Algebra

Sets

Lesson 1: Introduction to Sets
Lesson 2: Examples of Sets
Lesson 3: Intersection of Sets
Lesson 4: Intersection of Sets Part 2
Lesson 5: Union of Sets
Lesson 6: Definition of Subset
Lesson 7: Definition of Universal Set

 

Note: Tutorials on Integers can be found in the Basic Math page.

Algebraic Expressions

Lesson 1: Introduction to Algebraic Expressions
Lesson 2: Representation with Algebraic Expressions
Lesson 3: Representing Multiplication Using Algebraic Expression
Lesson 4: Representing Exponentiation with Algebraic Expressions
Lesson 5: Representing Division with Algebraic Expressions
Lesson 6: Evaluating Algebraic Expressions
Lesson 7: Terms and Coefficients of Algebraic Expressions
Lesson 8: Addition of Algebraic Expressions Part 1
Lesson 9: Addition of Algebraic Expressions Part 2
Lesson 10: Subtraction of Algebraic Expressions
Lesson 11: Multiplication of Algebraic Expressions
Lesson 12: The Distributive Property
Lesson 13: Division of Algebraic Expressions

Linear Equations

Lesson 1 : Introduction to Equations
Lesson 2: Solutions to Equations
Lesson 3: Properties of Equality
Lesson 4: Solving Equations Part 1
Lesson 5: Solving Equations Part 2
Lesson 6: Solving Equations Part 3
Lesson 7: Solving Equations Part 4

Functions

Lesson 1: Relations and Functions
Lesson 2: Real Life Examples of Functions
Lesson 3: Definition of Functions
Lesson 4: Representing Functions with Ordered Pairs, Tables, and Equations
Lesson 5: Representing Functions with Graphs

 Linear Functions

Lesson 1: Introduction to Linear Functions
Lesson 2: Slope and Rate of Change
Lesson 3: Graphs of Linear Functions
Lesson 4: The effect of b in y = ax + b
Lesson 5: The Concept of Slope
Lesson 6: The Slope and y-intercept of Linear Functions
Lesson 7: Slope and Increasing or Decreasing Graphs
Lesson 8: Graphing Linear Functions Using Slope and y-Intercept
Lesson 9: Getting Equations of Graphs of Linear Functions
Lesson 10: Equations of Lines Given the Slope and a Point
Lesson 11: Equations of Lines Given Slope and y-intercept
Lesson 12: Equations of Lines Given Two Points Part 1
Lesson 13: Equations of Lines Given Two Points Part 2
Lesson 14: Equations of Lines Given Two Points Part 3

Quadratic Equations

Lesson 1: Introduction to Quadratic Equations
Lesson 2: Solving Quadratic Equation – Extracting the Square Root Part 1
Lesson 3: Solving Quadratic Equation – Extracting the Square Root Part 2
Lesson 4: Solving Quadratic Equations – Factoring Part 1
Lesson 5: Solving Quadratic Equations – Factoring Part 2
Lesson 6: Solving Quadratic Equations – Completing the Square Part 1
Lesson 7: Solving Quadratic Equations – Completing the Square Part 2
Lesson 8: Solving Quadratic Equations – Completing the Square Part 3
Lesson 9: Derivation of the Quadratic Formula
Lesson 10: Quadratic Equations – Quadratic Formula Part 1
Lesson 11: Quadratic Equations – Quadratic Formula Part 2
Lesson 12: Nature of the Roots of Quadratic Equations
Lesson 13: Quadratic Equations – Equal Roots
Lesson 14:Quadratic Equations -Distinct Roots
Lesson 15: Quadratic Equations – Complex Roots
Lesson 16: Getting the Quadratic Equation Given its Roots Part 1
Lesson 17: Getting the Quadratic Equation Given its Roots Part 2
Lesson 18: Quadratic Word Problems Part 1
Lesson 19: Quadratic Word Problems Part 2
Lesson 20: Quadratic Word Problems Part 3
Lesson 21: Quadratic Word Problems Part 4

Quadratic Functions

Lesson 1: Introduction to Quadratic Function
Lesson 2: Graphing Quadratic Functions
Lesson 3: Graphing the Quadratic Function y = x^2
Lesson 4: The effect of a in y = ax^2 where a is greater than 0
Lesson 5: The effect of a in y = ax^2 where a is less than 0
Lesson 6: Properties of the quadratic function y = ax^2.
Lesson 7: Identifying Quadratic Functions from Tables
Lesson 8: Understanding Roots of Quadratic Functions
Lesson 9: Solving Roots of Quadratic Functions (2 Distinct Real Roots)
Lesson 10: Solving Roots of Quadratic Functions (2 Distinct Real Roots)
Lesson 11: Solving Roots of Quadratic Functions (2 Equal Real Roots)
Lesson 12:Solving Roots of Quadratic Functions (No Real Root)
Lesson 13: Discriminant of Quadratic Functions
Lesson 14: Deriving the Vertex Form of Quadratic Functions
Lesson 15: Quadratic Functions General Form to Vertex Form Example 1
Lesson 16: Quadratic Functions General Form to Vertex Form Example 2
Lesson 17: Quadratic Functions General Form to Vertex Form Example 3
Lesson 18: Solving for the x and y intercepts of Quadratic Functions Part 1
Lesson 19: Solving for the x and y intercepts of Quadratic Functions Part 2
Lesson 20: Graph Sketching Quadratic Functions Using Vertex And Intercepts

Systems of Linear Equations

Lesson 1: Introduction to Systems of Equations
Lesson 2: Systems of Linear Equation – Substitution Part 1
Lesson 3: Systems of Linear Equations – Substitution Part 2
Lesson 4: Systems of Linear Equations – Elimination Part 1
Lesson 5: Systems of Linear Equations – Elimination Part 2
Lesson 6: Systems of Equations – Graphing

Polynomial Functions

Lesson 1: Introduction to Polynomial Functions
Lesson 2: Definition of Polynomial Functions
Lesson 3: Understanding the Name and Notation of Functions
Lesson 4: Understanding Zeroes of Polynomial Functions
Lesson 5: Finding the Zeroes of Polynomial Functions
Lesson 6: Finding the Values of a Polynomial Function
Lesson 7: Dividing Functions: Their Quotient and Remainder
Lesson 8: The Remainder Theorem
Lesson 9: Division of Polynomials Using Synthetic Division Part 1
Lesson 10: Division of Polynomials Using Synthetic Division Part 2
Lesson 11: Understanding the Factor Theorem
Lesson 12: Factor Theorem, Remainder Theorem, and Synthetic Division Part 1
Lesson 13: Factor Theorem, Remainder Theorem, and Synthetic Division Part 2
Lesson 14: Roots of Polynomial Functions
Lesson 15: Finding the Zeroes of a Polynomial Function by Factoring
Lesson 16: The Integral Zero Theorem
Lesson 17: Application of Integral Zero Theorem Part 1
Lesson 18: Application of Integral Zero Theorem Part 2
Lesson 19: Graphs of Polynomial Functions

Exponential Functions

Lesson 1: Introduction to Exponential Function
Lesson 2: Definition of Exponential Function
Lesson 3: Graphing Exponential Functions
Lesson 4: Examining Graphs of Exponential Functions Part 1
Lesson 5: Examining Graphs of Exponential Functions Part 2
Lesson 6: Exponential Functions with Reciprocal Bases

Arithmetic Sequence

Lesson 1:  Introduction to Arithmetic Sequence
Lesson 2: Derivation of the Formula for Arithmetic Sequence
Lesson 3: Arithmetic Sequence Sample Problems 1 and 2
Lesson 4: Arithmetic Sequence Sample Problem 3
Lesson 5: Arithmetic Sequence Sample Problem 4
Lesson 6: Arithmetic Sequence Sample Problem 5
Lesson 7: Arithmetic Sequence Sample Problem 6

Geometric Sequence

Lesson 1 : Introduction to Geometric Sequence
Lesson 2: Definition of Geometric Sequence
Lesson 3: Deriving the Formula for the General Term of a Geometric Sequence
Lesson 4: Geometric Sequence Sample Problem 1
Lesson 5: Geometric Sequence Sample Problem 2
Lesson 6: Geometric Sequence Sample Problem 3
Lesson 7: Geometric Sequence Sample Problem 4
Lesson 8: Geometric Sequence Sample Problem 5
Lesson 9: Geometric Sequence Sample Problem 6
Lesson 10: Geometric Sequence Sample Problem 7