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Intermediate Algebra

Concepts and Graphs

Table of Contents

Downloadable formats: PDF | Word

  • 1 Numbers, Variables and Expressions
  •               1.1              Recognizing patterns
  •               1.2              Products
  •               1.3              Sums and Differences
  •               1.4              Factorizations
  •               1.5              Quotients
  •               1.6              Unit Analysis and Scientific Notation

  • 2 Equations and Inequalities in One Variable
  •               2.1              Linear and Quadratic Equations
  •               2.2              Formulas
  •               2.3              Applications
  •               2.4              Linear Inequalities in One Variable
  •               2.5              Equations with Absolute Value
  •               2.6              Inequalities Involving Absolute Value

  • 3 Equations and Inequalities in Two Variables
  •               3.1              Paired Data and the Rectangular Coordinate System
  •               3.2              The Slope of a Line
  •               3.3              Finding the Equation of a Line
  •               3.4              Linear Inequalities in Two Variables
  •               3.5              Introduction to Functions
  •               3.6              Function Notation
  •               3.7              Variation
  •               3.8              Algebra with Functions

  • 4 Systems of equations
  •               4.1              Systems of Equations in Two Variables
  •               4.2              Systems of Linear Equations in Three Variables
  •               4.3              Applications
  •               4.4              Systems of Linear Inequalities

  • 5 Rational Expressions and Rational Functions
  •               5.1              Basic Properties and Reducing to Lowest Terms
  •               5.2              Multiplication and Division of Rational Expressions
  •               5.3              Addition and Subtraction of Rational Expressions
  •               5.4              Complex Fractions
  •               5.5              Equations with Rational Expressions
  •               5.6              Applications
  •               5.7              Division of Polynomials

  • 6 Rational exponents and roots
  •               6.1              Rational Exponents
  •               6.2              Simplified Form for Radicals
  •               6.3              Addition and Subtraction of Radical Expressions
  •               6.4              Multiplication and Division of Radical Expressions
  •               6.5              Equations with Radicals
  •               6.6              Complex Numbers

  • 7 Quadratic Functions
  •               7.1              Completing the Square
  •               7.2              The Quadratic Formula
  •               7.3              Additional Items Involving Solutions to Equations
  •               7.4              More Equations
  •               7.5              Graphing Parabolas
  •               7.6              Quadratic Inequalities

  • 8 Exponential and Logarithmic Functions
  •               8.1              Exponential Functions
  •               8.2              The Inverse of a Function
  •               8.3              Logarithms are Exponents
  •               8.4              Properties of Logarithms
  •               8.5              Common Logarithms and Natural Logarithms
  •               8.6              Exponential Equations and Change of Base