Take another look at the sentence:
Obviously Alicia had chose the most difficult English teacher in the whole school. During the semester with Mr. Hayden, Alicia wrote twenty essays and studied grammar rules until she thought her head would burst.
Choose is an irregular verb; the chart below shows its forms.
|Verb||Simple Present||Simple Past||Past Participle|
Would burst, the verb you chose, is perfectly correct. Before you continue, review the rules for irregular verbs.