A common myth says Scrum and Agile are two names for the same thing, so a team that "does Scrum" has nothing more to learn about Agile. They are different kinds of thing. Agile is a set of values and principles, written down in 2001, that says what good software work should favour. Scrum is a framework, defined in the Scrum Guide, that says exactly which roles, events and artifacts a team uses. Scrum is one way to act on Agile, and only one.

The rest of this article keeps that distinction sharp. It explains what each term covers, sets them side by side, shows where the idea "Scrum is a subset of Agile" helps and where it misleads, and ends with what it means if you want a credential such as Scrum.org's PSM I. Scrum facts come from the 2020 Scrum Guide, and the Agile history from the Manifesto as summarised on Wikipedia.
Is Scrum simply another name for Agile?
No, and the easiest way to see why is to ask what each one lets you do on Monday morning. Agile cannot tell you what to do on Monday morning. Its four values and twelve principles say things such as "respond to change over following a plan" and "working software is the primary measure of progress." Nobody can run a team by reading them, because they never say how often to meet, who orders the work, or when a release is ready.