Here is an upper body weight routine that you can do with dumbbells for a basic level of fitness. I found examples of these exercises at BodyBuilding.com for you to see the proper form.
Each round consists of two different exercises. Do 10-15 reps of each exercise and alternate between the two exercises until you’ve done 3 sets of each.
Shoulders- Dumbbell Shoulder Press
Chest- Dumbbell Bench Press
Back- One Arm Dumbbell Row
Biceps- Alternating Dumbbell Curl
Triceps- Dumbbell One Arm Tricep Extensions
Abs (Do 3 sets of 30)- Air Bike
Please use caution when doing these exercises and use a light weight until you learn the right technique. If you need help, have someone spot you.