To determine how many terms are in the expression 2n + 5 + 3p + 4n, we first need to identify what a term is in an algebraic expression. A term is typically a single mathematical expression that can be a number, a variable, or a combination of both, multiplied together. In this case, we should break down the expression:
- 2n: This is a term involving the variable n.
- 5: This is a constant term.
- 3p: This is a term involving the variable p.
- 4n: This is another term involving the variable n.
While 2n and 4n both contain the variable n, they are considered separate terms unless they are combined. Therefore, if we count each distinct part of the expression, we get:
1. 2n
2. 5
3. 3p
4. 4n
This means that there are a total of four terms in the expression 2n + 5 + 3p + 4n.