Separable Prefix Verbs – Conjugation

What’s special about separable prefix verbs (besides that the’re confusing)?

We’ve learned that the prefix is separated from the verb when we actually use it. But what happens with it?

Does the prefix have an influence on how to conjugate the base verb?

And now for some practice:

aufmachen means to open.
What’s the proper translation for:

“I open my beer.”

einschlafen means to fall asleep.
What’s the proper translation for the following:

“Maria falls asleep at the cinema.”

ausgeben means to spend.
What’s the proper translation for:

“Thomas always spends a lot of money for beer on the weekends.”