Assign specific entity to parameters of enter data form task?

Summary:

Is there a way to assign a specific entity to a enter data form task in task manager?

Scenario:

Assume a user has access to 10 entities. In task manager, a task has been created for each of these 10 entities and are enter data form tasks. Is there a way to set the entity to the task so when they open it, the form has the related entity? Obviously I could create 10 forms and hardcode the entity that way and assign the right one to the task, but I would prefer not to do that.

Thanks