Translation of "Anotar" in English

Quiero anotar todo esto.

I want to write all of this down.

¿Podrías anotar eso, por favor?

Could you write that down, please?

No pude anotar la matrícula del auto.

I was unable to write down the number of the car.

Deberías anotar lo que sea que suene importante.

You should write down whatever seems to be important.

Traté de anotar cada una de sus palabras.

I tried to get down every word he said.

¿Por qué no me puedo anotar en aquella clase?

Why I can't register for that class?