That's great, CPhill! :D
I just found another way by working backwards:
22/2 = 11, and 3*4 = 12, minus 1 = 11
So 22 = $$\left(\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{4}}\right){\mathtt{\,-\,}}{\mathtt{1}}\right){\mathtt{\,\times\,}}{\mathtt{2}} = {\mathtt{22}}$$
Actually, kitty<3, I might have "violated" the rules with the use of powers....but, then again......I didn't actually see any "rules" posted............
I have added these numbers to the number puzzle thread and directed people here for the answers.