What is Algebra?

Algebra is the branch of mathematics where we use letters (called variables) to represent numbers. This might sound simple, but it's incredibly powerful.

Why Use Letters for Numbers?

Imagine you want to describe a rule that works for any number. Instead of writing:

• "2 times 1 plus 3 equals 5"
• "2 times 2 plus 3 equals 7"
• "2 times 3 plus 3 equals 9"

You can write ONE expression:

$2x + 3$

This works for ANY value of $x$!

Real-World Example

A movie theater charges $12 per ticket plus a$3 booking fee.

Without algebra: "For 1 ticket, it's $15. For 2 tickets, it's$27. For 3 tickets..."

With algebra: The total cost is $12t + 3$ where $t$ is the number of tickets.

Now you can calculate the cost for ANY number of tickets instantly!

Key Concepts You'll Learn

1. Variables - Letters that represent unknown numbers
2. Expressions - Combinations of numbers, variables, and operations
3. Equations - Statements that two expressions are equal
4. Solving - Finding the value of unknown variables

Why Algebra Matters

Algebra is the foundation for:

• 📊 Science - Physics equations, chemistry formulas
• 💻 Programming - Every line of code uses algebraic thinking
• 💰 Finance - Interest calculations, budgeting
• 🏗️ Engineering - Design and construction

Let's begin your algebra journey!