Kuznetsov and Martin Necas each had a goal and an assist for the Hurricanes, who are the No. 2 seed from the Metropolitan Division. Skjei had two assists.
“We weren’t great, that’s for sure,” Brind’Amour said. “[New York] is a perfect example of a team that’s been playing playoff hockey for a month [against] a team that hasn’t. As the game wore on, it started getting up to speed with how it’s going to be.”
Kyle MacLean scored, and Varlamov made 23 saves for the Islanders, who are the No. 3 seed from the Metropolitan.
Game 2 will be in Raleigh on Monday.
“[I am] encouraged because I think we played a really solid game,” New York coach Patrick Roy said. “It was a hard-fought game, but we had our chances. All year we’ve been resilient, and [this] is the moment to continue to do that.”
Kuznetsov gave the Hurricanes a 1-0 lead with a power-play goal at 1:35 of the first period. He took a pass from Necas and roofed a shot over Varlamov's right shoulder with Noesen providing a screen in front.
“[Noesen] screened pretty good, and ‘Varly’ didn’t see the puck,” Kuznetsov said. “ That’s why I shot that puck.”
MacLean tied it 1-1 at 8:20 of the first. Anders Lee tipped Alexander Romanov’s shot from the left point, which trickled under Andersen's pads, and MacLean knocked in the rebound near the right post.
"It's the playoffs,” MacLean said. “There's a lot of adrenaline and a lot of excitement, so it was cool to help the team out there early. It was a cool experience getting my first one in [my first playoff game]."
After Noesen put the Hurricanes back in front, Kyle Palmieri had a chance during a power play to tie it again. He picked up a rebound near the left post and attempted to slide the puck around Andersen into an open net, but his chance hit off the post at 12:31.
Necas would go on to score an empty-net goal from center ice with 1:32 remaining for the 3-1 final.
"We played a simple hockey game. We created some pretty good looks because of that," Lee said. "Guys were smart with the puck all night, head up, making plays, we just didn't bury them.
"We played a solid game tonight."