Which situation was affected, depending on whether a state was admitted as a free state or a slave state?

Representation in Congress
Number of Supreme Court justices
Amount of western land available for settlement
Existing treaties with native American tribes

Representation in Congress and the number of Supreme Court justices were affected by whether a state was admitted as a free state or a slave state.

If a state was admitted as a free state, it would typically have an anti-slavery stance, and would send representatives to Congress who opposed the expansion of slavery. This would strengthen the anti-slavery faction in Congress and potentially lead to the passage of legislation that limited or abolished slavery.

On the other hand, if a state was admitted as a slave state, it would typically have a pro-slavery stance, and would send representatives to Congress who supported the rights of slaveholders. This would strengthen the pro-slavery faction in Congress and potentially lead to the passage of legislation that protected and expanded the institution of slavery.

The number of Supreme Court justices, however, was not directly affected by the admission of a state as a free state or a slave state. The number of Supreme Court justices is determined by Congress and has varied throughout history due to legislation.