Visual Algebra I

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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 Equation
- Axioms of Equality
- Literal Equations
- Ratios and Proportions
  - Ratios
  - Proportions and Solving Proportions for Value
Linear Equations
- Linear Equations with One Variable
- Linear Equations with Two Variables
  - Solution Using Graphing
  - Solution Using Substitution
  - Solution Using Elimination
Non-Linear Equations
- Roots and Radicals
- Operations with Square Roots
- Quadratics with One Variable
  - Solution Using Graphing
  - Solution by Factoring
  - Solution by Completing the Square
  - Solution by the Quadratic Formula
Inequalities, Axioms, and Properties of Inequalities
- Graphing on a Number Line and Graphing Inequalities
- Solving Linear Inequality with One Variable
- Solving Systems of Linear Inequalities with One Variable
- Solving Quadratic Inequalities
Absolute Value Equations and Inequalities
- Absolute Values
- Solving Absolute Value Equations
- Inequalities Containing Absolute Value
Analytic Geometry (Coordinate 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)
Introduction to Statistics