[noun] + 是 + [noun] [noun] + 不是 + [noun]
Questions:
With adjectives, drop 是: [noun] + 很 + [adjective]
是 joins two nouns and translates as "am", "is" or "are". What comes before 是 and what comes after it point to the same person or thing.
是 has one form and keeps it. It also refuses the aspect markers that most verbs accept – 了, 着 and 过 do not attach to it, so there is no 是了 or 是过.
Put 不 directly in front: bù shì不是.
English puts "is" before an adjective. Chinese does not. 我是忙 is wrong – the adjective already works as the predicate, and 很 fills the slot in front of it.
很 in this position is weaker than its dictionary meaning of "very". Left unstressed it barely means anything; to actually say "very", stress it in speech or reach for fēi cháng非常.
Add 吗 to a statement, or repeat the verb as 是不是.
Both take 是 or 不是 alone as an answer.
是 also brackets part of a sentence to point at when, where or how something happened. The event itself is old news – what the speaker is pinning down is one detail of it.