Question

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

Answer 1

27+4x+8y

or

4x+8y+27 ( I can reorder this a few different ways. I don't know what your choices are)

Explanation:

11+4(x+2y+4)

We can apply distributive property to the 4(x+2y+4), this will give us 4x+8y+16.

Bring down the 11+ and we have 11+4x+8y+16.

The only like terms we have is 11 and 16. So reorder using commutative property and get 11+16+4x+8y.

I'm going to simplify the 11+16 part which gives us 27.

In the end we have 27+4x+8y.

Let me line up so it is all nice and neat:

11+4(x+2y+4)

11+4x+8y+16

11+16+4x+8y

27+4x+8y