Basic Concepts
In a nutshell: Turn real-life problems into math puzzles and solve for the unknown!
## Using Variables to Solve Problems
Algebra is all about finding unknowns! You’ll use letters (like \(x\)) to represent numbers and set up equations to solve puzzles.
### What You’ll Do
- Solve for unknowns in simple equations
- Use properties of operations (distributive, associative, commutative)
- Substitute values for variables
### Where It’s Used
Algebra helps you make predictions and solve problems, from figuring out how many movie tickets you can buy with your allowance to understanding science formulas.
Examples
- If you have $20 and movie tickets cost $5 each, solve \(5x = 20\) to find out how many friends you can invite.
- If \(x + 7 = 12\), then \(x = 5\).