I worked for years and tried very hard to not to go over my amount. You are totally allowed to ask questions and investigate this and they can't drop your social security. They will drop it like Caledonia says if you make over the amount that you are allowed for a significant amount of months. It used to be something like 9 months of making over the amount.
When I called SSD, they actually told me, "We want you to work, we know you can't survive on what we are giving you."
It changes from state to state. Here, you can make up to over a $1,000 a month. In NY, you can make more. It depends on the cost of living in your location.