WELCOME TO Algebra
-
Please watch this short video:
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve problems. Unlike arithmetic, which uses specific numbers, algebra uses letters (like xxx and yyy) to represent numbers that can vary or are unknown.
Here are some key concepts in algebra:
- Variables: Symbols (usually letters) that represent unknown values or numbers that can change. For example, in the equation x+3=7x + 3 = 7x+3=7, xxx is the variable.
- Expressions: Combinations of numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 2x+52x + 52x+5 is an algebraic expression.
- Equations: Mathematical statements that show two expressions are equal, often used to find the value of a variable. For example, 3x−4=113x - 4 = 113x−4=11 is an equation, and solving it would tell us what xxx equals.
- Functions: Relationships between two sets of numbers, where each input (or value of xxx) corresponds to exactly one output (or value of yyy). Functions can be represented with equations, graphs, or tables.
Algebra is foundational for many other areas of math and science, and it helps us solve problems by setting up and manipulating equations and expressions to find unknown values.