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ALGEBRA TOPICS


Fractions

Adding and Subtracting Fractions

Adding and Subtracting Polynomials

Multiplying and Dividing Fractions

Negative Numbers

Factoring Numbers

Absolute Value

Radical Notation -What Radical Notation Means, Simplifying Radicals, and Converting Fractional Exponents to Radical Notation

Finding the Least Common Multiple, LCM

Finding the Greatest Common Factor, GCF

Rationalizing the Denominator of a Fraction - A few basic examples

Rationalizing the Denominator of a Fraction - A harder example

Graphing

Graphing Linear Functions by Finding X and Y Intercepts

Finding the Slope between Two Points

Finding the Equation of a Line Using Point-Slope Form

Finding the Domain and Range of the Above Piecewise Defined Function

Finding the Formula of a Piecewise Defined Function from a Graph

A quick sketch of about 10 basic graphs you should know!

Graphing the Great Integer Function also known as the Floor Function

Graph Transformations - Horizontal and Vertical shifts

Graph Transformations - Basic Formulas and Vertical Stretching/Compressing is Discussed

Graph Transformations - Horizontal and Vertical Stretching/Compressing is Discussed

Graph Transformations - Reflections about the X - Axis and Y-Axis are discussed - Basic Idea!

Graph Transformations - Putting it All Together!! Example 1

Graph Transformations - Putting it All Together!! Example 2

Graphing Linear Systems of Inequalities - Example 1

Graphing Linear Systems of Inequalities - Example 2

Finding the Equation of an Exponential Function from a Graph


Random Topics

The Basic Rules

Negative Exponents and Fractional Exponents

Evaluating Numbers Raised to Fractional Exponents

Simplifying Numbers Under Square Roots

 Factoring Polynomials(*)

- Basic Factoring (*)

- Quadratics (*) 

Function Notation

Adding and Subtraction Functions

Multplying and Dividing Functions

 Composition of Functions

 Domain and Range - Basic Idea - Reading the Domain and Range from Two Graphs

Long Division of Polynomials

Long Division of Polynomials - Slightly Harder Example

Synthetic Division - Example 2

Finding the Domain of a Function (not from a graph)

Intermediate Value Theorem

The Pythagorean Theorem

Complex Numbers - Graphing, Adding and Subtracting

Complex Numbers - Multiplying and Dividing

Algebra Word Problem: Distance rate, time


Logarithms

Properties of Logarithms - Logarithmic Functions (all in one video)

Properties of Logarithms - Part 1

Properties of Logarithms - Part 2 (includes solving equations)


Solving Equations and Inequalities

Solving Linear Equations

Solving Linear Inequalities

Solving Quadratic Equations (both factoring and the quadratic formula are covered)

Deriving the Quadratic Formula

More Examples Using the Quadratic Formula

The Discriminant - Using the Discriminant to Determine the Number of Solutions to a Quadratic Equation

Solving Quadratic Equations using Factoring by Grouping

Solving Quadratic Equations by Completing the Square

Vertex Form of Quadratic Equations and Completing the Square

Solving Quadratic Inequalities

Solving Rational Equations

Solving Rational Inequalities

Solving Equations Involving Rational Exponents

Solving Equations Involving Square Roots

Solving Absolute Value Equations and Inequalities

Solving Systems of Linear Equations Using Substitution

Solving Systems of Linear Equations Using Elimination by Addition

Solving a System of Equations Using the Inverse of the Matrix

Linear Programming

See Logarithms above for Exponential and Logarithmic Equations!

Synthetic Division - Example 1

Graphing Piecewise Defined Functions

Matrices

Basic Matrix Operations - Adding, Subtracting and Multiplying by a Constant

Multiplying a Matrix by Another Matrix

Row Reducing a Matrix - Part 1, Solving Linear Systems of Equations Using a Matrix

Row Reducing a Matrix - Part 2, Solving Linear Systems of Equations Using a Matrix

Solving a System of Equations Using the Inverse of the Matrix


Counting Techniques/ Probability

The Multiplication Principle

Factorials - Evaluating Factorials - Basic Numerical Examples

Counting Using Permutations

Counting Using Combinations

Calculating the Probability of Simple Events

Calculating Probabilities for "And" statements - Independent Events

Calculating Probabilities for "And" statements - DEPENDENT Events

Calculating Probabilities for "At Least One" statements

Texas Millions! What is the probability of you winning the Texas Lotto if you buy one ticket?


SAT Math Videos

SAT Math Video #1

SAT Math Video #2

SAT Math Video #3

SAT Math Video #4

SAT Math Video #5

SAT Math Video #6

SAT Math Video #7

SAT Math Video #8

Another SAT Math Test - Part 1

Another  SAT Math Test - Part 2