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Intermediate Algebra

Intermediate Algebra

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  • Graphing Linear Equations in Two Variables
    • Rectangular Coordinate System
    • Linear Equations in Two Variables
    • Slope of a Line and Rate of Change
    • Slope-Intercept Form of a Linear Equation
    • Applications of Linear Equations
  • Systems of Linear Equations
    • Solve a System of Linear Equations by Graphing
    • Solve a System of Linear Equations by Substitution
    • Solve a System of Linear Equations by Elimination
    • Applications of Systems of Linear Equations
    • Systems of Linear Equations in Three Variables
  • Polynomials
    • Add/Sub Polynomials
    • Multiplication of Polynomials
    • Division of Polynomials
  • Factoring Polynomials
    • GCF and Factoring by Grouping
    • Factoring Quadratics, a=1
    • Factoring Quadratics by ac-method: a is not 1
    • Difference of Squares and Perfect Square Trinomials
    • Sum and Difference of Cubes
    • Solving Equations Using the Zero Product Property
    • Applications of Quadratic Equations
  • Rational Expressions and Equations
    • Introduction to Rational Expressions
    • Mult/ Divide Rational Expressions
    • Least Common Denominator
    • Add/ Sub Rational Expressions
    • Complex Fractions
    • Rational Equations
    • Applications of Rational Equations
  • More Equations and Inequalities
    • Linear Inequalities One Dimension
    • Compound Inequalities
    • Interval Notation, Set Notation, Venn Diagrams
    • Quadratic, Polynomial and Rational Inequalities
    • Absolute Value Equations
    • Absolute Value Inequalities
    • Linear Inequalities in Two Dimensions
    • Compound Inequalities in Two Dimensions
  • Radicals and Complex Numbers
    • Radicals and Definition of n-th Root
    • Rational Exponents
    • Simplifying Radical Expressions
    • Add/ Subtract Radicals
    • Multiplication of Radicals
    • Division of Radicals
    • Solving Radical Equations
    • Complex Numbers
  • Relations and Functions
    • Introduction to Relations and Functions
    • Graphing Absolute Value Functions and Square Root Functions
    • Translating Graphs of Functions
    • Variation
    • Combining or Composing Functions
    • Inverse Functions
    • Summary of Graphing Basic Functions
    • Piecewise Functions
    • Rational Functions
  • Quadratic Equations and Functions
    • Square Root Property (aka Even Root Property)
    • Completing the Square
    • Quadratic Formula
    • Graphing Quadratic Functions
    • Applications of Quadratic Functions
  • Exponential and Logarithmic Functions
    • Graphing Exponential and Logarithmic Functions
    • Applications of Exponential Functions
    • Introduction to Logarithms
    • Properties of Logarithms
    • Irrational Number e and the Change of Base
    • Solving Exponential Equations
    • Solving Logarithmic Equations
    • Applications of Logarithms

Rational Functions

We’ll just introduce the rational function by going over the domain.

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