Concept:A phrasal verb is a verb combined with a particle that gives a new, fixed meaning.
Explanation:“Carry out” means to execute, obey, or complete an order or instruction.
“Carry away” means to remove something or become overly emotional.
“Carry on” means to continue.
“Carry off” means to succeed in doing something difficult.
In the sentence, “my orders” must be obeyed or executed, so “carry out” is the correct phrasal verb.
Answer:He agreed to carry out my orders.
Correct option: B.