Question

Which of the following expressions are equivalent to 3(4h + 2k) ?

A 3(4k + 2h)
B 2(6h + 3k)
C 3(2k + 4h)
D 12h + 6k

Answer 1

D. 12 H +6k

here’s why

3(4h+2k)
*distribute the 3 to both the 4 and the 2 so
3(4) = 12 so 12 H
3(2) = 6 so 6 K

Answer 2

B, C, and D are all equivalent to 3(4h+2k)

Explanation:

We use the distributive property to say 3(4h+2k)=12h+6k

"A" distributes to 12k+6h

"B" distributes to 12h+6k

"C" distributes to 6k+12h (associative property works)

"D" is already distributed to 12h+6k

So A is wrong, and B, C, and D are right

Hope this made sense!