What is Algebra?

Algebra is the language of mathematics that uses symbols, letters, and numbers to represent relationships and solve problems. It's the foundation for all higher math, helping you find unknown values and express real-world situations mathematically.

Why Learn Algebra?

Understanding algebra helps you think logically, break down complex problems, and make predictions. It's used in everything from calculating your grades to planning your budget.

Key Concepts

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

Solving Linear Equations

To solve an equation like \( 2x + 3 = 11 \):

1. Subtract 3 from both sides: \( 2x = 8 \)
2. Divide both sides by 2: \( x = 4 \)

Real-World Connections

Algebra helps with:

• Figuring out how much money you'll have after saving weekly.
• Planning travel distances and times.
• Analyzing scores and statistics in sports.