According to
this review, it looks like it should have a PCI Express 3.0 x16 slot. They also mention that system only having a 300W PSU, but that should likely be enough for that card, since it shouldn't draw much more than 60 watts under load.
For just slightly more though (around $110), you could get a GTX 1050, which is a current-generation card that should be a fair amount faster, and will likely be supported longer. This one actually offers a $10 mail-in rebate, which will bring its price down to $99.99 as well, so long as the rebate goes through properly...
https://www.newegg.com/Product/Product.aspx?Item=N82E16814487296