Algebra 2
Free 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