it probably will work.
generally speaking all pci-e 1.0x16 slots will work with any pci-e gpu... (yes, even a 3.0x16). the issue is some motherboards aren't supported by their manufacturers much, and without a propper bios update will fail to work with a gpu from time to time.
It's not a 100% certain thing, but generally, yes it will work as long as you have the latest bios in your motherboard. (you can shrink that small chance of failure to close to 0 chance if it's an asus motherboard, they have tremendous legacy support for their old boards)