What does “free / busy” mean?

Meaning, example sentence and a quick practice question.

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“I'm free on Thursday, but busy on Friday.”

From the B2 lesson Making Plans (invitations and arranging).

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What does “free / busy” mean?

Teaching this phrase?“free / busy” is part of a ready-to-teach lesson, with a reading, three exercises, speaking tasks and an answer key, in Everyday English Chunks B2 Pack 2 (Plans, Problems and Feelings).
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Related phrases

be up for (something)to be interested in doing something
fancy (doing something)to want to do something
pencil something into provisionally schedule something, that might change
get togetherto meet socially with other people
count me inused to say you want to join a plan
sort something outto arrange or organize something
sound good (to someone)used to say a plan or idea seems fine
let someone knowto tell someone some information
make it (to something)to be able to attend or arrive at something