Answer:
The expression that represent the number of purses in Cierra's collection is:

If Aisha had 12 purses, Cierra has 9 purses
Explanation:
Lets call C the number of purses of Cierra and A the number of purses of Aisha.
Now, We can separate the sentence in the question and write a equation as:
Cierra - has - 3 - more than - one half - as - many purses as Aisha
C = 3 + ( 1/2) * A
So, the expression that represent the number of purses in Cierra's collection is:

Then, if Aisha had 12 purses, we can replace the A by 12 in the equation and calculate C as:

C=3+6
C=9
So, If Aisha had 12 purses, Cierra has 9 purses