I just received a children's book for my kids.  It appears to be a free book handed out by chick-fil-a with a kids meal.  It has no ISBN on it so I'm assuming the person just posted it by title.  When I double check the book ordered, it says it is a Scholastic edition. 

Should I mark it RWAP?  As far as I can tell, the book is the same, it is just covered in Chick-fil-a advertising front to back which, as a vegan, is a wee bit annoying.    In that sense, it isn't really the book I ordered, kwim?

Yeah, those are free kid's meal prizes, and not the full-sized version. I'd RWAP that.

Wrong-book transactions:

A "wrong book" at PBS means a book that does not match its listing in the PBS Database in one or more of the FOUR necessary aspects:  ISBN, Title, Author and Booktype.

• Nothing else about a listing needs to match
• cover image does not have to match
• Publisher does not have to match
• Publication date does not have to match.

If you receive a book you did not request at all (totally wrong title), please see I received a book I didn't request! for instructions.

Please note the special case of Large Print: Large Print is not a booktype at PBS, and does not show on the Book Listing Preview while posting a book.  If the ISBN matched the book being Posted, and the words "Large Print" were not in the title, and was not categorized as Large Print in the database, the sender may not have known when posting this book that this listing had been listed as Large Print genre at PBS.  This sometimes happens when publishers assign the same ISBN to both Large Print and regular-font editions of a book.

From the above I would say that you should check the ISBN.  If the book matches ISBN, Title, Author, and Booktype (paperback etc) then you have no complaint (one of the problems with the Non-ISBN listings here).

EDIT: Watching the forums, it definitely appears that the help-docs need some definitive answers posted for non-ISBN books, there aren't any guidelines.

If you ordered a specific ISBN and the person sent a copy that is not that ISBN then you can RWP the book.  If they posted the book without the ISBN then I don't think you can.

What Mary said.  OP says you ordered a scholastic edition and received a non-ISBN edition.  Unless you ordered a short ISBN it sounds like a RWAP.

Sometimes the children's books list numbers of pages.  I'd check that.  And if the ISBN is on the copyright page.