The correct answer is D. Began
Step-by-step explanation:
The past tense of a verb refers to the verb form that expresses the action finished or belongs to the past. In English, regular verbs such as talk, walk or live, become past tense forms by adding -ed to them (talked, walked, and lived). However, in irregular verbs such as be, write or begin the grammatical form used for the past tense is particular to each verb. In the case of the verb "begin" that is the verb in the sentence, the correct past form is "began" as this expresses this action finished. For example, "Yesterday, the concert began at 5:00". Thus, the correct answer is "The band began to play".