Yes. Both were won over the Mexican-American War (1846-1848). After such war, the conquered territories became, besides California, Arizona or Nevada, the two states of New Mexico and Utah.
At that time, there were 7 territories in the United States. These were the New Mexico, Washington, Utah, Nebraska, Kansas, Unorganized Oklahoma, and Unorganized Dakota Territories.
New Mexico and Utah
No - there was no slavery in the new territories - California or New Mexico or Utah. Texas was a slave state already.
They didn't. They were just Territories then.
Utah
New Mexico and Utah
Washington, Dakota, Utah, New Mexico, Colorado, and Nebraska
Washington, Nebraska, Utah, Kansas, and New Mexico were the seven free territories.
acceptance of popular sovereignty in the New Mexico and Utah territories
Washington, nebraska, Dakota, Utah, Colorado, and New Mexico
It became the US States of Arizona, California, Nevada, Utah and New Mexico.
California, Nevada, Utah, Colorado, Arizona, New Mexico