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Algebra Videos, solutions, worksheets, & activities
Common Core Math Algebra
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Real Numbers
Introduction to Real Numbers
Analyzing Data
Properties of Real Numbers
Coordinate System
Rectangular Coordinate System
Midpoint Formula
The Slope of a Line
Definition of Slope
Finding the Slope of a Line from a Graph
Finding the Slope of a Line from 2 Points
Finding the Slope of a Line from an Equation
Equation of a Line
Slope-Intercept Form of a Line
Point-Slope Form of a Line
Standard Form of a Line
Applications of Linear Equations
Linear Equations
Solving Linear Equations
Solving for a Parameter in a Linear Equation
Applied Linear Equations: Geometry Problem
Applied Linear Equations: Mixture Problem
Applied Linear Equations
Applied Linear Equations: Investment Problem
Applied Linear Equations: Tax Problem
Applied Linear Equations: Distance Problem
Applied Linear Equations: Collection or Coin Problem
Applied Linear Equations: Consecutive Numbers
Method of Factoring
Review of the Methods of Factoring
Factoring the Sum or Difference of Cubes
Factoring Complicated Expressions
Synthetic Division
Using Synthetic Division to Factor
Solving by Factoring
Rational Roots Theorem
Using Synthetic Division to Solve an Equation
Exponents
Rules of Exponents
Multiplication & Division Properties of Exponents
Zero & Negative Exponents
Scientific Notation
Simplifying Expressions with Exponents
Quadratic Equations
Vocabulary of Quadratic Polynomials
Solving Quadratic Equations by Factoring
Solving Quadratic Equations Using Square Roots
Solving a Quadratic by Completing the Square
Quadratic Formula
Deriving the Quadratic Formula
Overview of the Different Methods of Solving a Quadratic Equation
The Discriminant of a Quadratic Equation
Solving Quadratic Equations in Disguise
Graphing Parabolas
Introduction to Parabolas
Finding the Vertex of a Parabola by Completing the Square
Finding Intercepts, Domain, Range & Vertex of a Parabola
Finding the Maximum or Minimum of a Quadratic
Parabolas
Graphing a Horizontal Parabola
Dilations of Parabolas or Quadratic Graphs
Focus & Directrix of a Parabola
Quadratic Inequality
Graphing a Quadratic Inequality
Solving a Quadratic Inequality using a Sign Chart
Solve Linear Inequalities
Set Operation: Union
Set Operation: Intersection
Solving a Three-part Linear Inequality or Compound Inequality
Applied Linear Inequalities
Solve Systems of Equations
Solve a System of Linear Equations in Two Variables
Solve a Linear System in Three Variables with a Solution
Solve a Linear System in Three Variables with no or Infinite Solutions
Polynomials Basics
Introduction to Polynomials
Polynomial Function
Polynomial Graphs
Basic Polynomial Graphs
Basic Transformations
Multiply & Divide Polynomials
Multiplying Polynomials
Multiplying Complicated Polynomials
Dividing Polynomials using Long Division
Synthetic Division
Dividing Polynomials using Synthetic Division
Using Synthetic Division to Evaluate Polynomials
Pascal’s Triangle & Binomial Theorem
Pascal’s Triangle
Binomial Theorem
Rational Expressions
Definition & Domain of a Rational Expression
Multiplying & Dividing Rational Expressions
Adding & Subtracting Rational Expressions
Simplifying Complex Fractions
Rational Equations
Solving a Rational Equation
Graphing a Rational Expression
Solving a Rational Equation for a parameter
Functions & Inverse Functions
Definition of One-to-One Functions
Definition of Inverse
Finding an Inverse Algebraically
Proving Two Functions are Inverses
Finding an Inverse Graphically
Exponential & Logarithmic Functions
Exponential Functions & their Graphs
Solving Exponential Equations with the ‘Same’ Base
Introduction to Logarithms
Solving Simple Logarithmic Equations
Function Notation with Logs & Exponentials
Graph of Logarithmic Functions
Properties of Logarithms
Product Rule of Logarithms
Quotient Rule of Logarithms
Power Rule of Logarithms
Evaluating Logarithms
Expanding Logarithms
Condensing Logarithms
Evaluating a Logarithmic Expression in terms of Known Quantities
Solve Exponential & Logarithmic Functions
Common & Natural Logarithms
Change of Base Formula
Solve Exponential Equations with the Different Bases
Solve a Logarithmic Equation
Solve a Logarithmic Equation with Multiple Logs
Applications of Exponential & Log Functions
Compound Interest (Finite Number of Calculations)
Compound Interest (Continuously)
Exponential Growth & Decay
Radicals
Introduction to Radicals
Radicals & Absolute Values
Rational Exponents
Rational Exponents
Evaluating Rational Exponents
Rational Exponents with Negative Coefficients
Rules for Rational Exponents
Radical Expressions & Equations
Simplifying Radicals using Rational Exponents
Multiplying Radicals of the Same Root
Multiplying Radicals of Different Roots
Rationalize Denominator
Rationalizing the Denominator with Higher Roots
Rationalizing a Denominator with a Binomial
Solve an Equation with Radicals
Imaginary Numbers
Introduction to Imaginary Numbers
Adding & Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Powers of i
Matrices
Introduction to Matrices
Matrix Operations
Matrix Multiplication
Augmented Matrices
Parabolas
Introduction to Conic Sections
The Parabola
The Circle
The Ellipse
Hyperbolas
The Hyperbola
Transformations of a Hyperbola
Conic Section Formulas & Equations
Sequences
Introduction to Sequences
Series & Summation Notation
Arithmetic Sequences & Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences & Series
Geometric Sequences
Geometric Series
Recursion Sequences
Recursion Sequences
Mathematical Induction
Step Functions etc.
Step Functions
Piecewise Functions
Using the Calculator
Common Algebra Mistakes
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