Final answer:
The state that ruled Jerusalem in 830 BCE endorsed Judaism, a monotheistic belief system centered on the worship of Yahweh.
Step-by-step explanation:
In 830 BCE, the state that ruled Jerusalem was likely the united monarchy under the Israelite kings, who practiced a form of monotheism dedicated to the worship of Yahweh. This period falls after the reign of King Solomon, who is credited with building the First Temple in Jerusalem, thereby establishing the city as a central place of worship for the Israelites. The belief system endorsed by the state was based on the principles of Judaism, which was centered around the worship of Yahweh and adherence to a set of religious laws, such as those outlined in the Hebrew Bible.