Question

Select all the expressions that are equivalent to 18 + 4(m − 3) + 4m.

A 2(4m + 3)
D 4(2m + 4)
B 5m + 19
E 8m + 16
C 8m + 6

Answer 1

A 2(4m + 3) Distribute 8m +6 match

C 8m + 6 This matches

Explanation:

18 + 4(m − 3) + 4m

First distribute

18+ 4m -12 +4m

Then combine like terms

8m +6

Now see which expressions match

A 2(4m + 3) Distribute 8m +6 match

D 4(2m + 4) Distribute 8m + 16 no match

B 5m + 19 This does not have 8m no match

E 8m + 16 This does not have 6 as a constant no match

C 8m + 6 This matches