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Algebra 2
Online algebra video lessons to help students with the formulas, equations and calculator use, to improve their math problem solving skills to get them to the answers of their Algebra 2 homework and worksheets.
Graphs of Linear Equations
- Finding the Slope of a Line from a Graph
- Finding the Slope of a Line from an Equation
- Applications of Linear Equations
- Rectangular Coordinate System
- Midpoint Formula
- Slope
- Slope-Intercept Form of a Line
- Point-Slope Form of a Line
- Standard Form of a Line
Functions
- Introduction to Functions
- Domain and Range
- Function Notation
- Direct Variation
- Indirect Variation
- Joint and Combined Variation
- Composition of Functions
Systems of Linear Equations
- Solving a System of Linear Equations in Two Variables
- Solving a Linear System in Three Variables with a Solution
- Solving a Linear System in Three Variables with no or Infinite Solutions
Matrices
Polynomials
- Introduction to Polynomials
- Polynomial Function
- Basic Polynomial Graphs
- Basic Transformations
- Multiplying Polynomials
- Multiplying Complicated Polynomials
- Pascal's Triangle
- Binomial Theorem
- Dividing Polynomials using Long Division
- Dividing Polynomials using Synthetic Division
- Using Synthetic Division to Evaluate Polynomials
Factoring
- Review of the Methods of Factoring
- Factoring Complicated Expressions
- Factoring the Sum or Difference of Cubes
- Using Synthetic Division to Factor
- Solving by Factoring
- Rational Roots Theorem
- Using Synthetic Division to Solve an Equation
Rational Expressions and Functions
- Definition and Domain of a Rational Expression
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Simplifying Complex Fractions
- Solving a Rational Equation
- Graphing a Rational Expression
- Solving a Rational Equation for a parameter
Roots and Radicals
- Introduction to Radicals
- Radicals and Absolute Values
- Rational Exponents
- Evaluating Rational Exponents
- Rational Exponents with Negative Coefficients
- Rules for Rational Exponents
- Simplifying Radicals using Rational Exponents
- Multiplying Radicals of the Same Root
- Multiplying Radicals of Different Roots
- Rationalizing the Denominator with Higher Roots
- Rationalizing a Denominator with a Binomial
- Solving an Equation with Radicals
- Introduction to Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Powers of i
Quadratic Equations and Inequalities
- Dilations of Quadratic Graphs
- Vocabulary of Quadratic Polynomials
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations Using Square Roots
- Solving a Quadratic by Completing the Square
- 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
- Introduction to Parabolas
- Finding the Vertex of a Parabola by Completing the Square
- Finding Intercepts, Domain, Range and Vertex of a Parabola
- Finding the Maximum or Minimum of a Quadratic
- Graphing a Horizontal Parabola
- Graphing a Quadratic Inequality
- Solving a Quadratic Inequality using a Sign Chart
- Focus and Directrix of a Parabola
Inverse, Exponential and Logarithmic Functions
- Definition of One-to-One Functions
- Definition of Inverse
- Finding an Inverse Algebraically
- Proving Two Functions are Inverses
- Finding an Inverse Graphically
- Exponential Functions and their Graphs
- Solving Exponential Equations with the 'Same' Base
- Introduction to Logarithms
- Solving Simple Logarithmic Equations
- Function Notation with Logs and Exponentials
- Graph of Logarithmic Functions
- Product Rule of Logarithms
- Quotient Rule of Logarithms
- Power Rule of Logarithms
- Expanding Logarithms
- Condensing Logarithms
- Common and Natural Logarithms
- Change of Base Formula
- Solving Exponential Equations with the Different Bases
- Solving a Logarithmic Equation
- Solving a Logarithmic Equation with Multiple Logs
- Compound Interest (Finite Number of Calculations)
- Compound Interest (Continuously)
- Exponential Growth and Decay
- Evaluating a Logarithmic Expression in terms of Known Quantities
Conic Sections
- Introduction to Conic Sections
- The Circle
- The Ellipse
- The Hyperbola
- Transformations of a Hyperbola
- Conic Section Formulas
Sequences and Series
- Introduction to Sequences
- Series and Summation Notation
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
- Recursion Sequences
- Mathematical Induction
Combinatorics
- Introduction to Probability
- Fundamental Counting Principal
- Permutations
- Combinations
- Combinations vs. Permutations
- Probability of Multiple Events
- Probability of Independent Events
- Using the Complement to Calculate Probability
- Probability of Dependent Events
- Conditional Probability
Additional Topics
- Step Functions
- Using the Calculator
- Common Algebra II Mistakes
- Piecewise Functions
- Circle Tic Tac Toe Fun
Real Numbers
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: Investment Problem
- Applied Linear Equations: Tax Problem
- Applied Linear Equations: Distance Problem
- Applied Linear Equations: Collection Problem
- Applied Linear Equations: Consecutive Numbers
Linear Inequalities
- Solving Linear Inequalities
- Solving a Three-part Linear Inequality
- Applied Linear Inequalities
- Set Operation: Union
- Set Operation: Intersection