ALGEBRA TOPICS

__Fractions__

**Adding and Subtracting Fractions**

**Adding and Subtracting Polynomials**

**Multiplying and Dividing Fractions **

__Negative Numbers__

**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 **

**Negative Exponents and Fractional Exponents**

**Evaluating Numbers Raised to Fractional Exponents**

**Simplifying Numbers Under Square Roots**

** ****Factoring Polynomials(*)**

**- Quadratics (*)**** **

**Adding and Subtraction Functions **

**Multplying and Dividing Functions **

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

**Long Division of Polynomials - Slightly Harder Example**

**Synthetic Division - Example 2**

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

**Deriving the Quadratic Formula**

**More Examples Using the Quadratic Formula**

**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 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**

**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**

**Factorials - Evaluating Factorials - Basic Numerical Examples**

**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**

**Another SAT Math Test - Part 1**

**Another SAT Math Test - Part 2**