Basic Concepts
In a nutshell: Use variables and equations to solve unknowns and make sense of everyday problems.
## Thinking with Variables
Algebra introduces variables, like \(x\) or \(y\), which stand for unknown numbers. You’ll learn how to create and solve equations using these variables.
## Expressions and Equations
- **Expression:** A combination of numbers, variables, and operations (like \(3x + 5\)).
- **Equation:** An expression set equal to another (like \(3x + 5 = 14\)).
## Solving Simple Equations
To find the value of a variable, do the same operation to both sides of the equation until the variable stands alone.
## Real-Life Connections
Algebra helps you solve mysteries, like figuring out how many packs of cards you can buy with your allowance, or how far you can travel with a certain amount of gas.
Examples
- Solving \(x + 7 = 12\) to find how many more points you need to win a game.
- Figuring out how many rides you can get at the fair if each ticket costs $3.
Key terms
- Variable
- A symbol (often a letter) that stands for an unknown value.
- Equation
- A statement that two expressions are equal.