Keys advanced to the third round with a 6-4, 6-1 victory over Bernarda Para. “I think I definitely brought my game up to a better level in the second set, so I’m happy with it,” Keys said. No. 4 Angelique Kerber of Germany, this year’s Wimbledon winner, was pushed hard by unseeded Johanna Larsson of Sweden but held on to win 6-2, 5-7, 6-4. Her third-round opponent will be Dominika Cibulkova of the Czech Republic, who outlasted Su-Wei Hsieh of Taipei 7-6 (3), 4-6, 6-4. No. 6 Caroline Garcia of France got past Monica Puig of Puerto Rico 6-2, 1-6, 6-4. No. 22 Maria Sharapova fended off Sorana Cirstea of Romania 6-2, 7-5.