edit (Oct 26): I think there are two separate (but entangled) issues here.
Does the algebra tag have a clear meaning or will/has it ended up on questions in two distinct areas?
If algebra does not have a clear meaning and/or encompasses questions in two distinct areas, what tag should be used for the type of algebra involving groups, rings, etc., and what tag should be used for the type of algebra that is symbolic manipulation as is typically (at least in the U.S.) studied prior to calculus?
I personally believe that algebra is ambiguous and that we should be using two distinct tags to disambiguate it. I don't particularly care what those tags are, so long as they are readily discoverable and have clear meaning.
original question text:
To me, the algebra tag is almost always too broad and vague. Most questions that would be tagged algebra would be more properly tagged abstract-algebra or algebra-precalculus, with the possible exception of questions that do actually span both precalculus-type algebra and abstract algebra. What do you think?
(I think the current usage has sorted itself out, but this may be useful for anyone wondering about it in the future.)