Final answer:
The complete verb phrase with the helping verb in the sentence provided is 'didn't want.' In the review questions, the subjects, intransitive verbs, and adverbials have been identified for each sentence. The rule for plural verbs with subjects joined by 'and' has also been explained.
Step-by-step explanation:
In the sentence, 'Nathaniel asked Kathleen to go to the game, but she didn't want to go,' the complete verb phrase containing the helping verb is 'didn't want.' Here, 'didn't' acts as the helping verb, while 'want' is the main verb being helped. This verb phrase indicates that Kathleen was reluctant or unwilling to attend the game.
The subject is 'We,' the intransitive verb is 'went,' and the optional adverbial is 'to the bowling alley on Friday.' The subject is 'Mr. Billingsworth,' the intransitive verb is 'laughed,' and the adverbial is 'at the antics of the class clown.' The subject is 'The ambassadors from Albania,' and the intransitive verb is 'arrived.' There is no adverbial present.
Regarding the rule for conjunctions, if the subject consists of nouns or pronouns connected with 'and,' such as in 'Her watch and wallet were stolen,' the verb will be plural and in this case, it is 'were stolen.'