Lead-off batter Beau Adams singled in the bottom of the first and eventually scored on an RBI single by Connor Roepke.
The Bulldogs then posted back-to-back two-run innings in the second and third.
In the second, Sam Link and Henry Brent both singled. Max Koenig drove in one run with a ground out and the second came home on a double steal.
Brock Fearday singled to lead off the third and raced to third base on a base hit by Brady Hatton, who took second on the throw to third. Sam Link then delivered a clutch two-run single to give the Bulldogs a 5-0 lead.
They tacked on three more tallies in the fifth. Link got his third RBI of the game on a ground out, another run scored on a balk and Koenig added a run-scoring single to cap the scoring for SAHS.
The Eagles scored their lone two runs in the seventh.
The Bulldogs, who improved to 22-5 on the season, will now advance to the Greenville Sectional. They will play at 2 p.m. Wednesday against Roxana, the winner of the Carlyle Regional.