He will pass his test tomorrow, provided that he studies today.
[ If ( he studies today ) then (he will pass his test tomorrow) ]
She will pass her test today, provided that she studied yesterday.
[ If (she studied yesterday) then ( she will pass her test today ) ]
We will go to the beach, provided that it stops raining.
[ If ( it stops raining) then ( we will go to the beach ) ]
I will buy my son a new car, provided that he agrees to not get a tattoo.
Provided that there are sufficient funds in the bank, your check will clear.
(If you have enough money in the bank, the check you wrote will work)