I believe there are a surprising number of "takes" to be discussed and never learned fully for most non-English speakers. It does take us a lot of time and effort to commit these "takes" to memory.

@Garry Andres, @billzhou: Those are great examples.  I tried to limit my video to common phrasal verbs (a verb with a preposition) but there are also great particle verbs and compound verbs with 'take'.

Take care
Take a look
Take off

Take charge

Take command

take over

take the lead

take it.

'Take on' and 'take up' are not interchangable.

'To take on' means 'to face' a challenge or competitor.

In this case 'to take up' means 'to begin' a new hobby or regular activity.

Examples:

I'm looking forward to taking on this new position.  I need management experience.

He was willing to take on a fighter much taller than him.

I'm thinking of taking up swimming.

She decided to take up knitting after her mother became ill.