Final answer:
The teacher who gives Booker his exam in "The Struggle For an Education" is General Samuel C. Armstrong, who was the president of Hampton Institute.
Step-by-step explanation:
In "The Struggle For an Education," the teacher who gives Booker his exam is General Samuel C. Armstrong. General Armstrong was the president of Hampton Institute where Booker T. Washington attended school and received his education. He also served as a mentor to Booker and recommended him to be the first leader of Tuskegee Normal and Industrial Institute.