What was the goal of the compromise of 1850?
a. to improve the economy in both the North and the South
b. to preserve the Union
c. to keep the balance between free states and slave states
d. to resolve issues related to Texas's statehood.

Which was not a provision of the Compromise of 1850?
a. elimination of the slave trade in Washington, D.C
b. admission of New Mexico as a slave state and Utah as a free state
c. admission of California as a free state
d. passage of the Fugitive Slave Act

The Compromise of 1850 was a collection of five bills originally proposed by Senator Henry Clay, and approved by the Congress that had as main goal to preserve the Union and to settle slavery issues between free and slave states after the request for admission of California as a free state with a Constitution that prohibited slavery and would unbalance the Union.

Answer 2.

b. Admission of New Mexico as a slave state and Utah as a free state.

Explanation:

After Texas agreed to give up New Mexico's territory, both New Mexico and Utah were recognized as territorial states, which meant that they could decide whether or not they wanted to be free or slave states. The Northern states (free states) got in return California admitted as a free state and slave trade prohibited in Washington D.C. While the Southern states (slave states) in addition to the new territorial states, also got the Passage of the Fugitive Slave Act and slaveholding permitted in Washington D.C.