homework是不可数名词。因为作业是没法计算出具体数量的，所以是不可数名词。homework做主语时谓语要用单数形式。
homework
un.(学生的)家庭作业;准备工作
1、（学生的）家庭作业
I still haven't done my geography homework.
我还没做完地理科家庭作业呢。
How much homework do you get?
你有多少家庭作业？
My homework today is to write a composition.
我今天的作业是写一篇作文。
2、准备工作
Before you go near a stockbroker,do your homework.
找股票经纪人之前，先要做好必要的准备工作。
I have to do a lot of homework for tomorrow's meeting.
明天要开会，我还要做许多准备工作。
You could tell that he had really done his homework .
你能看得出他确实做好了充分准备。
housework
un.家务劳动;家务事
Housework keeps mother on the fly all day.
家务劳动使母亲整天忙忙知碌碌。
We alternate in doing the housework.
我们轮流做家务。
I often help my mother with housework on weekends.
我经常在周末帮我妈妈做家务。