Algebra 2 Lessons

Click on a lesson below to view the examples that will be shown:

Review of Algebra 1

• Exponents
• Polynomials - Adding, Subtracting and Multiplying
• Factoring
• Simplifying Rational Expressions
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational Expressions
• Complex Fractions
• Radical Expressions (Simplifying, Adding, Subtracting, Multiplying, Dividing and Rationalizing the Denominator)
• Fractional Exponents

Equations and Inequalities

• Solving Linear and Fractional Equations
• Solving Quadratic Equations by Factoring
• Solving Quadratic Equations by the Square Root Method
• Solving Quadratic Equations by Completing the Square
• Solving Quadratic Equations by the Quadratic Formula
• The Discriminant
• Complex Numbers
• Solving Polynomial Equations
• Solving Radical Equations
• Solving Absolute Value Equations
• Solving Linear and Absolute Value Inequalities
• Solving Quadratic and Rational Inequalities
• Solving Rational Equations
• Solving Equations With Rational Exponents
• Word Problems - Rational Equations

Functions

• Linear Equations in Two Variables
• Graphing Functions (Domain, Range, Even, Odd and Piecewise-Defined Functions)
• Evaluating Functions, Finding the Domain and Difference Quotient
• Graphs of Polynomial Functions
• Shifting, Stretching and Reflecting Graphs
• Sum, Difference, Product, Quotient and Composition of Functions
• Inverse Functions

Polynomial Functions

• Quadratic Functions
• Polynomials of Higher Degree
• Long Division and Synthetic Division
• Zeros of Polynomial Functions
• Direct, Inverse and Joint Variation

Rational Functions and Conic Sections

• Graphs of Rational Functions
• Partial Fraction Decomposition
• Conic Sections - Circles
• Conic Sections - Parabolas
• Conic Sections - Ellipses
• Conic Sections - Hyperbolas and Classifying Conic Sections

Exponential and Logarithmic Functions

• Graphs of Exponential Functions
• Graphs of Logarithmic Functions
• Properties of Logarithms - Part 1
• Properties of Logarithms - Part 2
• The Natural Logarithmic Function
• Solving Exponential and Logarithmic Equations
• Compound Interest and Radioactive Decay

Sequences, Series and Probability

• Sequences
• Arithmetic Series
• Geometric Series
• The Binomial Theorem
• The Fundamental Counting Principle, Permutations and Combinations
• Probability

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