Hi CynRod ,
Are you saying that you want to send out the survey to all of the students in a single distribution? Yes, if you create a single email list that contains each teacher's full class, then the invitations would all be sent out together.
If I'm not following correctly and you're trying to do something else, let me know.

No, what I'm trying to do is make it so that the teachers will have access to administer the survey to each of their class periods. So the same survey will be sent out but by each teacher to each of their class periods. I hope this makes sense.

OK. A single survey can be used, but each class period should be set up in a different email list so the teachers can send them separately from one another. If each teacher has their own Qualtrics account then the survey will need to be shared with every account with the appropriate permissions.