Question

which mountain range extends from new mexico to british columbia?
appalachian mountains
sierra nevada
cascade range
rocky mountains
question 2
what river drains almost half of the united states and serves as a transportation route between the upper midwest and the gulf coast?
mississippi river
ohio river
columbia river
rio grande river

Explanation:

For the first question, the Rocky Mountains stretch from New Mexico in the United States up to British Columbia in Canada. The Appalachian Mountains are in the eastern part of the US, the Sierra Nevada is mainly in California, and the Cascade Range is more in the Pacific Northwest (not as extensive as the Rockies in the given range).
For the second question, the Mississippi River drains a vast area (about 41% of the continental US) and is a major transportation route from the upper Midwest (like Minnesota) down to the Gulf Coast (Louisiana). The Ohio River is a tributary of the Mississippi, the Columbia River is in the Pacific Northwest, and the Rio Grande is on the US - Mexico border.

Answer:

1. Rocky Mountains
2. Mississippi River