Free Algebra Course Outline

• Lesson :   Number Systems - Some Basics of Algebra Math
  
  • Real, Rational, Ir-rational, Prime, Natural and Whole Numbers
  • The Integers (Positive and Negative Integers)
  • The Integers (Multiplying and Dividing Integers)

• Lesson :   Fractions
  
  • Reducing Fraction to Lowest Terms
  • Addition and Subtraction of Fractions
  • Multiplying and Dividing of Fractions
  • Solving Real Numbers

• Lesson :  Basic Operations and its Properties
  
  • The Rules for the Order of Operations
  • Factors
  • Properties of Operations
  • Addition of two numbers
  • Subtraction of two numbers
  • Multiplication of two numbers
  • Division of Two Number

• Lesson :   Algebraic Expressions
  
  • Meaning or Vocabulary of the Algabrainc Terms
  • Convert Verbal Phrase Into Algebraic form
  • Write the Algabraic Terms/Phrase into Words
  • Adding or Subtracting Algebraic Terms
  • Evaluating Algabraic Expressions
  • Open Sentences and Solution Sets

• Lesson :   The Equation of Degree One - (First Degree Equatons)
  
  • Solve the Equation having More than One Operation
  • Solving Equation having variable in one side
  • Solving Equation having variable in both the sides
  • Solving Equation using basic formulas

• Lesson :   Factoring a Quadratic Expression
  
  • Perfect Square Trinomials
  • Graphing the solution set of an inequality
  • Solve the Problems using Inequality
  • The Square of a Monomial
  • Multiply the Sum and the Difference of Two Terms
  • Factoring the Difference of Two Perfect Squares
  • Multiplying Two Binomials
  • Factoring Trinomials

• Lesson :   Inequalities
  
  • Properties of Inequalities
  • Graphing the solution set of an inequality
  • Solve the Problems using Inequality

• Lesson :   Polynomials
  
  • Polynomials
  • Algebraic Identities for Factorization of Polynomials
  • Solving Polynomial Equation Using Remainder Theorem
  • Solving Polynomial Equation Using Factor Theorem
  • Algebraic Identities:
  • Negative Exponents

• Lesson :   Exponents and Powers
  
  • Terms : Base, Exponent and Power
  • Power with Zero
  • Myltiplying Powers that have the same base
  • Dividing Powers that have the same Base
  • Negative Exponents

• Lesson :   Square Roots and Radicals
  
  • Radicals Sign
  • Simplifying a square root and radicals
  • Addition and subtraction of radicals
  • Myltiplying the square roots and radicals
  • Dividing the square roots and radicals

• Lesson :   Solving Quadratic Equations
  
  • Quadratic Equations
  • Solving Problems Involving Ratio

• Lesson :   Ratio and Rates
  
  • Basics of Ratio and Rates
  • Solving Problems Involving Ratio

• Lesson :   Proportion
  
  • Meaning of Proportion
  • Direct Variation
  • Solving Problems using the Proportion

• Lesson :   Percentage
  
  • Meaning of Percentage
  • Solving Percentage Problems

• Lesson :   The Slope and Intercept of a Line
  
  • The slope of a Line
  • The Slope of a Parallel and Perpendicualr Lines
  • The intercepts of a line
  • The y-intercepts and a slope in line y = mx + c

• Lesson :   Finding Equation of a Line
  
  • Equation of a line when the slope and one point is given
  • Equation of a line when the two points are given
  • Equation of a line when intercepts are given

• Lesson :   System of Linear Equations
  
  • Solving System of Linear Equation by addition
  • Solving System of Linear Equation by Substitution
  • Solving Word problems using System of Linear Equations