# Algebra 1

Study Guides

## What is Algebra 1?

**Unit 1: Foundations of Algebra**

- Variables and Expressions
- Order of Operations
- Properties of numbers
- Evaluating Algebraic Expressions
- Simplifying Algebraic Expressions

**Unit 2: Solving Equations**

- Solving One-Step Equations
- Solving Multi-Step Equations
- Solving Equations With Variables on Both Sides
- Writing Equations

**Unit 3: Linear Functions**

- Rate of Change and Slope
- Identify Linear Functions
- Graph by Making a Table
- Verify Solutions of Linear Functions

**Unit 4: Equations of Linear Functions**

- Graphing by X- and Y-intercepts
- Graphing vertical and horizontal lines
- Slope-Intercept Form
- Point-Slope Form
- Standard Form
- Writing Linear Equations

**Unit 5: Linear Inequalities**

- One Step Inequalities
- Multi-step Inequalities
- Compound Inequalities
- Graphing Linear Inequalities

**Unit 6: Systems of Equations**

- Systems of Equations by Graphing
- Systems of Equations by Substitution
- Systems of Equations by Elimination (Addition and Subtraction)
- Systems of Equations by Elimination (Multiplication)
- Systems of Linear Inequalities

Unit 7: Operations with Polynomials

- Introduction to Polynomials
- Add and Subtract Polynomials
- Multiply Polynomials
- Factor Polynomials
- Factor Polynomials with Special Cases