I understand 2010 has been a tough year and you may have a few questions about unemployment benefits.
Each state has its own formula to calculate the amount of earnings which workers are allowed from part-time work while remaining eligible to receive unemployment benefits. You are legally required to report income that you have while receiving unemployment benefits to the unemployment office. If you don't report them, you might not get caught since they might not find out, in which case you did something illegal but got away with it. If you get caught, you would have to pay back the unemployment that you got illegally, plus other possible penalties. My recommendation is to call your local unemployment office to find out what their requirements are.