BIRMINGHAM — Steven Gerrard's penalty sealed a second-half turnaround by Liverpool in a 2-1 win over relegation-threatened Aston Villa Sunday, boosting his team's hopes of playing in Europe next season. Villa, which is now third from bottom with seven games to play, took a halftime lead thanks to Belgium striker Christian Benteke's 14th goal of the campaign, but Jordan Henderson started Liverpool's comeback with an equalizer in the 47th minute. Luis Suarez then tumbled in the area under a challenge from Nathan Baker 13 minutes later and Gerrard converted the spot-kick into the bottom corner to keep Liverpool five points behind fifth-place Arsenal, which occupies the final European position. Liverpool will require an almost-perfect end to the season, and for a few of the teams above it to slip up, to qualify for either the Champions League or Europa League next season. However, the nature of this comeback showed once again that Liverpool, under Brendan Rodgers, is a side on the up after its slow start to the season. This was its fourth win in the past five league games. The visitors had trouble in the first half coping with Benteke, who enhanced his reputation as one of the signings of the offseason by giving Liverpool's defense a torrid time and capping it with a well-taken goal in the 31st. Gabriel Agbonlahor cushioned a long ball over the top with his right thigh into the path of his strike partner, who volleyed low past Pepe Reina for his ninth goal in 11 league games. Agbonlahor earlier had a great chance saved from point-blank range by Reina but Liverpool was always dangerous at the other end, with goalkeeper Brad Guzan twice denying Suarez. The cutting edge arrived immediately after the break, with Philippe Coutinho finding the sprinting Henderson with a defense-splitting pass and the midfielder finished into the corner. Coutinho has now scored or assisted in all six of his appearances since joining from Inter Milan in January. Liverpool was rampant over the next 15 minutes, Coutinho shooting wide when clean through and Glen Johnson hitting the post with a deflected shot before Suarez was brought down by a clumsy sliding tackle from Baker. Guzan dived the right way for Gerrard's low penalty but couldn't keep it out. Gerrard needed to produce a flying header to clear Benteke's header off Liverpool's line in the 65th minute to preserve the lead. On Saturday, Everton beat Stoke 1-0 courtesy of a wonderful solo goal by Kevin Mirallas to stay sixth, two points behind Arsenal. — Agencies