Question

Which expression is equivalent to 2 + 2m + m + 6 + m?

A. 2(m+3)
B. 4(2+m)
C. 8+2m
D. 12m

Answer 1

To find an equivalent expression for 2 + 2m + m + 6 + m, one should combine like terms. This results in 4m + 8, which is the most simplified form based on the choices given.

Step-by-step explanation:

A student asked which expression is equivalent to 2 + 2m + m + 6 + m. To find the equivalent expression, we combine like terms. The terms containing the variable 'm' can be combined, and so can the constant terms.

First, we sum the 'm' terms:

• 2m + m + m = 4m

Next, we add the constant terms:

• 2 + 6 = 8

Now that we have combined like terms, the expression simplifies to:

• 4m + 8

This expression does not factor further because 4 and 8 do not add up to any of the options given. Therefore, the simplified form is already the most equivalent form we can achieve based on the answer choices presented.