It's easy think about how they are different if you think about their different functions and environments.
Let's think about the difference between the walls. Animal cells have a thin cell membrane whereas plant cells have a thick cell wall and a thin cell membrane.
In terms of function, both cells need to be able to control what goes in and out of their cells, so they both need the thin cell membrane which does this.
However, if we think about an animal - the structure of the animal comes from the tough skeleton. The plant doesn't have this, so the cells each need to be that structural support. It does this using a thick fibrous cellulose well.
A lot of your exams is about linking structure and function. If you understand how they interlink you will do very well.