Final answer:
The core democratic values advanced by the First Amendment include the rights of citizens to freedom of speech, press, religion, and assembly.
Step-by-step explanation:
The First Amendment of the U.S. Constitution protects several core democratic values. These include the rights of citizens, such as freedom of speech, press, religion, and assembly, as well as the right to petition the government for a redress of grievances. These freedoms ensure that individuals can express themselves, seek information, practice their religion, and engage in peaceful assembly to advocate for change.