A is/are B A is a noun, and B is a noun or adjective.
The "or adjective" part is misleading. The construction instructions only show nouns, but still about 50% of the user sentences are using i-/na-adjectives which are in a different group.
You’re right. There are in fact two such sentences.
It is very common to drop です or replace it with a different sentence ending particle in casual conversation. This probably isn’t the best place to demonstrate that though.
), I thought this is a separate grammar point. 
