I am agree/agreed to my mother .
I am agree/agreed with the idea of selling books on high prices/costly.
Be agree/agreed to or with...
I am worry/worried about current situation of my country.
Be worry/worried about....
I am worry/worried about current economic situation in my country.
I waved to him at dispersal/recess break time to make him attentive.
Underlined words are correct in my opinion,but i really don't know the rule for them and if I am wrong in any way regarding prepositions or verbs so please help me regarding.
If your only option is to select the word, I would select agreed for both of the first two sentences. However, there are other mistakes as well. Here is what I would say:
I agree with my mother (or, I am in agreement with my mother)
I agree with the idea of selling books at high prices
Agree with (or be agreeable to)
I am worried about the current situation in my country.
Be worried about . . .
I am worried about the current economic situation in my country
I waved to him at recess to get his attention
I'm going to say this more strongly.
I am agree is wrong with any preposition. I would call I am agreed wrong, but perhaps others might find a way to make that right, but I can't imagine anyone could say I am agreed to my mother is right.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.