# Algebra 2

## Algebraic Expression

Evaluating Algebraic Expressions

Simplifying Algebraic Expressions Combining Like Terms

Writing Algebraic Expressions from Word Problems

## Solving and Graphing Equations and Inequalities

Solving 1 Variable Inequalities & Compound Inequalities

Absolute Value Equations & Inequalities

Graphing Absolute Value Functions w/o a Calculator 6 Examples

Graphing Absolute Value Functions as Piecewise Functions 3 Examples

Solving Equations with 2 Absolute Value Functions or More

## Direct, Inverse, Joint, and Combined Variation

## Linear Functions, Parallel and Perpendicular Lines

Rate of Change Slope & Point Slope Equation of Lines

Graphing Lines in Slope-Intercept form y=mx+b

Graphing lines using X & Y Intercepts

Equations of Lines and Graphing

Equations of parallel and perpendicular lines

Solving Linear Systems with Substitution and Linear Combination

Given a Tangent Line & Circle Find the Point of Tangency

Distance Between Point and Line

Graphing 1 Variable Inequalities

## Graphing Linear and Non-Linear Inequalities

Graphing System of Inequalities

Graphing Non-Linear Inequalities

## 3 Variable System of Equations

Solving 3 Variable Linear Systems Gaussian Elimination

Cramer's Rule Solving Systems of Equations

## Operations with Polynomials

Determining Domain of Functions

Properties of Exponents Multiplication & Power

Multiplying Polynomials Distributive Property

Properties of Exponents Simplifying Quotients Negative Exponents

Negative Exponents and Power of Zero

## Factoring Techniques

Factoring Monomials from a Polynomial

Factoring Polynomials Difference of Squares

Factoring Polynomials Sum Difference of Cubes

Factoring Quadratic Trinomial x^2+bx+c Polynomial

Factoring Quadratic Trinomial ax^2+bx+c

## More Operations with Polynomials

Cooperative Work Word Problems (Time to Finish)

## Binomial Theorem

Binomial Theorem Introduction to Raise Binomials to High Powers

Binomial Theorem Introduction (New) 3 More Examples

Binomial Theorem & Transformation of Functions

## Quadratic Equations & Graphing Parabolas

Graphing Parabolas w/ vertex & intercepts

Parabola Applications Maximizing Minimizing Reflectors, etc

## Radicals and Rational Exponents

Simplifying Numerical Square Roots

Simplifying Numerical Square Roots 8 Examples (New)

Simplifying Square Roots (Radicals) with Variables

Simplifying Square Roots Involving Variables (New)

Rational Exponents & Simplifying Radicals

Simplifying Rational Exponents Fractional Exponents (6 Examples) NEW

Multiplying & Dividing Radicals Properties of Roots

Rationalizing Square Roots from Monomial Denominator

Rationalizing Square Roots from Binomial Denominator

Combining Square Root Functions & Domain 4 Examples

Solving Equations with Radicals

Solving Equations Rational Exponents

## Pythagorean Theorem, Quadratic Equation, Rationalizing Denominators

Pythagorean Theorem Algebraic Examples

Converse Pythagorean Theorem & Triples

Rationalizing Square Roots from Monomial Denominator

Rationalizing Square Roots from Binomial Denominator

Completing the Square to Solve Quadratic Equations

Quadratic Formula to Solve Quadratic Equations

## Introduction to Complex Numbers

Complex (imaginary) Numbers Part 1

Complex (imaginary) Numbers Part 2

Powers of Imaginary Numbers Higher Powers of i (4 Examples)

Solving Equations with Complex Numbers 4 Examples

## Solving Non-Linear Systems Substitution and Elimination Method

2 Variable Non Linear Systems Substitution Method

2 Variable Non Linear Systems Addition/Elimination Method

## Long Division & Synthetic Division of Polynominals

Synthetic Division & Remainder Theorem

## Solving and Graphing Higher Order Polynomials

Finding polynomials using the Linear Factorization Theorem

Even and Odd Functions Many Examples

Solving Higher Order Polynomials Part 1

Solving Higher Order Polynomials Part 2

## Solving Polynomial & Rational Inequalities

Solving Polynomial Inequalities

Solving Polynomial Inequalities a Graphical Approach

## Combining Functions and Composition of Functions

Combining Functions & Function Operations

## Logarithms

Graphing Exponential Functions

Graphing Logarithms without a Calculator 3 Examples

Using Properties of Logarithms to Expand Logs

Using Properties of Logarithms to Condense Logs

Change of Base Formula Logarithms

Solving Equations with Logarithms Pt 1

Solving Equations with Logarithms Pt 2

Solving Equations with Logarithms Pt 3

Solving Natural Exponential Functions with Natural Logarithms

Logarithm Equations with Different Bases

System of Equations Involving Logarithms of Different Bases

## Rational Functions

Finding vertical asymptotes and holes of rational equations

Horizontal Asymptotes of rational equations

Graphing Rational Functions Part 1

Graphing Rational Functions Part 2

Graphing Rational Functions with Slant Asymptotes

Rational Algebraic Expressions Simplified

Sum and Difference of Rational Expression

Product & Quotient of Rational Expressions

## Sequences

Arithmetic Sequence Introduction

Partial Sum Arithmetic Sequence

Geometric Means in a Geometric Sequence

Partial Sum Geometric Sequences

Converting Repeating Decimal to a Fraction

## Conic Sections

Graphing Parabolas in Standard Form

Applications of Parabolas in Standard Form

Finding Equations of Conics from Given Conditions