MyMathGuide for Elementary Algebra

1. 1. Introduction to Algebraic Expressions
   • 1.1 Introduction to Algebra
   • 1.2 The Commutative, Associative, and Distributive Laws
   • 1.3 Fraction Notation
   • 1.4 Positive and Negative Real Numbers
   • 1.5 Addition of Real Numbers
   • 1.6 Subtraction of Real Numbers
   • 1.7 Multiplication and Division of Real Numbers
   • 1.8 Exponential Notation and Order of Operations
2. 2. Equations, Inequalities, and Problem Solving
   • 2.1 Solving Equations
   • 2.2 Using the Principles Together
   • 2.3 Formulas
   • 2.4 Applications with Percent
   • 2.5 Problem Solving
   • 2.6 Solving Inequalities
   • 2.7 Solving Applications with Inequalities
3. 3. Introduction to Graphing
   • 3.1 Reading Graphs, Plotting Points, and Scaling Graphs
   • 3.2 Graphing Linear Equations
   • 3.3 Graphing and Intercepts
   • 3.4 Rates
   • 3.5 Slope
   • 3.6 Slope-Intercept Form
   • 3.7 Point-Slope Form
4. 4. Polynomials
   • 4.1 Exponents and Their Properties
   • 4.2 Polynomials
   • 4.3 Addition and Subtraction of Polynomials
   • 4.4 Multiplication of Polynomials
   • 4.5 Special Products
   • 4.6 Polynomials in Several Variables
   • 4.7 Division of Polynomials
   • 4.8 Negative Exponents and Scientific Notation
5. 5. Polynomials and Factoring
   • 5.1 Introduction to Factoring
   • 5.2 Factoring Trinomials of the Type x² + bx + c
   • 5.3 Factoring Trinomials of the Type ax² + bx + c
   • 5.4 Factoring Perfect-Square Trinomials and Difference of Squares
   • 5.5 Factoring: A General Strategy
   • 5.6 Solving Quadratic Equations by Factoring
   • 5.7 Solving Applications
6. 6. Rational Expressions and Equations
   • 6.1 Rational Expressions
   • 6.2 Multiplication and Division
   • 6.3 Addition, Subtraction, and Least Common Denominators
   • 6.4 Addition and Subtraction with Unlike Denominators
   • 6.5 Complex Rational Expressions
   • 6.6 Rational Equations
   • 6.7 Applications Using Rational Equations and Proportions
7. 7. Systems and More Graphing
   • 7.1 Systems of Equations and Graphing
   • 7.2 Systems of Equations and Substitution
   • 7.3 Systems of Equations and Elimination
   • 7.4 More Applications Using Systems
   • 7.5 Linear Inequalities in Two Variables
   • 7.6 Systems of Linear Inequalities
   • 7.7 Direct Variation and Inverse Variation
8. 8. Radical Expressions and Equations
   • 8.1 Introduction to Square Roots and Radical Expressions
   • 8.2 Multiplying and Simplifying Radical Expressions
   • 8.3 Quotients Involving Square Roots
   • 8.4 Radical Expressions with Several Terms
   • 8.5 Radical Equations
   • 8.6 Applications Using Right Triangles
   • 8.7 Higher Roots and Rational Exponents
9. 9. Quadratic Equations
   • 9.1 Solving Quadratic Equations: The Principle of Square Roots
   • 9.2 Solving Quadratic Equations: Completing the Square
   • 9.3 The Quadratic Formula and Applications
   • 9.4 Formulas
   • 9.5 Complex Numbers as Solutions of Quadratic Equations
   • 9.6 Graphs of Quadratic Functions
   • 9.7 Functions

Appendix A. Factoring Sums or Differences of Cubes

Appendix B. Mean, Median, and Mode

Appendix C. Sets