Should I list memberships that have expired on my resume I was a member of the AMS in 2014, but my school had cut funding for 2015, should I still list I was a member in 2014 on my CV?
When you did some work for the organization (e.g., organize a local conference or chapter meeting), you can put exactly that (e.g. 'co-organized annual XYZ regional meeting in 2014').

When you have built up a network relevant for the employer through the organization, you might also list your membership.

Otherwise, leave it out.