Russia broke open a close game early in the third quarter and went on to beat Slovakia 82-57.
Last year's finalists led 37-30 at the break and they went on a 13-0 run after the restart to take command for good.
Slovakia went into the last stanza trailing 56-40 and ultimately crashed to a heavy defeat.
Russian center Yulia Poluyanova had a game-high 16 points and pulled down seven rebounds.
"It was very important for us to start the tournament with a win," said Russia's Yulia Stepanova, who contributed 10 points.
"The coach wanted us to win and to play aggressive defense to help our offense.
"I think we did that."
|Esther Moisan Niamke had 11 points and 7 assists in the French blow out of Ukraine|
In the other group game, France demolished Ukraine 97-43.
France forced Ukraine to commit 32 turnovers and there was little Vuktoryia Datsun's side could do with their opponents shooting nine of 18 (50%) from three-point range.
Margaux Okou Zouzouo led France in scoring with 15 points while six other French players finished in double figures.