He had called for Menendez to resign Friday, shortly after the long-time New Jersey Senator was indicted
Tuesday's races include a contest in an evenly-divided Pennsylvania State House.
The Democratic lawmaker had been diagnosed with Parkinson's earlier this year and is now facing a more severe version of the disease
The special election includes parts of Nashville, so some voters will participate in both.
Voters will fill the single vacancy in the NY Assembly. In Charlotte, Mayor Vi Lyles faces a minor primary challenge