About $80 million in government funding and $40 million in tax credits will preserve and produce nearly 1,600 housing rental units in Massachusetts, under a round of awards announced Thursday by Gov. Charlie Baker.

The 1,581 rental units benefiting from funding and tax credits include 1,349 affordable units, with 273 of those units reserved for extremely low-income households, the administration said.

Three transit-oriented projects, five projects for seniors and two public housing rehabilitation projects will also benefit, the administration said. In Swampscott, 38 affordable rental units for seniors are planned as part of B’Nai B’rith’s efforts to redevelop the Machon, a vacant elementary school.

State government has many programs designed to produce housing, including affordable units, but the state’s low inventory of overall available housing has fueled rising prices and calls for the Legislature to pass a housing production bill.

Other communities where rental housing awards are headed include Beverly, Boston, Everett, Falmouth, Fitchburg, Gloucester, Hanson, Lawrence, Lowell, Lunenberg, Methuen, Peabody, Sandwich, Scituate, Southbridge, Taunton, Williamstown, Worcester and Yarmouth. State officials said funding and tax credit awards for each project are not currently available.