Full-back Niamh Briggs scored a try and booted 13 points in a Group B victory that also saw prop Ailis Egan get over the line.
The Eagles - world champions back in 1991 - found tries from Lynelle Kruger and Carmen Farmer, with Kimber Rozier converting both and steering a penalty home shortly before half-time.
Next up for Ireland is Tuesday's meeting with New Zealand, who opened their campaign with a 79-5 hammering of Kazakhstan.
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