# Algebra

Sets (7 videos)

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

Sets (New!)
Part 1: Introduction to Sets
Part 2: Roster Method and Set Builder Notation
Part 3: The Cardinality of Sets
Part 4: Summary 1: Sets, Notation, Cardinality
Part 5: The Universal Set
Part 6: Representing Sets with Venn Diagrams
Part 7: Subsets and Proper Subsets
Part 8: Equal and Equivalent Sets
Part 9: One-to-One Correspondence
Part 10: Union of Sets
Part 11: Intersection of Sets
Part 12: Union and Intersection of Sets (Practice Exercise)
Part 13: Difference Between Sets
Part 14: Complement of a Set

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

Algebraic Expressions

Polynomial Expressions

Rational 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

How to Solve Equations (New!)

Systems of Linear Equations

Arithmetic Sequence

Geometric Sequence

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

Direct Square Variation

Inverse Variation

Joint Variation

Combined Variation

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

Factoring

Lesson 1: Basic Concepts of Factoring
Lesson 2: Factoring Polynomials with Common Monomial Factor
Lesson 3: Factoring Polynomials by Grouping Part 1
Lesson 4: Factoring Polynomials by Grouping Part 2
Lesson 5: Factoring Perfect Square Trinomials
Lesson 6: Factoring General Trinomials Part 1
Lesson 7: Factoring General Trinomials Part 2
Lesson 8: Factoring General Trinomials Part 3
Lesson 9: Factoring Difference of Two Squares
Lesson 10: Factoring Sum and Difference of Two Cubes
Lesson 11: Factoring Polynomials with More than 2 Factors