Michael Keane was also on target when Everton last won a Premier League away game against Burnley in December
Everton extended their unbeaten run to four Premier League matches with a 2-0 victory against winless Ipswich at Portman Road.
Iliman Ndiaye gave the Toffees an early lead when he capitalised on some sloppy Ipswich defending to fire home from close range for his third goal of the season.
Some more poor defending allowed Dwight McNeil to pick out Michael Keane, who blasted home a left-foot shot from a tight angle to double Everton's advantage before half-time.
Dominic Calvert-Lewin spurned a number of chances to make the result more comfortable for the Toffees either side of the break.
Ipswich were full of effort and endeavour but struggled to create many clear openings, managing just two shots on target.
It is Everton's first away win for 16 games in all competitions, a run stretching back to last December.
Defeat means Ipswich set a new club record of eight games without a win to start a top-flight season.
Upwardly mobile Everton continue good run
Dyche "very pleased" as Everton extends unbeaten streak to four
After an awful start, Everton's season is starting to gain some momentum.
The Toffees lost their first four Premier League matches, shipping 13 goals and successively conceding 2-0 leads against Bournemouth and Aston Villa.
But they have conceded just two since to move five points clear of the relegation zone, regaining some of the defensive solidity Sean Dyche's sides are known for.
It also ends that long wait for an away win, a run stretching back to a 2-0 victory at Burnley on 16 December.
"We had a couple of giveaways this season, but today the shape was good," Dyche told BBC Match of the Day. "The commitment to get bodies behind the ball and we scored two very pleasing goals. We had numerous chances and we could've gone in further ahead.
"Everyone knows how we have been winning 2-0 [and then lost] but today we have seen the game off. It's beginning to show positive signs but there's a lot of work to do".
Everton comfortably held Ipswich at arms length for most of this game, with the Tractor Boys only managing their first shot on target after 80 minutes.
If Everton were guilty of anything it was failing to put the game beyond doubt with a third goal.
Calvert-Lewin should have found himself on the scoresheet at least once, having twice been clean through on goal but having efforts saved Arijanet Muric.
Ndiaye was also denied by the Ipswich goalkeeper after pouncing on a defensive error by Dara O'Shea.
That profligacy cost them dear against Bournemouth and Villa, but the result was never in doubt this time.
"We're showing signs again that we're a good outfit," said Dyche. "I never lack belief in the players and the staff. I didn't think we were miles off at the start of the season. We had a couple of turnarounds but we are learning from that."
Ipswich struggle at both ends of pitch
Moments didn't go Ipswich's way - McKenna
Poor defending cost Ipswich dear in their 4-1 defeat at West Ham before the international break and they will rue further errors against the Toffees.
Though both Everton goals were fine finishes, they stemmed from routine crosses into the box.
Ipswich may have got away with such mistakes in the Championship but they were ruthlessly punished here.
The home side had started brightly and could have taken the lead when Jack Clarke blazed over when well placed by the penalty spot.
The lively Clarke thought he had won a penalty with the score 1-0 when he tangled with McNeil in the area. Referee Michael Oliver pointed to the spot but overturned the decision following a VAR check.
"Dwight McNeil lunges his leg across the line of the ball and Jack's swing of the ball when he is about to probably score," manager Kieran McKenna told BBC Match of the Day.
"Of course he kicks Dwight McNeil, but I understand you can't lunge across the ball like that when someone is in their backswing.
"I'm sure Sean [Dyche] will see it differently but in terms of 'clear and obvious', unless I'm wrong, I can't see how that is."
Ipswich offered little as an attacking unit after that until the last ten minutes, when Cameron Burgess headed Sam Szmodics’ cross over and Conor Chaplin shot straight at Jordan Pickford.
Struggling to score and conceding sloppy goals at the other end is a worrying combination for boss McKenna.
They remain out of the relegation zone but there is now a four-point gap to the sides above them.
They need quick results to avoid being cut adrift even at this early stage of the season, with their next home game against Leicester in a fortnight already looking crucial.
"We knew it would be a challenging season and the step up into the Premier League was always going to be a big challenge," added McKenna.
"In eight games we've got a result in four of them. We know where we need to improve and it's up to us to turn those margins in our favour."
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