1. Can I cash a cheque here?
我能不能在这儿兑支票?
还能这样说：
Do you deal with the business of cashing a check?
Could you tell me if I can cash a check here?
应用解析：
a blank cheque 空白支票;自由行动的权力;
give sb. a blank cheque 给予某人全权，让某人便宜行事;
raise a cheque 增改支票上金额
2. How do I open a checking account?
怎样开个支票户头?
还能这样说：
What is the procedure for opening a checking account?
What should I do to open a checking account?
应用解析：
leave oneself wide open 使自己暴露在攻击之下;
leave open 未解决;悬而未决;
throw open 突然打开;取消对……的限制;
open with 以……开始
3. I want to change my traveler's cheque.
我想兑换我的旅行支票。
还能这样说：
I'd like to check out the traveler's cheque.
I want to cash this traveler's check.
应用解析：
travel around the world 周游世界;
travel to Hangzhou 到杭州去旅行;
travel over 眼睛仔细地看，逐个地看;仔细考虑
4. Do you charge for cheques?
兑换支票你们收手续费吗?
还能这样说：
Will you please tell me whether you charge for cheques?
Should I pay for the fee for cashing cheques?