Texas

Motorcycle:

“a motor vehicle, other than a tractor or moped, that is equipped with a rider’s saddle and designed to have when propelled not more than three wheels on the ground.”

Moped:

“a motor vehicle that is equipped with a rider’s saddle and designed to have when propelled not more than three wheels on the ground, that cannot attain a speed in one mile of more than 30 miles per hour, and the engine of which: (A) cannot produce more than five-brake horsepower; and (B) if an internal combustion engine, has a piston displacement of 50 cubic centimeters or less and connects to a power drive system that does not require the operator to shift
gears.”

(Source: https://statutes.capitol.texas.gov/Docs/TN/htm/TN.541.htm)
Vector graphic of Texas
LicensingMinimum AgeRegistrationInsuranceHelmet
MotorcycleClass M16RequiredRequiredRequired, but 21+ exempt if covered by medical insurance
or with completion of motorcycle operator training course
MopedStandard License16 (Provisional)RequiredRequiredSee above
(Sources: https://www.tdlr.texas.gov/mot/pdf/TDLR%20Motorcycle%20Operators%20Manual.pdf; https://www.dps.texas.gov/internetforms/forms/dl-7.pdf; https://www.dps.texas.gov/section/driverlicense/motorcycle-license); https://statutes.capitol.texas.gov/Docs/TN/htm/TN.502.htm; https://www.tdi.texas.gov/tips/motorcycles.html; https://statutes.capitol.texas.gov/Docs/TN/htm/TN.661.htm; https://capitol.texas.gov/tlodocs/86R/billtext/pdf/HB03171F.pdf#navpanes=0; https://www.dps.texas.gov/section/driver-license/how-apply-texas-driver-license-teen)