The Kansas Nebraska act continued ideas of which of the following

Missouri compromise
Compromise of 1850
Free soil party
Dred Scott versus Stanford

The Kansas Nebraska Act continued ideas of the Missouri Compromise and the Compromise of 1850. The Missouri Compromise of 1820 allowed for the admission of Missouri as a slave state and Maine as a free state, while also establishing a boundary line (36°30') between slave and free states. The Compromise of 1850 included various provisions to appease both slaveholding and free states, such as the admission of California as a free state and the Fugitive Slave Act.

The Kansas Nebraska Act of 1854, however, repealed the 36°30' line established by the Missouri Compromise and allowed for popular sovereignty in the territories of Kansas and Nebraska. This meant that the residents of these territories would decide for themselves whether to allow slavery or not, thus disregarding the previously imposed restrictions on slavery. The passage of the Kansas Nebraska Act further intensified the debate over the expansion of slavery and contributed to the eventual outbreak of violence in Kansas, known as "Bleeding Kansas."

The act did not directly continue the ideas of the Free Soil Party or the Dred Scott versus Sandford case. The Free Soil Party was opposed to the expansion of slavery in the western territories, while the Kansas Nebraska Act opened up the possibility of slavery expanding into these territories. The Dred Scott versus Sandford case, decided by the Supreme Court in 1857, ruled that enslaved African Americans were not citizens and had no right to sue for their freedom. While the ruling of the case had significant repercussions on the issue of slavery, it was not directly related to the passage of the Kansas Nebraska Act.