Answer:
Expressions A, C, D are equivalent
Step-by-step explanation:
Equivalent expressions:
Two expressions are equivalent if they give the same result. So
Option A:
3(2 + 4x) =3*2 + 3*4x = 6 + 12x
So equivalent
Option B:
3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent
Option C:
5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.
Equal, so equivalent
Option D:
7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x
Equal, so equivalent.
Option E:
7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x
Different, so not equivalent.
