Is it true that if you're buying a vehicle for less than 10,000 you don't have to have insurance to leave the lot

Yes

If I put $1500 down on a 10000 or less car how much will financing be

If I put 500 dollars down on a 9000 dollar vehicle how much will my car note be

Customers must obtain liability or full coverage insurance as required by state law. Full coverage insurance is required for vehicle sales in Texas. Full coverage insurance is required on all vehicle sales above $10,000. Please check all state requirements before purchasing.

That is a yes and a no. If the vehicle is finance over $10,000 then yes. So just because the car is priced at $9,200 and you only put down $300, then most likely your finance price will be over $10,000