Question

Four expressions are shown below:

2(4x + 2)
2(3x + 3)
6x + 6
8x + 4

Which two expressions are equivalent to 2(3x + 2 + x)?
A and D
B and D
A and C
C and B

Answer 1

If we expand out 2(3x + 2 + x), we get 6x + 4 + 2x
Add the like terms, 6x and 2x and we get 8x + 4
There's another option that is the same though,
we clearly see it's not C, so let's expand out A and B to see which one is the same.
A becomes 8x + 4, which is the same, and B becomes 6x + 6, which is not equivalent.