How about going for afternoon tea with me?

What about having afternoon tea with me?

和我去喝下午茶怎么样？

How/What about...?

...怎么样？

I want you to be my dance partner.

I hope you can be my dance partner.

我希望你能成为我的舞伴。

I hope/want...

我希望/想...

I hope you won't turn down my invitation.

希望你不会拒绝我的邀请。

Would you like to come and have dinner with us?

你要不要来和我们一起用餐？

Would you like to...?

你愿意...吗？

I wonder if you're free tonight?

我想知道你今晚有空吗？

I wonder if...

我想知道是否...

A: Are you free next weekend?

下周你有空吗？

Are you available?也可以表示“有空吗？”

B: What's up?

怎么了？

What's up是美语中一个非常常用的句子，有两个主要用法。一，表示询问别人有什么事；二，作为问候语，相当于how are you，表示询问对方的近况，有时也相当于Hi或者Hello.

A: We're going on an outdoor expedition next weekend. Would you like to join us?

下周末我们要去户外探险，你想加入吗？

expedition表示“（以探险为目的的）有组织的旅行”

B: It's a long-awaited activity. But I can't give you a clear answer, because I am not sure if I'm going to work overtime next weekend.

这可是我期盼已久的活动啊，但是我还不能给你明确的答复，因为我不确定下周末我是否要加班。

A: What do you mean?

你这句话指什么意思？

What do you mean表示“你什么意思”？在口语中因为语气的不同而有不同的含义。一，表示对对方的话会行为不理解；二，表示反问对方，对对方的话和行为生气。

B: Well, we got a big order. All the people are busy with this recently, so maybe we have to work overtime.

是这样的，我们公司接了一个大的订单，最近所有的人员都在忙于此事，因此我们可能要加班。

A: Well, the job matters. When can you fix the time? We are counting the numbers.

好吧，工作重要，那你什么时候能确定呢？我们正在统计人数。

fix除了表示“修”，比如：fix the computer修电脑；还可以表示“确定（时间；日期；价格；政策等）”，fix a time表示“确定时间”。

B: Next Tuesday at the latest. How many of you are there now?

最晚下周二，现在你们有几个人了？

A: Six if you're in. We plan to invite ten persons in.

如果加上你就是六个人，我们计划邀请十个人。

B: I've been longing for an experience like this. I really don't want to miss it. Thank you for telling me.

我一直期盼能有一次这样的体验，我真不想错过啊，感谢你告诉我这事儿。

long for表示“期盼；渴望”