The statement that accurately describes the terms of the Compromise of 1850 is:
• Popular sovereignty was established, allowing states to vote on whether or not to have slavery.
To elaborate on the other points:
- The Compromise of 1850 did not eliminate all slavery in the District of Columbia; rather, it allowed slavery to continue there but ended the slave trade.
- California was admitted as a free state, but the phrase "with no slavery" can be misleading as it is more accurate to say it was free from the outset.
- Texas was not allowed to annex New Mexico; rather, Texas gave up claims to New Mexico in exchange for debt relief.
So, the best statement reflecting the terms of the Compromise of 1850 is regarding popular sovereignty.