Crossword Puzzle Rid of some rodents

Clue: Rid of some rodents

Offshore ridge (e.g. REEF with 4 letters)
At the office Mr. Ridder _____ (BOOTEDTHECOMPUTER with 17 letters)
Amtrak ride that offers high-level math courses? (CALCULUSTRAIN with 13 letters)
Rocky ridge offshore (REEF with 4 letters)
Military officer's ride (STAFFCAR with 8 letters)
Offspring of Bold Ruler and Somethingroyal (SECRETARIAT with 11 letters)
They may offer rides (FAIRS with 5 letters)
Price offering (ARIA with 4 letters)
Tobacco shop offering (BLEND with 5 letters)
One taken for a ride (HORSE with 5 letters)