How to make requests and offers in English

In this post we learn some of the common ways for making requests and offers.

Asking someone to do something for you:

• Can you + infinitive ..., please? 
• Could you + infinitive ..., please? 
• Would you mind + verb+ing ..., please? 

Note: infinitive is without "to", because "can" and "could" are modal verbs.

Asking if you can do something: 

• Can I + infinitive ... ?
• Could I + infinitive ... (please)?
• Shall I + infinitive ...?
• Would you like ...

Responding: 

• Yes please.
  
• Yes, sure.
• Yes, of course.
• yes, certainly.
  
• I'm sorry, but...
• I'm afraid that...
• No thanks, I...