Algebra

Algebra

Definition: Algebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities in equations and formulas.

Key Concepts:

• Variables: Symbols (usually letters) that represent unknown or changing values.
• Expressions: Combinations of variables, numbers, and operations (e.g., 3x + 5).
• Equations: Statements that two expressions are equal (e.g., 2x + 3 = 7).
• Formulas: Equations that define relationships between different quantities.

Basic Operations in Algebra:

• Addition, subtraction, multiplication, and division of algebraic expressions.
• Solving linear equations and inequalities.
• Factoring and expanding algebraic expressions.
• Working with exponents and powers.

Applications: Algebra is fundamental in solving problems across science, engineering, economics, and everyday life.