1.The Reverend Jesse Jackson spoke at the convention.

2.I wear heavy wool socks under my hiking boots.
3.Joel and Tina are participating in the Special Olympics.

Identify prepositional phrase, tell if adj or adverb phrase then word that phrase modifies

1.at the convention-adverb-spoke
2.under my hiking boots-adj-heavy wool
3.in the Special Olympics-adv-participating

1 and 3 are correct.

2. Your prepositional phrase is correct. But -- "under my hiking boots" tells where, so it must be an adverbial phrase modifying "wear." Another way of looking at this is that the phrase can be placed at least three places in this sentence. That fact identifies it as an adverb, modifying the verb.

1. The prepositional phrase in this sentence is "at the convention." It is functioning as an adverbial phrase modifying the verb "spoke." It provides information about where Reverend Jesse Jackson spoke.

2. The prepositional phrase in this sentence is "under my hiking boots." It is functioning as an adjectival phrase modifying the noun "socks." It provides information about the location of the socks, indicating that they are positioned below the hiking boots.

3. The prepositional phrase in this sentence is "in the Special Olympics." It is functioning as an adverbial phrase modifying the verb "participating." It provides information about where Joel and Tina are participating, indicating that it is specifically within the context of the Special Olympics.