# 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

**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)