1. Will you mind the baby?

2. Will you care for the baby?
(Are both the same?)

3. Mind that step.
4. Be careful of that step.
5. Pay attention to that step.
(Are they the same?)

6. Don't mind me.
7. Don't fell distracted about me.
(Are both the same in meaning?)

1 and 2 mean the same, yes.

3, 4, and 5 mean the same, too, yes.

6 and 7, however, don't mean the same.