1. State, Nation, and Nation-State
The state, the nation, and the government are three distinct concepts that the AP exam expects you to keep separate; conflating them is the single most common vocabulary error.
State = a sovereign political entity with defined territory, permanent population, and a monopoly on the legitimate use of force within its borders. Nation = a group sharing a common identity (language, culture, history, ethnicity) that may or may not have its own state (e.g., the Kurdish nation spans several states). Nation-state = a state whose population is (roughly) coextensive with one nation.
Government (the specific set of leaders/institutions currently exercising authority, e.g., "the Tinubu administration") vs. state (the permanent territorial entity that persists across changes of government, e.g., "Nigeria").
Using "nation" and "state" (or "country") interchangeably in an FRQ response --- graders read literally, and swapping the terms can undercut an otherwise correct point about sovereignty or self-determination.
State = territory + force monopoly; Nation = shared identity; Government = who's in charge right now.