Question

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

Choose all answers that apply:
A 3(2k + 4h)
B
3(4h + 2h)
None of the above

Answer 1

A

Explanation:

If we distribute the 3 to the equation in the parenthesis, we end up with this

12h + 6k

Now, let's do the same thing for the other two equations

3(2k + 4h) = 6k + 12h

You can rearrange this equation to look like 12h+ 6k, making it the exact same as 3(4h + 2k).

So A is equivalent

How about B?

3(4h + 2h) = 12h + 6h = 18h

18h does not equal 12h + 6k, so B is not equivalent