`1` What do you like (eating/ eat/ to eating/ eats) after meals?

`-` Loại eat/ eats/ to eating vì không đúng dạng.

`to` like+ V-ing/ to V-inf.
`2` I haven’t heard any news of Peter (in/ on/ since/ for) 1999.

`-` S+ haven't/ hasn't+ Vp2+ since+ a point of time.

`-` S+ haven't/ hasn't+ Vp2+ for+ a period of time.

`-` Loại in/ on vì đang là HTHT.

`-` Loại for vì 1999 là mốc thời gian.

`to` since+ mốc thời gian.
`3` You don’t live here, (don’t you/ do you/ are you/ aren’t you)?

`-` Loại don’t you/ aren’t you vì câu hỏi đuôi: ở trước là phủ định thì sau phải khẳng định.

`-` Loại are you vì trước đó có trợ động từ don't.

`to` do you vì trước đó có don't.
`4` Peter asked John (did / when / if / does) he liked learning Vietnamese.

`-` asked if.
`5` It's was hot, (however/ but/ because/ so) I turned on the conditioner.

1. What do you like (eating/ eat/ to eating/ eats) after meals?

→eating (enjoy/love/like/... + V_ing)
 2. I haven’t heard any news of Peter (in/ on/ since/ for) 1999.

→since (since + thời gian đã được xác định)
 3. You don’t live here, (don’t you/ do you/ are you/ aren’t you)?

→do you? (S + not + V/be + not, trợ động từ + S/be + S?)
4. Peter asked John (did / when / if / does) he liked learning Vietnamese.

→if (S + asked + S + if + S + V)
 5. It's was hot, (however/ but/ because/ so) I turned on the conditioner.

→so 

Tạm dịch : Trời nóng nên tôi đã bật điều hoà lên.