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Introductory Algebra

Concepts and Graphs

Table of Contents

Downloadable formats: PDF | Word

  • 1 The Basics
  •               1.1              Notation and Symbols
  •               1.2              Real Numbers
  •               1.3              Addition with Real Numbers
  •               1.4              Subtraction of Real Numbers
  •               1.5              Properties of Real Numbers
  •               1.6              Multiplication of Real Numbers
  •               1.7              Division of Real Numbers
  •               1.8              Subsets of the Real Numbers
  •               1.9              Addition and Subtraction with Fractions

  • 2 Linear Equations and Inequalities
  •               2.1              Simplifying Expressions
  •               2.2              Addition Property of Equality
  •               2.3              Multiplication Property of Equality
  •               2.4              Solving Linear Equations
  •               2.5              Formulas
  •               2.6              Applications
  •               2.7              More Applications
  •               2.8              Linear Inequalities

  • 3 Graphing
  •               3.1              Paired Data and Graphing Ordered Pairs
  •               3.2              Solutions to Linear Equations in Two Variables
  •               3.3              Graphing Linear Equations in Two Variables
  •               3.4              More on Graphing: Intercepts
  •               3.5              The Slope of a Line
  •               3.6              Finding the Equation of a Line
  •               3.7              Linear Inequalities in Two Variables

  • 4 Exponents and Polynomials
  •               4.1              Multiplication with Exponents
  •               4.2              Division with Exponents
  •               4.3              Operations with Monomials
  •               4.4              Addition and Subtraction of Polynomials
  •               4.5              Multiplication with Polynomials
  •               4.6              Binomial Squares and Other Special Products
  •               4.7              Dividing a Polynomial by a Monomial
  •               4.8              Dividing a Polynomial by a Polynomial

  • 5 Factoring
  •               5.1              The Greatest Common Factor and Factoring by Grouping
  •               5.2              Factoring Trinomials
  •               5.3              More Trinomials to Factor
  •               5.4              The Difference of Two Squares
  •               5.5              The Sum and Difference of Two Cubes
  •               5.6              Factoring: A General Review
  •               5.7              Solving Equations by Factoring
  •               5.8              Applications

  • 6 Rational Expressions
  •               6.1              Reducing Rational Expressions to Lowest Terms
  •               6.2              Multiplication and Division of Rational Expressions
  •               6.3              Addition and Subtraction of Rational Expressions
  •               6.4              Equations involving Rational Expressions
  •               6.5              Applications
  •               6.6              Complex Fractions
  •               6.7              Proportions
  •               6.8              Variation

  • 7 Systems of Equations
  •               7.1              Solving Linear Systems by Graphing
  •               7.2              The Elimination Method
  •               7.3              The Substitution Method
  •               7.4              Applications

  • 8 Roots, Radicals, and more Quadratic Equations
  •               8.1              Definitions and Common Roots
  •               8.2              Properties of Radicals
  •               8.3              Simplified Form for Radicals
  •               8.4              More Quadratic Equations
  •               8.5              Completing the Square
  •               8.6              The Quadratic Formula