Fundamental Algebra

Breadcrumb Abstract Shape
Breadcrumb Abstract Shape

Contents

  1. Exponents, Order of Operations and Inequality

Exponents

Inequalities

Converting Word Statements to Symbols

  1. Variables, Expressions and Equations

Algebraic Expressions

o Evaluating Algebraic Expressions

o Converting Word Statements to Symbols

o Equations and Evaluating Equations

  1. Real Numbers and The Number Line

o Natural Numbers (Counting Numbers)

o Whole Numbers

o Integers

o Rational Numbers

o Irrational Numbers

o Opposites

o Absolute Value

o Graphing Real Numbers

  1. Adding Real Numbers

o Adding Real

o Numbers Using the Number Line

o Adding Like Sings

o Adding Unlike Sings

o Adding Fractions

o Phrases/Terms That Mean Additions

  1. Subtracting Real Numbers

o Subtracting Signed Numbers

o Subtracting Fractions

o Phrases/Terms That Mean Subtractions

  1. Multiplying and Dividing Real Numbers

o Multiplication Property of Zero

o Multiplying Real Numbers

o Reciprocals

o Dividing Real Numbers

o Converting Word Statements to Symbols

  1. Properties of Real Numbers

o Commutative Properties of Addition

o Commutative Properties of Multiplication

o Associative Properties of Addition

o Associative Properties of Multiplication

o Inverse Properties of Addition 

o Inverse Properties of Multiplication

o Identity Properties of Addition

o Identity Properties of Multiplication

o Distributive Properties

  1. Simplifying Expressions

o Variables, Coefficients and Constants

o Combining Like Terms

  1. The Addition Property of Equality

o Linear Equations in one Variables

o Addition Property of Equality

     10. The Multiplication Property of Equality

o Multiplication Property of Equality   

      11. Solving Linear Equations

o Solving Linear Equations

      12.The Application of Linear Equation

o Word Problem Solving

o Solving Word Problems of Triangles

o Solving Word Problems of Complementary

o Solving Word Problems of Supplementary

o Solving Word Problems of Consecutive Integers

  1. Ratio, Proportion and Percent

o Ratio

o Proportion

o Basic Percent Equation and Percent Proportion

  1. Solving Linear Inequalities

o Solving Linear Inequalities

o Interval Notations

  1. Linear Equation in two Variables

o Ordered Pair

o Coordinate System

o Standard form of the Linear Equation on Two Variable

o Completing the Table of Values

o Graphing Linear Equation in Two Variables

  1. Adding and Subtracting Polynomials

o Adding and Subtracting Like-term

o Descending Order (Descending Power)

o Degree Term of a Polynomial

o Polynomials (Monomials, Binomials….)

o Adding Vertically/Subtracting Vertically

o Adding Horizontally/Subtracting Horizontally

  1. Product and Power Rule for Exponents

o Exponents

o Product Rule of Exponents

o Power Rule of Exponents

  1. Multiplying Polynomials

o Multiplying a Monomial and Polynomial

o Multiplying Two Polynomials

o Multiplying Two Binomials (Using F.O.I.L Method)

  1. Special Product

o Squaring a Binomial

o Squaring a Binomial Using Pony Method

  1. Integer Exponents and the Quotient Rule

o Negative Exponent Rule

o Quotient (Division) Rule of Exponent

  1. Integer Exponents and the Quotient Rule

o Scientific Notation

  1. The Greatest Common Factor

o Factorising

o Greatest Common Factor (GCF)

o Prime Number

o Factorising into Primes

o Factoring out the Greatest Common Factor (GCF)

o Factoring by Grouping

  1. Factorising Trinomials

o Factorising Trinomials by Grouping (A.C Method)

o Factorising Trinomials by Using FOIL Method

  1. Factorising Trinomials by Grouping

o Factorising Trinomials by Grouping (A.C Method)

o Factorising Trinomials by Using FOIL Method

  1. Special Factoring Techniques

o Perfect Squares

o Perfect the 4th Squares

o The difference if Two Perfect Squares

o The Sum of Perfect Squares (Prime) Non-Factorable

o Perfect Square Trinomials

  1. Solving Quadratic Equations by Factoring

o Linear Equation

o Standard form of a Quadratic Equation

o Zero-Factor Property

o Solving Quadratic Equation by Factoring

  1. The Properties of Rational Expressions

o Rational Expressions

o Expressing Rational Expressions in Lowest Terms

  1. Evaluating Roots

o Evaluating Roots

o Rational and Irrational Roots

o Negative Roots

  1. Multiplying, Dividing and Simplifying Radicals

o Product Rule for Radicals

o Multiplying Radicals

o Quotient Rule for Radicals

  1. Adding and Subtracting Radicals

o Adding and Subtracting Radicals

  1. More Operations with Radicals

o Simplifying Radicals

o Multiplying Radicals Using Distributive Property

o Multiplying Radicals Using F.O.I.Ll Algebra