Typically, you just need a state card.
ETA: some schools are very competitive, like, they have 200-400 applicants, but only 40 spots. Those schools sometimes have a bunch of extra criteria to weed out one applicant from another. Some schools simply do a pre-test and base it on who is the most knowledgeable. In this sort of situation, where a school is trying to sort through applicants, they might require additional standards. Additionally, most schools have to maintain a certain pass rate percentage for accreditation purposes. Those schools sometimes add a lot of stuff on the front end to ensure that the candidates have better chances of passing in the end in order to keep their accreditation.
Short answer: most places just need a current, valid state card.
Long answer: it is very complicated, and for a variety of reasons schools often add extra requirements. All states vary. All schools vary.