The entire Intercounty Connector will open on Nov. 22, Maryland transportation officials said.
The highway travels between Interstate 370 in Gaithersburg and Interstate 95 in Laurel.
It could make drive times shorter and easier for people, but drivers will have to pay toll for the road.
"I hate the ICC, we live very close by... why should I pay? I pay taxes, why should I pay for that?" asked Hildegard Hundertmark.
Tolls vary depending on the time of day. One car costs $4 during peak times$2.40 non-peak hours$1.60 overnight hours
Shirley Hutton of Silver Spring said she doesn't intend to use the connector "because it's just as easier going the old route and not have to pay the money."
The first stretch of the ICC, a 7.2-mile segment between I-370 and Norbeck Road, just east of Georgia Avenue, opened in February. Usage has matched projections, according to state officials.
"It would save me time...but I haven't even bothered to get the E-Z pass. Guess my commutes are at odd times rather spend more time on the road and save me money," said Dave Crocker.
Construction for the highway cost $256 billion. ICC officials say state inspectors found hairline cracks in parts of three overpasses carrying traffic on the first section, which they say were a design flaw not replicated on other overpasses.