Question

consider the following expression.
7b + 8a + 3 + 5a
select all of the true statements below.
□ 3 is a constant.
□ 7b is a coefficient.
□ 7b is a term.
□ 8a and 5a are like terms.
□ 7b is a factor.
□ none of these are true.

Explanation:

Step1: Define constant

A constant is a fixed number with no variable.
3 has no variable, so it is a constant.

Step2: Define coefficient

A coefficient is a number multiplying a variable.
$7b$ is a term, not a coefficient (7 is the coefficient here).

Step3: Define term

A term is a single part of an expression, separated by +/-.
$7b$ is separated by +, so it is a term.

Step4: Define like terms

Like terms have the same variable raised to the same power.
$8a$ and $5a$ both have variable $a$, so they are like terms.

Step5: Define factor

A factor is a number/variable that divides into a term.
$7b$ is a full term, not a factor of the expression.

Answer:

A. 3 is a constant.
C. 7b is a term.
D. 8a and 5a are like terms.