1. Michelle Kwan has become an inspiration to us all.

2. Is Sara the runner in the blue T-shirt?

3. I could have been a contender.

4. The winner of the spelling bee was Tracy.

5. The next speaker will be Mr. Gonzales.

6. Who was the fourteenth president of the United States?

7. My favorite memory of the trip is our day at the Grand Canyon.

8. At the age of eighteen, my father became the first person in his family to go to college.

9. Were the stars of that movie Lauren Bacall and Humphrey Bogart?

10.The next contestant on the show is Mr. Hynes.

My answers:
1. Linking verb: become; Predicate nominative: inspiration
2. Linking verb: in; Predicate nominative: runner
3. Linking verb: have been; Predicate Nominative: contender
4. Linking verb: of; Predicate Nominative: Tracy
5. Linking verb: will be; Predicate Nominative: Mr. Gonzales.
6. Linking verb: of; Predicate Nominative: United States
7. Linking verb: is; Predicate Nominative: Grand Canyon
8. Linking verb: became; Predicate nominative: ????
9. Linking verb: of; Predicate Nominative: Lauren Bacall and Humphrey Bogart
10. Linking verb: is; Predicate nominative: contestant

3. Verb: could have been

4, Of is a preposition, not a verb.

6. Wrong verb

7. Wrong PN

8. person is the PN

10. Wrong PN

Everything else is right.

is #4 'was'?

is #6 'was'?
is #7 'day'?
is #10 "Mr. Hynes'?

is #4 'was'? yes

is #6 'was'? yes
is #7 'day'? yes
is #10 "Mr. Hynes'? yes

Your answers for the first nine sentences are mostly correct. Let's go through them one by one:

1. The linking verb is "become" and the predicate nominative is "inspiration." This is correct.

2. The verb in this sentence is "is," but it is not a linking verb. "Is" is functioning as an auxiliary verb to form the present progressive tense of the verb "be." The subject is "Sara" and "the runner in the blue T-shirt" is a noun phrase serving as the subject complement, describing Sara. So there is no predicate nominative in this sentence.

3. The linking verb is "have been" and the predicate nominative is "contender." This is correct.

4. The linking verb is "was" and the predicate nominative is "Tracy." This is correct.

5. The linking verb is "will be" and the predicate nominative is "Mr. Gonzales." This is correct.

6. The linking verb is "was" and the predicate nominative is "fourteenth president." You missed the noun phrase "fourteenth president."

7. The linking verb is "is" and the predicate nominative is "day at the Grand Canyon." This is correct.

8. The linking verb here is "became" and the predicate nominative is missing. There is no phrase or word that completes the meaning of the sentence. To better understand the sentence, we would need more information or a clearer context.

9. The linking verb is "were" and the predicate nominative is "Lauren Bacall and Humphrey Bogart." This is correct.

10. The linking verb is "is" and the predicate nominative is "contestant." This is correct.

Overall, you did a good job with the question sentences. Keep in mind that not all sentences will have a predicate nominative. It's also important to pay attention to the structure and meaning of each sentence to correctly identify the linking verb and the predicate nominative.