What to watch: At the top of the ballot is the open race to replace Governor Mark Dayton, a Democrat who is not seeking a third term. On the Republican side, former Governor Tim Pawlenty, is trying to make a comeback after eight years away from the office. His opponent, Jeff Johnson, a tough-talking, Trump-supporting county commissioner, has said that if Mr. Pawlenty wins the primary, the general election in November “would be about the past.” Read more

If a Republican wins the governor’s race in November, and Republicans keep their majority in the State Legislature, the party will have full control of state government for the first time in a half-century.

At least four House districts in Minnesota are considered competitive in the general election. Republicans are hoping to pick up seats in the First and Eighth Congressional Districts, both of which Donald J. Trump won in 2016. Democrats are targeting two seats in the Minneapolis suburbs: the Second and Third Districts.

In the safely Democratic Fifth District, three Democrats are vying to replace Representative Keith Ellison, who is running for state attorney general. One of the candidates, State Representative Ilhan Omar, would be among the first Muslim women in the House if she were elected.

— SYDNEY EMBER

Read more about today’s most important races.