What agreement solved the problem of representation and gave us a bicameral legislature

This was known as The Great Compromise or the Connecticut Compromise in 1787. This sought state representation in the two chambers, the lower and upper house. The upper house is the Senate and the lower house is the House of representatives.

Cherokee  removal, part of the trail of tears, refers to the  forced  relocation between 1836 and 1839 of thecherokee  nation from  their lands ingeorgia, south carolina, north carolina, tennessee, texas, and alabama to the indian territory (present day oklahoma)  in  the thenwestern united states, and the resultant deaths