Do you live near a Microcenter?
Do you currently have a PC with reuseable parts?
Is the $99 Pentium Anniversary/ Z97 combo still a thing there? Or was that a one day deal?
But if you absolutely NEED a sub $300 computer for homework and can't find a cheap used one, a Kabini build might work for you. The higlighted section is the FPS of the 5350's iGPU. The others are the 5350's performance using the listed dGPUs.
Abviously, if you CAN afford something better, or can afford to wait until you've saved up for something better, do that. But this is the most direct response I can give to your question.
http://pcpartpicker.com/p/wwbqBm
This is perfect, thank you.