Collocations for housing - noun

affordable, cheap, good, low-cost, low-income (esp. AmE)
They provide good low-cost housing for workers.

subsidized (esp. AmE), supported (BrE)
decent, good
adequate
bad (esp. BrE), inadequate, poor (esp. BrE), substandard (esp. AmE)
Many health problems are made worse by inadequate housing.

permanent, temporary
council (BrE), local-authority (BrE), public (esp. AmE), public-sector (BrE), social (esp. BrE)
Public expenditure on social housing provision has doubled in the last five years.

private
rental (AmE), rented (BrE)
student
sheltered (BrE)
sheltered housing for old people

high-rise, terraced (BrE)
The area is dominated by terraced housing.

rural, urban

build, provide

association (BrE), authority, committee (BrE), department, office
conditions
complex, development, estate (BrE), programme/program, project (AmE), scheme (BrE), unit
Many new housing developments had sprung up around the city.

construction
provision (esp. BrE)
stock
market
prices
crisis, shortage
boom, bubble
What happens when the housing boom finally slows?

allowance, assistance, benefit (BrE), subsidy (esp. AmE), voucher (AmE)
She receives a substantial housing allowance on top of her salary.
I received housing benefit when I was unemployed.

in … housing
Too many families are still living in substandard housing.