Advanced Topics
In a nutshell: Learn how to work with variables and solve equations to find unknown values.
## What Are Variables?
Variables are symbols (like \( x \) or \( y \)) that represent unknown values. Algebraic expressions combine variables and numbers using operations.
## Simplifying and Solving
- **Simplify:** Combine like terms and use properties of numbers.
- **Solve:** Find the value of the variable that makes the equation true.
## Equation Example
You might see something like \( 2x + 3 = 11 \). To solve, subtract 3 from both sides and then divide by 2.
## Why Algebra Matters
Algebra is like a puzzle that helps you solve for unknowns—perfect for everything from science experiments to budgeting!
2x + 3 = 11
Examples
- Simplify \( 4x + 2x - 3 \).
- Solve \( x/2 = 6 \) for \( x \).
Key terms
- Variable
- A symbol for a number we don't know yet.
- Equation
- A statement that two expressions are equal.