To solve the problem, we need to determine how many roses your mom cut from the garden to reach a total of 16 roses in the vase when there were initially 8 roses.
The correct equation is: \[ 8 + x = 16 \]
Here, \( x \) represents the number of roses your mom cut from the garden.
Now, we can solve for \( x \):
- Subtract 8 from both sides: \[ x = 16 - 8 \] \[ x = 8 \]
So, your mom cut 8 roses from the garden.
The correct choice is: 8 + x = 16 and x = 8 roses from the garden.