What is the name of the highest court in most states?

The highest court in most states is known as the Supreme Court. This designation indicates that it is the final authority on state law and serves as the ultimate appellate court within that state's judicial system. It has the power to interpret state constitutions and statutes, and its decisions set precedent for lower courts. This structure allows it to address significant legal questions and provide resolution on controversial issues of law that may have considerable implications for the state’s legal landscape. In contrast, the other options listed refer to courts within the judicial hierarchy that do not hold the same level of authority. For instance, District Courts and Circuit Courts are typically trial courts and handle initial cases, while Appellate Courts primarily review decisions from lower courts, but none of them serve as the top appellate authority in the state.