There is a sticker on a book I recieved that says, "This book  was originally distributed as a sample copy by the publisher for academic review.  All chapters and pages are included."  Is this an advanced reader copy and should I mark it RWAP?

Doesn't sound like it.  It might just be a finalized copy that was released as a specialized book rather than to the general public.  Usually an ARC will say so - the one in front of me now has this on the front cover "Advance Reading Copy - Uncorrected Proof - Not for Sale"

OK, thank you!

I agree with Rhonda.  A sticker that the book was as sample does not (by itself) mean it's an ARC.  A sample could easily be the full, finished edition, whereas ARC's could have revisions and are not guaranteed to be the final edition of the book.

ARC's are marked as such, either on the cover and/or the lower part of the back cover (which often includes other information such as publication date, etc.)

It is not an ARC.  These are books which are provided free to educators and schools to consider for use in their classrooms.   They are the full, complete book, they just didn't cost the person who origionally got them anything (though the sender might have bought them, I've gotten some off Half.com, though you're not really supposed to sell these for profit).  Publishers sometimes send them without any warning and it seems silly to just throw them away.  If I have one of these, I always PM the person about it first, though I don't think this is required by TBTB.