Parts of an Algebraic Expression
An algebraic expression is like a mathematical sentence made up of numbers, letters, and operation signs. Just like a sentence has parts (subject, verb, object), an algebraic expression has its own special parts!
Example Expression: 3x + 5y − 7
Let's learn to identify every part of expressions like this one!
Let's learn to identify every part of expressions like this one!
1 Term (член/слагаемое)
Definition: A term is a part of an expression separated by + or − signs.
In the expression: 3x + 5y − 7
The three terms are:
- 3x — first term
- 5y — second term
- −7 — third term (note: the minus sign belongs to it!)
Important: The sign in front of a term belongs to that term!
Visual: Identifying Terms
2 Coefficient (коэффициент)
Definition: The coefficient is the numerical factor (number) that multiplies the variable.
| Term | Coefficient | Explanation |
|---|---|---|
| 5x | 5 | The number in front |
| −3ab | −3 | Include the negative sign! |
| x | 1 | Invisible 1 (x = 1·x) |
| −y | −1 | Invisible −1 (−y = −1·y) |