Let's denote the number of roses Mary cut from her garden as  x . Initially, there were 6 roses in the vase. Mary cut  x  roses, so the total number of roses in the vase became  6 + x . After cutting some roses, the total number of roses in the vase became 11. Therefore, we can write the equation:
 6 + x = 11 
To find the value of  x , we need to solve this simple equation:
 x = 11 - 6 
 x = 5 
Mary cut 5 roses from her flower garden.
\boxed{5}