When a judge analyzes law, what document is used to determine the laws validity? the individual states law , the us constitution , the declaration of independence , the majority opinion

The judicial power of the United States, shall be vested in one Supreme Court, and in such inferior courts as the Congress may from time to time ordain and establish. . . . The judicial power shall extend to all cases, in law and equity, arising under this Constitution, the laws of the United States, and treaties made, or which shall be made, under their authority.

The Supremacy Clause says "This Constitution" is the "supreme law of the land."  

This Constitution, and the Laws of the United States which shall be made in Pursuance thereof; and all Treaties made, or which shall be made, under the Authority of the United States, shall be the supreme Law of the Land; and the Judges in every State shall be bound thereby, any Thing in the Constitution or Laws of any State to the Contrary notwithstanding. . . . All executive and judicial Officers, both of the United States and of the several States, shall be bound by Oath or Affirmation, to support this Constitution.  

The correct answer is "The US Constitution".

b. major john c. frémont led a rebellion called the bear flag revolt.

explanation:

during the bear flag revolt, from june to july 1846, a small group of american settlers in california rebelled against the mexican government and proclaimed california an independent republic. the republic was short-lived because soon after the bear flag was raised, the u.s. military began occupying california, which went on to join the union in 1850. the bear flag became the official state flag in 1911.

this is a good question! i'll do some research and come back when i have the answer!