When you've made up your mind, print out a Bill of Sale and buy that sucker.
Drivetrain & Transmission:
Engine:
Cooling & Heating:
Fluids, Belts, Filters & Wires:
Lighting
Brakes
Check spot where owner usually parks, checking for fluids on ground.
Suspension & Steering:
Body:
Exhaust:
Downshift all gears to check syncros. Listen for whines or howling in transmission above 40 mph. Possible differential problem.
Bring car to speed, and then brake hard. Any shuddering could be warped rotors.
Check emergency brake for function. Make sure it doesn't stick or drag. If it does, could possibly be bad calipers/cables.
Listen for howling coming from front or rear of car. If noisy, could be wheel bearing. Swerve side to side over 40 mph, listen for noise to confirm which bearing it is.
Accelerate hard, check for misses, bucking. May need tune, oxygen sensor.
Secure all maintenance records from customer. See if regularly serviced. Check maintenance book in glove box.
Is the car registered and insured? Does it have a plate? How will you get it home? Is there a title?
Spend $30-$40 to have your vehicle inspected by an A.S.E. tech., preferably an Audi specialist.