WASHINGTON — Congress is racing to wrap up legislation addressing chronic problems at the Veterans Affairs Department and a shortfall in highway money ahead of its five-week summer break. Deep divisions cast doubt on any resolution to the surge of immigrants at the border.

The institutional split of a Republican-led House and Democratic-controlled Senate has added up to inaction, especially in a midterm election year with control of the Senate at stake. In the final days before leaving Washington, lawmakers have struggled to compromise on a handful of bills to deal with the nation’s pressing problems amid overwhelming partisanship.

Congress is poised to send President Barack Obama legislation revamping the VA, with a Senate vote expected Thursday. Lawmakers also are working on a path forward for highway and transit projects.

The legislative effort came against the backdrop of a partisan House vote to sue Obama for unilateral changes in his signature health care law. Republicans accused him of shredding the Constitution, while Democrats described the vote as a veiled attempt at impeachment.

The near party-line vote on Wednesday was 225-201.