Question

Are the two expressions equivalent?

Expression A: 11z+9z
Expression B: (11+9)z
A.
No, because for z = 5, the value of Expression A is 100 and the value of Expression B is 64.
B.
No, because for z = 5, the value of Expression A is 64 and the value of Expression B is 100.
C.
Yes, because for z = 5, the value of Expression A is 100 and the value of Expression B is 100.
D.
Yes, because for z = 5, the value of Expression A is 64 and the value of Expression B is 64.

Answer 1

C

Explanation:

11z+9z (11+9)z

20z (20)z

(11•5)+(9•5) (11+9)5

55+45 (20)5

100 100