula
  • 9.4 Guidelines for Solving Quadratic Equations and Applications
  • 9.5 Graphing Parabolas
  • 9.6 Introduction to Complex Numbers and Complex Solutions
  • Review Exercises and Sample Exam