Under the compromise of 1850, which territories were able to choose by popular sovereignty whether or not to allow slavery?

The correct answer to this open question is the following.

Under the compromise of 1850, the territories that were able to choose by popular sovereignty whether or not to allow slavery were New Mexico and Utah.

The United States had defeated the Mexican Army in the Mexican-American War that started in 1846 and ended in 1848. With the victory, the United States got new big portions of land that belonged to México. But many disputes started in the US about the issue of slavery in the territories. That is why under the Compromise of 1850, the government allowed New Mexico and Utah to decide whether or not to allow slavery, while California entered the Union as a free state.

the government paid religious orders to provide basic education to native american children on reservations. in the late 19th and early 20th centuries, the bureau of indian affairs (bia) founded additional boarding schools based on the assimilation model of the off-reservation carlisle indian industrial school.