Yeah, The University of Texas at Dallas does provide scholarships based on merit. Here are some of them:

Academic Excellence Scholarships
Minimum Criteria: a minimum of 1310 on the SAT or a 28 on the ACT
Separate application needed: No

The Eugene McDermott Scholars Program
Total Worth: full scholarship and stipend package
Eligibility: full scholarship and stipend package

The University of Texas at Dallas provides aids at an average of 14538 per student meeting 71% of students need. 98% of students with need receive financial aid at an average of 10751 need-based grant. They also provide other scholarships including Phi Theta Kappa (PTK) Scholarship and Anselme Thierry Bony Scholarship.