I have only rarely heard tuition to mean anything other than "a fee paid for teaching," but I speak AmE, and I see from the WR dictionary that tuition meaning "lessons" is still used in BE. I don't know if that's true or not, but that's what the dictionary says. (It is still used in AmE, just not very often.) In any case, it seems clear to me that the "fee" meaning has to be the one in effect here, in which case both "too expensive" and "too high" are perfectly fine.
In the UK, over the past few years, there has been much fuss about the rise in tuition fees at most universities. Tuition is as KeithB says - teaching, often privately, but also commonly at university.
1. The tuition was too expensive.
2. The tuition was too high.