What Is Algebra?

Algebra is the language of mathematics that uses symbols and letters to represent numbers. It's about finding unknown values and understanding relationships between quantities.

Variables and Expressions

• Variable: A symbol (like \( x \) or \( y \)) that stands for a number.
• Expression: A combination of numbers, variables, and operations.

Solving Equations

Equations have an equal sign and show that two expressions are the same. To solve an equation, isolate the variable.

Example Equation

\( 2x + 3 = 11 \)
Subtract 3 from both sides: \( 2x = 8 \)
Divide by 2: \( x = 4 \)

Patterns and Relationships

Algebra helps you describe patterns, such as sequences, and solve real-world problems, like figuring out how many hours you need to work to reach a savings goal.

Real-Life Applications

Algebra is used in making plans, predicting outcomes, and solving puzzles.