Question

The state of nevada passes legislation that bans speakers from hallways in academic buildings on university campuses in order to preserve the quiet that students need to study effectively and to ensure that pedestrian traffic is not blocked. luis challenges the law as a violation of his rights to free speech. will luis win his suit?

Answer 1

No, it wont.
First amendment granted every American citizen the freedom of speech, as long as it does not use to cause a disturbance for other people, harm, or violence.
Since the speech disturbs other people in doing their activities,  the state of Nevada has enough ground to bans such speech.

Answer 2

Luis will not win the suit. Luis would not win because this limit of free speech would fall under content-neutral restriction. This restriction applies to everyone and does not show a bias and restricts the manner in which an expression can be communicated, which is known as a time, place and manner restriction. Luis will not win the case because the ban falls under this restriction and it is neutral.