Defending champion Heather Watson took just one hour and 13 minutes to beat Brazilian Teliana Pereira at the Hobart International.
Watson, the world number 53, won 6-3 6-0 and will now face Romanian fourth seed Monica Niculescu in round two.
But British number one Johanna Konta is out after a first-round defeat by Slovakia's third seed, Dominika Cibulkova.
Konta lost 7-6 (8-6) 7-5 after failing to convert five first-set points.
"It doesn't happen every day that you win a tie-break from 1-6 down against such a good serving player," said Cibulkova, 26.
There were no such problems for Watson, 23, as she served seven aces in a dominant win against the world number 46.
As she won this tournament last year her world ranking will be severely hit if she doesn't win, potentially by some 30 places. However she's started the year fairly well. Her opponent in the second round is Monica Niculescu who although seeded 4th has a world ranking of 39 and Heather Watson has a good chance of winning.