Sure! Video cards are backwards compatible. They work fine! :)
Video cards I recommend are the Radeon 7770 at $100, or the 7790, or 7850, or 7870 for $200. Anything over the 7870 gets way too expensive. The 7770 is great for general use, and light to medium gaming. The 7870 would be for heavier gaming. The 7770 is the most bang for the buck, at around $100. (The Radeon R7-260X is like a Radeon 7790, and the R9-270X is like a 7870, they just cost more, being more recent cards.)
Computers are built with a power supply just barely able to power them as they are. A video card of any kind requires an upgrade of the power supply. Even the ones that don't have extra power connections can draw up to 75 watts from the motherboard. I would recommend 750 watts, semi-modular, 80+ rated, single 12 volt rail, active PFC, and so on. Cost about $135. It's always best to have more power than you need. Power supplies are happiest running below their maximum, and they live much longer lives. :)
Total cost would be $100 to $200 for the video card, and $135 or so for the power supply. :)
~Helpful ~Cindy! :)