Question

Aisha, Silvio, and Jim, each solved the same equation. Aisha's answer was
x
=
4
, Silvio's answer was
x
=
8
, and Jim's answer was
x
=
16
. If either Aisha or Jim, but not Silvio, is correct, which of these equations could it be? Select three that apply.
A.
x
2
=
4

B.
x
2
=
16

C.
x
2
=
64

D.
x
2
=
256

E.
x
3
=
8

F.
x
3
=
64

Answer 1

B, D, F

Reason:
- B: x^2 = 16 → x = ±4, so Aisha (4) is correct; Silvio (8) and Jim (16) are not.
- D: x^2 = 256 → x = ±16, so Jim (16) is correct; Silvio (8) and Aisha (4) are not.
- F: x^3 = 64 → x = 4, so Aisha (4) is correct; Silvio (8) and Jim (16) are not.