Answer:
7) B), C) and E)
8) Not equivalent
Explanation:
#7
Let's simplify the expression -4(-25y + 4 + 50y - 8) and then compare it to the given options:
-4(-25y + 4 + 50y - 8)
Simplify like terms:
-4( 25y - 4)
Distribute -4.
-100y + 16
let's see the options:
A) - 100y - 4 not equivalent
B) -2(23y - 5 + 27y - 3)
= -2(50y - 8)
= -100y + 16 equivalent
C) (100y + 32) - (200y + 16)
= 100y + 32 - 200y - 16
= 100y - 200y + 32 - 16
= -100y + 16 equivalent
D) -16 - 100y not equivalent
E) -(-100y + 16 + 200y - 32)
= -(-100y + 200y + 16 - 32)
= -(100y -16)
= -100y + 16 equivalent
F) - 300y - 48 not equivalent
So, the correct equivalent answer are:
- B) -2(23y - 5 + 27y - 3)
- C) (100y + 32) - (200y + 16)
- E) -(-100y + 16 + 200y - 32)
#8
We can simplify the expressions as follows:
2(3x-6) = 6x - 12
2(3x) - 6 = 6x - 6
As we can see, the two expressions are different by a constant term of -6.
Therefore, they are not equivalent.