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

Rational Expressions

Lesson 1: Introduction to Rational Expression
Lesson 2: Evaluating Rational Expression
Lesson 3: Ruling Out Values of the Variable
Lesson 4: Domain and Range of Rational Functions
Lesson 5: Reducing Rational Expressions to Lowest Terms Part 1
Lesson 6: Reducing Rational Expressions to Lowest Terms Part 2
Lesson 7: Reducing Rational Expressions to Lowest Terms Part 3
Lesson 8: Simplifying Expression Containing m – n and n – m
Lesson 9: Multiplication of Rational Numbers
Lesson 10: Multiplication of Rational Expressions Part 1
Lesson 11: Multiplication of Rational Expressions Part 2
Lesson 12: Multiplication of Rational Expressions Part 3 (Cancellation)
Lesson 13: Multiplication of Rational Expressions Part 4 (Cancellation)
Lesson 14: Division of Rational Numbers
Lesson 15: Division of Rational Expressions Part 1
Lesson 16: Division of Rational Expressions Part 2
Lesson 17: Division of Rational Expressions Part 3
Lesson 18: Equivalent Fractions and Equivalent Rational Expressions
Lesson 19: How to Get the LCD of Rational Expressions
Lesson 20: Addition and Subtraction of Rational Expressions Part 1 (Same Denominator)
Lesson 21: Addition and Subtraction of Rational Expressions Part 2 (Same Denominator)
Lesson 22: Addition and Subtraction of Rational Expressions Part 1 (Different Denominators)
Lesson 23: Addition and Subtraction of Rational Expressions Part 2 (Different Denominator)
Lesson 24: Addition and Subtraction of Rational Expressions Part 3 (Different Denominator)
Lesson 25: Addition and Subtraction of Rational Expressions Part 4 (Different Denominator)
Lesson 26: Addition and Subtraction of Rational Expressions Part 5 (Different Denominator)
Lesson 27: Addition and Subtraction of Rational Expressions Part 6 (Different Denominator)

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

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

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

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

Ratio and Proportion

Lesson 1: Ratio and Proportion: Definition and Representation of Ratio
Lesson 2: Ratio Sample Problem 1
Lesson 3: Ratio Sample Problem 2
Lesson 4: Ratio Sample Problem 3
Lesson 5: Understanding the Meaning of Proportion
Lesson 6: Proportion and Equivalent Fractions
Lesson 7: Ratio and Proportion Sample Problem 1
Lesson 8: Ratio and Proportion Sample Problem 2
Lesson 9: Ratio and Proportion Sample Problem 3
Lesson 10: Ratio and Proportion Sample Problem 4

Direct and Inverse Proportion

Lesson 1: Introduction to Direct Proportion
Lesson 2: Direct Proportion Sample Problem 1
Lesson 3: Direct Proportion Sample Problem 2
Lesson 4: Direct Proportion Sample Problem 3
Lesson 5: Constant of Proportionality Part 1
Lesson 6: Constant of Proportionality Part 2
Lesson 7: Introduction to Inverse Proportion
Lesson 8: Inverse Proportion Sample Problem 1
Lesson 9: Inverse Proportion Sample Problem 2
Lesson 10: Constant of Proportionality Part 3
Lesson 11: Direct and Inverse Proportion (Summary)

Direct Linear Variation

Lesson 1: Introduction to Direct Linear Variation
Lesson 2: Direct Linear Variation Sample Problems Part 1
Lesson 3: Direct Linear Variation Sample Problems Part 2
Lesson 4: Direct Linear Variation Sample Problems Part 3
Lesson 5: Direct Linear Variation Sample Problems Part 4
Lesson 6: Links among Direct Variation, Direct Proportion, and Linear Function

Direct Square Variation

Lesson 1: Introduction to Direct Square Variation
Lesson 2: Direct Square Variation Sample Problem Part 1
Lesson 3: Direct Square Variation Sample Problem Part 2
Lesson 4: Direct Square Variation Sample Problem Part 3
Lesson 5: Graphs of Direct Square Variation

Inverse Variation

Lesson 1: Introduction to Inverse Variation
Lesson 2: Inverse Variation Sample Problems Part 1
Lesson 3: Inverse Variation Sample Problems Part 2
Lesson 4: Inverse Variation Sample Problems Part 3

Joint Variation

Lesson 1: Introduction to Joint Variation Part 1
Lesson 2: Introduction to Joint Variation Part 2
Lesson 3: Joint Variation Sample Problem Part 1
Lesson 4: Joint Variation Sample Problem Part 2

Combined Variation

Lesson 1: Introduction to Combined Variation
Lesson 2: Combined Variation Tutorial Part 2
Lesson 3: Combined Variation Tutorial Part 3