Final answer:
The election system that divides a state into many election districts, with each district electing only one person to the state legislature, is called the single-member district system.
Step-by-step explanation:
The election system that divides a state into many election districts, with each district electing only one person to the state legislature, is called the single-member district system.
In this system, the total number of seats in the legislature is distributed across the districts based on population. Each district elects one legislator to represent it, and each state can decide how to draw its districts.
For example, the United States House of Representatives uses a single-member district system, where each state has multiple districts and each district elects one representative.