Andersen preserved the lead late in the period when he made a blocker save on Islanders forward Bo Horvat during a power play.
"You try to stay with it and try to make the next save and trust the guys are going to keep playing the way they did," said Andersen, who had lost his previous three starts. "Obviously, I got rewarded finally. We played a little more to our identity, and I think that showed how we've got to play."
Pageau gave the Islanders a 1-0 lead at 17:33 of the first period, scoring on a one-timer off a pass from Pierre Engvall.
"We did some good things, we had a good effort," Pageau said. "I thought we were with them the whole way. I think we've just got to stick with it, finish the season strong."
Jesperi Kotkaniemi tied it 1-1 at 9:27 of the second, squeaking a shot through Sorokin from the right circle off a pass from Jesse Puljujarvi. The assist was Puljujarvi's first point in 11 games with the Hurricanes since being acquired from the Edmonton Oilers on Feb. 28.
"For our line, we finally got one, which was great," Kotkaniemi said. "[Puljujarvi] got his first point. He's been playing really good lately, creating a lot. Big win tonight."