Final answer:
By 1855, the states which allowed free African Americans to vote without significant restrictions were Maine, Massachusetts, New Hampshire, Rhode Island, and Vermont; hence, from the options provided, Maine and Massachusetts were correct.
Step-by-step explanation:
After 1840, the voting rights of free African Americans were increasingly restricted across the United States. However, by 1855, there were still five states which allowed free African Americans to vote without significant restrictions. Those states were Maine, Massachusetts, New Hampshire, Rhode Island, and Vermont. Consequently, the correct answers from the provided options are Maine and Massachusetts. New York, after having initially allowed African American men to vote, instituted property qualifications in 1821 that effectively disenfranchised most African American men by 1822. Similarly, other states either never allowed free African Americans the right to vote or had rescinded those rights by 1840.