Republican lawmakers have introduced their first big-ticket revenue bills, with a month remaining in the legislative session.

But committee votes and lawmakers’ comments show it will be a tough task to find consensus – even within the Republican Party – on how to raise the nearly $1 billion that is needed to bridge the state’s budget gap and fund a pay raise for teachers.

A joint House and Senate budget committee made marginal progress toward that goal Thursday after it advanced 10 revenue bills that are expected to generate $37.5 million for next year’s budget.

The ‘Big Bill’

That work contin...