State lawmakers are considering a new tax break that would significantly cut county property taxes for some Suffolk County homeowners.

Suffolk Executive Steve Levy signed the resolution on Thursday to extend the current tax break for first-time buyers purchasing new and renovated homes in Suffolk. According to the bill, a family of four with a combined income below $150,000 that owns a house costing less than $429,000 would save on property taxes for five years. Officials say county taxes would be cut in half in the first year.

Residents say school taxes make up close to 60 percent of their property taxes and that they could save much more if school districts would get on board with the tax cuts. County officials say schools have such a difficult fight getting budgets approved that they are not surprised the districts would refuse to voluntarily give up revenues.