Graphics glitching during games

I recently built my first rig. Went surprisingly well, booted up the first time with no real problems, etc. The computer flies, handles almost everything perfectly, etc. The only problem I have is that whenever I play a game (League of Legends, Eve Online, Battlefield), the screen starts twitching at times, artifacting, or just slightly cutting out. When I'm not playing a game, this never happens. I suspect this is the video card acting up? I'm using a Sapphire 7950. I just want to make sure that's the issue before I contact Newegg for a return. Should I consider switching to a different card?

Thanks