Intermediate Algebra or Algebra II
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Videos, solutions, worksheets, and activities to help Algebra students
Common Core Math Algebra
Need help in Algebra II or Intermediate Algebra?
We have a series of free, online Intermediate Algebra Lessons or Algebra II lessons.
The Real Numbers
Introduction to Real Numbers
Analyzing Data
Properties of Real Numbers
Graphs of Linear Equations
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: Investment Problem
Applied Linear Equations: Tax Problem
Applied Linear Equations: Distance Problem
Applied Linear Equations: Collection or Coin Problem
Applied Linear Equations: Consecutive Numbers
Factoring
Review of the Methods of Factoring
Factoring the Sum or Difference of Cubes
Factoring Complicated Expressions
Using Synthetic Division to Factor
Solving by Factoring
Rational Roots Theorem
Using Synthetic Division to Solve an Equation
Exponents
Introduction to Exponents - Rules of Exponents
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Simplifying Expressions with Exponents
Quadratic Equations and Inequalities
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
Parabolas
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
Dilations of Parabolas or Quadratic Graphs
Focus and Directrix of a Parabola
Quadratic Inequality
Graphing a Quadratic Inequality
Solving a Quadratic Inequality using a Sign Chart
Linear Inequalities
Solving Linear Inequalities
Set Operation: Union
Set Operation: Intersection
Solving a Three-part Linear Inequality or Compound Inequality
Applied Linear Inequalities
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
Polynomials
Polynomials Basics
Introduction to Polynomials
Polynomial Function
Polynomial Graphs
Basic Polynomial Graphs
Basic Transformations
Multiplying and Dividing Polynomials
Multiplying Polynomials
Multiplying Complicated Polynomials
Dividing Polynomials using Long Division
Synthetic Division
Dividing Polynomials using Synthetic Division
Using Synthetic Division to Evaluate Polynomials
Binomial Theorem
Pascal's Triangle
Binomial Theorem
Functions and Variation
Introduction to Functions
Domain and Range
Function Notation
Composition of Functions
Direct Variation
Indirect Variation
Joint and Combined Variation
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
Inverse, Exponential and Logarithmic Functions
Functions and 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 and Logarithmic Functions
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
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
Solving Exponential and Logarithmic Functions
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
Applications of Exponential and Log Functions
Compound Interest (Finite Number of Calculations)
Compound Interest (Continuously)
Exponential Growth and Decay
Roots and Radicals
Radicals
Introduction to Radicals
Radicals and Absolute Values
Rational Exponents
Rational Exponents
Evaluating Rational Exponents
Rational Exponents with Negative Coefficients
Rules for Rational Exponents
Radical Expressions and Equations
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
Complex Numbers
Introduction to Imaginary Numbers
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Powers of i
Matrices
Introduction to Matrices
Matrix Operations
Matrix Multiplication
Augmented Matrices
Conic Sections
Introduction to Conic Sections
The Parabola
The Circle
The Ellipse
The Hyperbola
Transformations of a Hyperbola
Conic Section Formulas and Equations
Sequences and Series
Sequence and Series
Introduction to Sequences
Series and Summation Notation
Arithmetic Sequences and Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences and Series
Geometric Sequences
Geometric Series
Recursion Sequences
Recursion Sequences
Mathematical Induction
Additional Topics
Step Functions
Piecewise Functions
Using the Calculator
Common Algebra Mistakes
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Videos, solutions, worksheets, and activities to help Algebra students
Common Core Math Algebra
Need help in Algebra II or Intermediate Algebra?
We have a series of free, online Intermediate Algebra Lessons or Algebra II lessons.
The Real Numbers
Introduction to Real Numbers
Analyzing Data
Properties of Real Numbers
Graphs of Linear Equations
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: Investment Problem
Applied Linear Equations: Tax Problem
Applied Linear Equations: Distance Problem
Applied Linear Equations: Collection or Coin Problem
Applied Linear Equations: Consecutive Numbers
Factoring
Review of the Methods of Factoring
Factoring the Sum or Difference of Cubes
Factoring Complicated Expressions
Using Synthetic Division to Factor
Solving by Factoring
Rational Roots Theorem
Using Synthetic Division to Solve an Equation
Introduction to Exponents - Rules of Exponents
Multiplication and Division Properties of Exponents
Zero and Negative Exponents
Scientific Notation
Simplifying Expressions with Exponents
Quadratic Equations and Inequalities
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
Parabolas
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
Dilations of Parabolas or Quadratic Graphs
Focus and Directrix of a Parabola
Quadratic Inequality
Graphing a Quadratic Inequality
Solving a Quadratic Inequality using a Sign Chart
Linear Inequalities
Solving Linear Inequalities
Set Operation: Union
Set Operation: Intersection
Solving a Three-part Linear Inequality or Compound Inequality
Applied Linear Inequalities
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
Polynomials
Polynomials Basics
Introduction to Polynomials
Polynomial Function
Polynomial Graphs
Basic Polynomial Graphs
Basic Transformations
Multiplying and Dividing Polynomials
Multiplying Polynomials
Multiplying Complicated Polynomials
Dividing Polynomials using Long Division
Synthetic Division
Dividing Polynomials using Synthetic Division
Using Synthetic Division to Evaluate Polynomials
Binomial Theorem
Pascal's Triangle
Binomial Theorem
Functions and Variation
Introduction to Functions
Domain and Range
Function Notation
Composition of Functions
Direct Variation
Indirect Variation
Joint and Combined Variation
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
Inverse, Exponential and Logarithmic Functions
Functions and 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 and Logarithmic Functions
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
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
Solving Exponential and Logarithmic Functions
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
Applications of Exponential and Log Functions
Compound Interest (Finite Number of Calculations)
Compound Interest (Continuously)
Exponential Growth and Decay
Roots and Radicals
Radicals
Introduction to Radicals
Radicals and Absolute Values
Rational Exponents
Rational Exponents
Evaluating Rational Exponents
Rational Exponents with Negative Coefficients
Rules for Rational Exponents
Radical Expressions and Equations
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
Complex Numbers
Introduction to Imaginary Numbers
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Powers of i
Matrices
Introduction to Matrices
Matrix Operations
Matrix Multiplication
Augmented Matrices
Conic Sections
Introduction to Conic Sections
The Parabola
The Circle
The Ellipse
The Hyperbola
Transformations of a Hyperbola
Conic Section Formulas and Equations
Sequences and Series
Sequence and Series
Introduction to Sequences
Series and Summation Notation
Arithmetic Sequences and Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences and Series
Geometric Sequences
Geometric Series
Recursion Sequences
Recursion Sequences
Mathematical Induction
Additional Topics
Step Functions
Piecewise Functions
Using the Calculator
Common Algebra Mistakes
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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