1. Lazy people do not believe in / on / about working hard.
2. I'm trying to focus at / with / on my homework. Please be quiet.
3. It's a good idea not to worry on / about / in your exam. Study hard and you will be fine.
4. How do you deal in / at / with your work and study at the same time?
5. Janice doesn't like to depend on / from / with anybody. She's very independent.
6. I prefer to connect on / at / with friends by meeting them, not through social media.
7. Pauline listens at / on / to music on her way to school every morning.
8. Oliver really cares on / about / with his friends. He's always kind and generous to them.
9. Are you still thinking at / on / about the dress in the shop window?

Lazy people do not believe in working hard.
Здесь используется выражение “believe in” — верить в что-то, придерживаться идеи.

I'm trying to focus on my homework. Please be quiet.
Глагол “focus” употребляется с предлогом “on” — сосредоточиться на чём-то.

It's a good idea not to worry about your exam. Study hard and you will be fine.
“Worry about” — беспокоиться о чём-то.

How do you deal with your work and study at the same time?
“Deal with” — справляться с чем-либо, иметь дело с чем-то.

Janice doesn't like to depend on anybody. She's very independent.
“Depend on” — зависеть от кого-то или чего-то.

I prefer to connect with friends by meeting them, not through social media.
“Connect with” — общаться, устанавливать связь с кем-то.

Pauline listens to music on her way to school every morning.
“Listen to” — слушать что-то.

Oliver really cares about his friends. He's always kind and generous to them.
“Care about” — заботиться о ком-то, переживать за кого-то.

Are you still thinking about the dress in the shop window?
“Think about” — думать о чём-то.