What is another name for the subject and all words that are modify it?

The subject and all words that modify it are collectively known as the subject phrase or noun phrase.

Here's why:

* Subject: The main noun or pronoun that performs the action of the verb in a sentence.

* Modifier: Words that describe or give more information about the subject. These can be adjectives, adverbs, prepositional phrases, participial phrases, etc.

Example:

* The big, red ball bounced down the street.

* Subject: ball

* Modifiers: the, big, red

* Subject phrase: The big, red ball