The Room is great, I got it from a Humble Bundle and it's one of the few Android games I've completed all the way through. Anyone that's a fan of puzzle adventure games should definitely grab it while it's free (to bad it's only the tablet version free today, but I believe the normal one was at one point as well). That reminds me there is apparently an epilogue level now, I need to get on that...
I was able to download, install, and play the Kindle Fire version of Diner Dash when it was offered for free on my ancient HTC Droid Incredible S. You should be able to install them even if your device isn't officially supported (thanks for not being so uptight like Google, Amazon), and considering the Nexus 7 is a good deal more powerful than the Kindle Fire they shouldn't have any problem running.
is the nexus 7 more powerful then the new kindles ?
i had to return my kindle HOPEFULLY though since its still link to my account (factory reset the system only) that means i can download all of these games to a new kindle i get in the future