What is Algebra?

Algebra is about finding the unknown and using equations to model real-world and mathematical situations. You’ll see variables, constants, and a whole lot of balancing on both sides of the equals sign.

Key Concepts

• Variables: Letters like \( x \) or \( y \) that stand for unknown numbers.
• Expressions: Combinations of numbers, variables, and operations, like \( 3x + 2 \).
• Equations: Statements that two expressions are equal, such as \( 2x + 5 = 11 \).

Solving Equations

To solve \( 2x + 5 = 11 \):

1. Subtract 5 from both sides: \( 2x = 6 \)
2. Divide by 2: \( x = 3 \)

Why it Matters

Algebra helps you make sense of patterns, model problems, and find solutions in science, business, and everyday life.

Tips

• Keep your equations balanced.
• Always perform the same operation on both sides.

Real-World Uses

From budgeting your monthly expenses to adjusting a recipe, algebra pops up more than you might think!