1. The test is finally over.

2. The test is really over.
3. The test is quietly over.
4. The test is easily over.

5. The baby is sleeping quietly.
6. The baby is sleeping really.
7. The baby is sleeping easily.
8. The baby is sleeping finally.
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Are they all grammatical? Which ones are unacceptable?

The first four are. 5, 7, & 8 are.

#6 doesn't work. It would if you said, "The baby is really asleep."
5, 7, & 8 would be better if you put the adverb before "sleeping" too.