Question

consider the following expression.
4b + 7a + 2
select all of the true statements below.
□ 4b + 7a + 2 is written as a sum of three terms.
□ 4b is a coefficient.
□ 4b and 2 are like terms.
□ 2 is a constant.
□ 4b is a factor.
□ none of these are true.

Explanation:

1. A term is a single part of an expression separated by + or -, so $4b+7a+2$ has three terms: $4b$, $7a$, $2$.
2. A coefficient is a number multiplying a variable; $4b$ is a term, not a coefficient (4 is the coefficient here).
3. Like terms have the same variables raised to the same powers; $4b$ has variable $b$, 2 has no variable, so they are not like terms.
4. A constant is a term with no variable, so 2 is a constant.
5. A factor is a number/variable multiplied to form a product; $4b$ is an addend in this sum, not a factor.

Answer:

• 4b + 7a + 2 is written as a sum of three terms.
• 2 is a constant.