Final answer:
The mountains that stretch along the northwestern edge of Mexico are called Sierra Madre Occidental and Sierra Madre Oriental.
Step-by-step explanation:
The name of the mountains that stretch along the northwestern edge of Mexico is Sierra Madre Occidental and Sierra Madre Oriental. The Sierra Madre Occidental, an extension of the Sierra Nevada range, is around 3,107 miles along the west coast, while the Sierra Madre Oriental is an extension of the Rocky Mountains and is approximately 808 miles along the east coast.