家庭作业用英语是homework。
n.作业；(学生的）家庭作业；准备工作。
记忆技巧：home家+ work工作，作业→家庭作业。
翻译例句：
1.有些学校没有布置任何家庭作业。
Some schools fail to require any homework.
2.我讨厌家庭作业，特别是历史。
I hate homework. Specially history.
3.难道你还没有完成家庭作业吗？
Haven't you finished your homework yet?
4.我不得不详细地写好家庭作业笔记。
I have to write up the notes for homework.
5.我还没做完地理科家庭作业呢。
I still haven't done my geography homework.
6.他今天免了我们的家庭作业。
He let us off homework today.