Which statement correctly describes john adams's presidency? a. he served two successful terms and was nominated for a third. b. he kept the united states out of the war between france and england. c. he was the first bachelor to serve as president and named his aunt as "first lady." d. he doubled the size of the united states through the louisiana purchase.

A is wrong, as if you check, John Adams' presidency was from 1797 to 1801--only a single four year term.
B is true. Since George Washington made the Proclomation of Neutrality before him, John Adams ended up having to uphold it. There's a famous debacle called the XYZ Affair where US diplomats were stopped from talking to the French foreign minister by his agents unless they paid a hefty bribe. (whose names were replaced with X, Y, and Z when Adams released the documents so as to avoid involvement in French wars)
C is wrong. John Adams' wife, Abigail Adams, had been married to Adams for over thirty years before he took office.
D is wrong. The Louisiana Purchase was in 1803, during which the third president, Thomas Jefferson, was in office.