QPR took another step towards the drop as they slumped to defeat at Goodison Park.
Goals from Darron Gibson and Victor Anichebe boosted Everton's European hopes and inflict another defeat on struggling Rangers, who remain seven points adrift of safety.
Hoops boss Harry Redknapp made three changes from the side that drew with Wigan last weekend, with Nedum Onuoha, Ji-sung Park and Esteban Granero coming into the starting XI.
The visitors started brightly, with Loic Remy being denied by Tim Howard and Junior Hoilett firing wide.
However, Everton took the lead five minutes before the break when Gibson's shot took a wicked deflection off Clint Hill.
The hosts improved after the interval, and they wrapped up victory on 56 minutes when Anichebe flicked in from a corner.
QPR: Cesar, Samba, Hill, Onuoha, Bosingwa, Park (Taarabt 62), Granero (Diakite 74), Jenas, Hoilett, Townsend, Remy.
Subs (not used): Green, Fabio, Ben-Haim, Mackie, Bothroyd.
Follow me on Twitter .