for/of/with/about

[Elsa]

Hi, could anybody help me choosing the correct answer?

When I opened the envelope I found a cheque for/of $100.
Why are you rude with him? Can't you be nice to/with him?
I'm disappointed with/ about the hotel.
She's excited at/about her new job.
We weren't very impressed with/by his appearence.
I felt sorry about/for the children. They couln't go to the party.

Any rules for that uses?

[RonBee]

When I opened the envelope I found a cheque for/of $100.

for

Why are you rude with him? Can't you be nice to/with him?

to

Say: "Why are you rude to him? Why can't you be nice to him?"

I'm disappointed with/ about the hotel.

I would say about. Generally, we express disappointment with (or in) a person.

We weren't very impressed with/by his appearence.

with

I felt sorry about/for the children. They couln't go to the party.

for

If there's a rule, Cas knows it.

:)

[Edited to change something.]

[queenmaabd]

I'd love to hear Cassiopea's rule for this one :D