The correct answer for 1 is mountain men
The pioneers were people who went as settlers to inhabit a piece of land and cultivate it. Mountain men were hunters who would hunt the animals for fur and then sell them to companies for profit. They often even worked with Native Americans which was especially common in French North American colonies.
The correct answer for 2 is the Mexican-American War
Texas revolution happened when Tejanos, people from Texas, wanted to separate themselves from Mexico and become an independent republic. The war started when Texas and the US started working on making Texas one of the States, since Mexico didn’t relinquish its claim on the territory.
The correct answer for 3 is the bear flag revolt
It was a rebellion in California that was caused because people there wanted to become independent from the state of Mexico. This event happened around the time of the Mexican-American war and was important for the Mexican government.
The correct answer for 4 is Joseph Smith
The church that you names is actually more commonly known as the Mormon Church. They were found during the second great awakening and were prosecuted often for being blasphemous. As they moved to preserve their faith, they eventually ended up in Utah area.
The correct answer for 5 is Winfield Scott
He was a United States war general who managed to beat Mexicans and enter Mexico City which ended the war since the Mexican government accepted surrender and initiated peace talks with details outlined in a formal treaty between the states.