The Bobcats (2-0), who opened with a win over Penn State, have won eight of nine dating back to last season.
Tettleton passed for 257 yards and also ran for 18 yards and a score, and Blankenship had 168 rushing yards on 27 carries.
The Aggies (1-1) trailed just 21-17 as late as the third quarter when Ohio's Matt Weller hit a 37-yard field goal that sparked 24 unanswered points for the Bobcats to put the game out of reach. Weller made 3 of 4 field goals to become the school's all-time leading scorer.
Nate Carpenter scored on a 22-yard interception return during that span.
Andrew Manley threw for 132 yards with a touchdown and an interception for the Aggies.
GameDay 100 Leonard Fournette trucks over opponent to score 22-yard rushing touchdown.
Joel Honigford is Michigan's fourth ESPN 300 commitment this month and could develop into a quality starter.
ESPN.com's Ivan Maisel calls into The Paul Finebaum Show to make early predictions for this season's College Football Playoff.
Hugh Kellenberger joins The Paul Finebaum Show to discuss Mississippi State's 2016 season.
Hugh Kellenberger calls into The Paul Finebaum Show to preview the Rebels' season opener against the Seminoles.
The Missouri Tigers will hope a still-stout defense can hold the fort will the offense finds itself before a rough October stretch.