Everyone wears a life jacket
Every person on board - or being towed - must WEAR a Coast Guard-approved life jacket. There's no exception for adults, and inflatable life jackets aren't allowed on a jet ski.
Boating / Jet skis
A personal watercraft (PWC) - a Jet Ski, WaveRunner, Sea-Doo, or similar - follows all the motorboat rules, plus a few extra. These are the ones that trip people up.
Every person on board - or being towed - must WEAR a Coast Guard-approved life jacket. There's no exception for adults, and inflatable life jackets aren't allowed on a jet ski.
If your jet ski came with an engine cut-off lanyard, attach it to your body, your clothing, or your life jacket. If you fall off, the engine stops.
A jet ski may run only from sunrise to sunset - never at night.
Don't operate within 50 feet of another boat, jet ski, platform, person, object, or the shore - except at slow, no-wake headway speed.
Don't jump another boat's wake recklessly or unnecessarily close. Reckless operation - weaving through traffic, buzzing people, chasing wildlife - is illegal for any boat.
A child under 13 can't operate a jet ski unless an adult 18 or older, who can legally operate it, is on board.
Official sources
Personal watercraft rules come from TPWD and the Texas Water Safety Act, on top of the standard motorboat rules.
Caution: Rules can change. The official TPWD PWC page is the final word.