# Algebra 1 Lessons

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

## Introduction to Algebra

- Adding and Subtracting Sign Numbers
- Multiplying and Dividing Sign Numbers
- Evaluating Algebraic Expressions
- Order of Operations
- The Coordinate Plane

## Operations in Algebra

- Absolute Value
- Commutative, Associative and Distributive Properties, Identities and Inverses
- Simplifying Expressions (Adding and Subtracting)
- Simplifying Expressions (Multiplying and Dividing)

## Solving Equations

- Solving One-Step Equations Using Addition and Subtraction
- Solving One-Step Equations Using Multiplication and Division
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations Using the Distributive Property
- Solving Equations With More Than One Variable (Literal Equations)

## Proportions, Percents, Probability and Measures of Central Tendency

- Solving Proportions
- Percents
- Percent Word Problems
- Experimental Probability
- Measures of Central Tendency - Mean, Median, Mode and Range

## Linear Functions

- Domain, Range and Linear Functions
- Slope
- Direct Variation
- Slope-Intercept Form of a Line
- Standard and Point-Slope Form of a Line
- Parallel and Perpendicular Lines

## Inequalities and Absolute Value

- Solving Inequalities
- Solving Compound Inequalities
- Absolute Value Functions
- Absolute Value Equations
- Absolute Value Inequalities

## Systems of Equations and Inequalities

- Solving Systems of Equations Graphically
- Solving Systems of Equations by Addition/Elimination
- Solving Systems of Equations by Substitution
- Solving Systems of Inequalities
- Solving Systems of Equations - Word Problems

## Exponents

- Multiplying Exponents
- Exponents - Power Rule
- Dividing Exponents
- Negative and Zero Exponents
- Scientific Notation
- Exponential Functions
- Applications of Exponential Functions

## Polynomials and Factoring

- Adding and Subtracting Polynomials
- Multiplying Binomials - FOIL Method
- Factoring - Greatest Common Factor
- Factoring - Factor By Grouping
- Factoring - Difference of Two Squares
- Factoring - Perfect Square Trinomials
- Factoring - Quadratic Trinomials
- Solving Equations by Factoring

## Quadratic Functions

- Graphing Parabolas
- Solving Equations Using the Square Root Method
- Solving Equations by Completing the Square
- Solving Equations by the Quadratic Formula
- Graphing Quadratic Inequalities

## Rational Functions

- Domain of Rational Functions
- Simplifying Rational Expressions
- Adding and Subtracting Rational Expressions
- Multiplying and Dividing Rational Expressions
- Solving Rational Equations

## Radicals

- Simplifying Radical Expressions
- Adding and Subtracting Radical Expressions
- Multiplying and Dividing Radical Expressions
- Solving Radical Equations
- The Pythagorean Theorem
- The Distance Formula
- The Midpoint Formula
- The Equation of a Circle
- Sine, Cosine and Tangent

## Probability

- Theoretical Probability
- Probability With "And" and "Or"
- The Counting Principle
- Multiplying Probabilities

## Number Theory

## Set Theory

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