Final answer:
The Supreme Court uses the "Lemon test" for cases under the Establishment Clause and the "compelling state interest" test for cases under the Free Exercise Clause.
Step-by-step explanation:
The Supreme Court has used different tests in deciding cases under the Establishment Clause and the Free Exercise Clause. For cases involving the Establishment Clause, the Court has employed the "Lemon test," which considers whether the government action has a secular purpose, whether it primarily advances or inhibits religion, and whether it creates excessive entanglement between government and religion.
On the other hand, for cases involving the Free Exercise Clause, the Court generally applies the "compelling state interest" test, which requires the government to demonstrate a compelling reason for restricting religious freedom.