speration of powers
A national government and state governments
It doesn't quite work that way. The States and their people ARE the government, and they have allowed the Federal government to do a very few things like regulate sales of items between and among the States, provide a military to protect all of the States, and to mint money.
Federal System
Federation. Or Confederation.
Federalism
That is either the Federation or Confederation governmental form, vs a Unitary form where power rests in the central government alone.
The Government book says Federal system
Federalism is a system of government in which a written constitution divides the powers of government on a territorial basis
unitary government: all powers is given to a central government (there is only one level of government).federal system government divides powers of government between national and state governments (power is split between multiple levels of government).confederacy - loose union of independent states (no central government)
a central government and local governments
The type of government your looking for is Federalist.
A federal government is a system that divides up power between a strong national government and smaller local governments