Do I have to change my name on my driver's license if I'm moving?

I just recently got married and I am moving out of state this month. I have already change my name with the SSA. I will only be living here in Nevada for three more weeks and then I'm moving. Do I have to change my name on my driver's license? I really don't want to pay the renewal fee to just have it for the next 3 weeks. Does anybody know? Do I have to change my name on my license if I am selling my car?