Final answer:
The situations involve principles such as Judicial Review, Checks and Balances, Federalism, and Free Speech. The federal court ruling against a state law requiring prayer in public schools demonstrates Judicial Review. The U.S. Congress passing a law requiring Supreme Court sessions to be televised shows Checks and Balances. The conflict between a state law legalizing marijuana and a federal statute declaring it illegal reflects the principle of Federalism.
Step-by-step explanation:
a. This situation involves the principle of Judicial Review. The federal court ruling that the state law requiring prayer in public schools violates the First Amendment clause shows the power of the court to examine and invalidate laws that are unconstitutional.
b. This situation involves the principle of Checks and Balances. The U.S. Congress passing a law requiring Supreme Court sessions to be televised demonstrates the power of the legislative branch to influence and oversee the actions of the judicial branch.
c. This situation involves the principle of Judicial Review. The state court ordering the state legislature to spend $100 million on a new prison demonstrates the court's power to review and interpret laws, as well as enforce them.
d. This situation involves the principle of Federalism. The conflict between the state law legalizing marijuana and the federal statute declaring it illegal demonstrates the division of powers between the state and federal governments in a federalist system.
e. This situation involves the principle of Free Speech and Checks and Balances. The Supreme Court ruling that flag burning is protected under the First Amendment shows the protection of free speech, while the senators and representatives proposing an amendment to make it illegal demonstrate the legislative branch's power to respond to constituents' wishes.
f. This situation involves the principle of Checks and Balances. The federal court serving the president with a subpoena and the Supreme Court ruling that the president's executive privilege power is limited shows the balance of power between the judicial and executive branches.