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  Table of Content    
 
Introduction to Algebra
 
Basic Concepts
  • Sets
  • Subsets, Supersets, and Operations with Sets
  • Variables and Algebraic Expressions
  • Monomials
  • Polynomials
  • Factoring
  • Factoring Polynomials (ax2 + bx + c)
  • Factoring by Grouping
  • Algebraic Fractions

 
Equations and Solving an Equations
  • Axioms of Equality
  • Literal Equations
  • Ratios
  • Proportions and Solving Proportions for Value

 
Linear Equations
  • Linear Equations with One Variable
  • Linear Equations with Two Variables
    • Solve Linear Systems by Graphing
    • Solve Linear Systems by Substitution
    • Solve Linear Systems by Elimination

 
Non-Linear Equations
  • Roots and Radicals
  • Operations with Square Roots
  • Quadratics with One Variable
    • Solve Quadratic Equations by Graphing
    • Solve Quadratic Equations by Factoring
    • Solve Quadratic Equations by Completing the Square
    • Solve Quadratic Equations by the Quadratic Formula

 
Inequalities, Axioms, and Properties of Inequalities
  • Graphing on a Number Line and Graphing Inequalities
  • Solve Linear Inequality with One Variable
  • Solve Systems of Linear Inequalities with One Variable
  • Solve Quadratic Inequalities

 
Absolute Value Equations and Inequalities
  • Absolute Values
  • Solve Absolute Value Equations
  • Inequalities Containing Absolute Value

 
Analytic Geometry
  • Coordinate System
  • Graphing Linear Equations
  • Finding the Equation of a Line
  • Graphing Quadratic Equations
  • Graphing Linear Inequalities with Two Variables

 
Functions and Variables
  • The Idea of a Function
    • Relations, Domain and Range
    • Defining a Function
    • Graphs of Relationships that are Functions
    • Graphs of Relationships that are Not Functions
  • Variations
    • Direct Variation
    • Inverse Variation (Indirect Variation)
  • Exponents and Exponential Functions

Reasoning and Proof


 
Introduction to Statistics