What do you think about quitting my job without giving notice?
Why do you want to quit your job with no notice?
I don't want to be a burden to anyone with my problems.
Sometimes we have problems that make it so we can't give adequate notice in leaving a job. However, whenever possible we should give two weeks notice before leaving a job, that way our employers have time to find new employees. If you leave your job without notice, you're likely to get a bad reference.
I wanted to see how it will go but I'm not sure if I'll leave.
Even if you don't know for sure you're going to leave the job, you should at least talk to your supervisor about the possibility. That way they'll know your plans when you make them and be able to find a replacement.