表示同意做某事，通常是用 agree to do sth，但是看到一个这样的句子：

He agreed with asking for more money. 

这样的用法也对吗？

回答如下：

以上语法上没有问题，语义上也没有问题，因此都是正确的 ，但是通常同意作某事，用agree to do sth结构更正式些。

动词agree 后面可以接介词"to" 和不定式"to do" 还可以接介词"with"现将这个结构归纳如下

(1)agree to sth(suggestion建议、arrangement安排、plan计划;提议proposal)同意某事（含有协助意味）

Weagreed to their arrangement. 

我们同意了他们的安排。 
She agreed to marriage. 

她同意结婚。 

He agree to the plan (the date). 

他同意了这个计划(日期)。

Do you think he will agree to my suggestion? 

你认为他会同意 (接受)我的建议吗?

（备注1：有时 agree to 也可用来表示“答应”一件自己不愿做的事： 
I was forced to agree to it, but at heart I didn’t quite agreewith it. 

我被迫答应，但内心并不完全同意。 

(备注2：还可以接动名词/动名词复合结构作宾语）

She agreed to my going home. 

她同意我回去。

(2)agree to do sth 同意作某事
He agreed to go with us. 

他同意同我们去。

We agreed to leave early. 

我们同意早点出发。

He agreed to help us.   
他同意帮助我们。We agreed to start early.

我们同意早动身。

We agreed to leave at once.   
我们同意立刻离开。

He agreed never to smoke.   
他同意不再吸烟了。

He agreed to accompany us to the theatre.   
他答应陪我们去剧院。

They agreed to reserve four tickets for us.   
他们答应给我们留4张票。

I agreed to buy her a new car.   
我允诺给她买辆新汽车。

He agreed to get someone to help us.   
他答应找人来帮我们的忙。

They agreed to meet us half-way.   
他们同意对我们作一定的妥协。

(3)agree with 

A:表示同意某人或某人的意见、想法、分析、解释等 (即持同一观点)。（不含有协助意味）

I quite agree with you. 

我完全同意你的意见。

We agree with what you say. 

我们同意你说的。

I, for my part, totally agree with you.

至於我,我完全同意你的看法。

I agree entirely with you.

我完全同意你的看法。

In a way I agree with Mary.

在某些方面我同意玛丽的意见。

In the main,I agree with Edward.

我基本上同意爱德华的意见。

I agree with you, but with some reservation.

我同意你的意见,但有某些保留。

I cannot agree with either side.

双方的意见我都不同意。

I agree with this heartily.

我由衷地赞同这一点。

Most of us do not agree with your opinions.

我们当中多数人不同意你的意见。

I agreed with your estimate of the situation.

我同意你对形势的估计。

Do you agree with what he said?

他说的你同意吗?

I quite agree with what you say.

我完全同意你所说的。

B:表示“(食物、天气、气候工作等)对……适合/适宜”。

The food does not agree with me. 

这食物对我不适合。

Hard work does not agree with him. 

艰苦的工作对他不适宜。

Spicy food does not agree with me.

辛辣食物不合我的胃口。

Shanghai does not agree with me; I like Beijing better.

上海对我不适宜,我更喜欢北京。

Paris does not agree with her

.她不习惯在巴黎生活。

The climate here agrees very well with me.

此地的气候与我甚是相宜。

That hot, damp climate did not agree with me.

我不适应那种热而潮湿的气候。

Too much meat does not agree with her.

吃太多的肉对她的身体不适宜。

Nothing agrees with me more than lobsters.

我最喜欢吃的莫过于龙虾了。

Milk does not agree with me.

牛奶不合我胃口。

This wine is too strong; it does not agree with me.

这酒太烈,我承受不了。

Late hours do not agree with me.

我不习惯熬夜。

That kind of life did not agree with him.

那种生活他过不来。

The medicine agrees with the patient.

这种药对这个患者是适合的。

Long plane trips do not agree with them.

他们不适应长途飞机旅行。

C:表示“与……一致/相符 ”

His story agrees with the facts. 

他的陈述与事实相符。

The witnesses' statements just don't agree with each other.

几个证人的陈述并不一致。

A verb must agree with its subject in person and number. 

动词必须和它的主语在人称和数方面保持

His explanation agrees with the facts of the situation.

他的解释与实情相符。

This bill does not agree with our original estimate.

这个账单与我们原来所估计的有出入。

Your story agrees with his in everything except some small details

.除了一些微小细节,你的叙述与他的相符。

This picture does not agree very well with the original.

这张画与原作不甚相同。

Your story does not agree with what I have already heard.

你讲的情况与我所听到的不相符。

(3)agree on (upon)

A:主要指双方通过协商而取得一致意见或达成协议。

Can we agree on a price (a date)? 

我们能不能商定一个价格(日期)?

Both sides agreed on these terms. 

双方都同意这些条件。

They agreed on a date for the next meeting.

他们就下次会议的日期达成了协议。

They agreed on a cease fire.

他们就停火问题达成协议。

If we cannot agree on a simple matter of that kind, we can never agree upon anything of importance.

如果我们连这类简单问题都达不成协议,重大问题就更谈不上了。

After a long discussion the delegates agreed on the final document.

经过长时间讨论,代表们一致通过了最后文件。

Finally they agreed upon a detailed plan of work.

最后他们就详细的工作计划取得了一致意见。

(备注：在正式文体中，有时可省略介词 on。)

Can we agree a price (date)?

We must agree the arrangements for this.   
我们必须同意为此所做的安排。

I agree your draft.   
我同意你的草案。

B:后接动名词，表示同意做某事。

He agreed on helping us. 

他同意帮助我们。

(4)agree +that从句

I agreed that it was a mistake.   
我承认这是一个错误。

I agree that your plan is better.   
我承认你的计划更好些。

He agreed that she had improved a great deal.   
他承认她比以前进步多了。

(5)agree+特殊疑问词+to do

We agreed how to try it.  

我们就怎样试行取得了一致意见。

We could not agree how best to do it.  

如何将此事做得最好,我们未能取得一致意见。

We could not agree when to meet.  

我们在什么时候碰头这件事情上不能取得一致意见。

(6)agree wh-从句

We could not agree how it should be done.  

我们就这事应该如何做未能达成协议。

They could not agree who should take the lead.  

他们还没商定好谁来领头。

My answer is yes. You can use this pattern. For example: 

As a non-smoker, I agree with banning smoking in public places.