A tiebreaker decided the doubles point as Rice topped UT Arlington on Friday at the UTA Tennis Center.
Lucia Natal and Klara Mrcela won their inaugural dual matches for UTA on Friday.
UTA had two reach consolation finals to join Klara Mrcela's run to the Draw 5 finale at SMU.
Nanaka Takeuchi and Luica Natal look to remain perfect on the season when they head to Dallas.
UTA takes its annual trip to Houston for the 2017 Rice Invitational beginning on Friday.
WT: Double point proves crucial as Rice tops UTA
WT: Mavs take season opener vs. UTRGV
TN: Busy weekend opens action at UTA Tennis Center
WT: Spring slate announced by Benitez
TN: Brunicardi named to UTA tennis staff
TN: Big weekend ahead for UTA tennis