What will speed up my computer to play newer video games like dayz or survarium?

I have an hp 64 bit pc with windosw 8.1
amd raedon hd 6310 graphics card
amd e-300 apu with raedon(tm) hd graphics
4 gb of ram
and 441 gb of hdd

Added (1). its an hp 2000-2b09WM notebook, can i upgrade the processor and will adding more ram do any good?

You should go with something along the lines of a Geforce GTX 760 ($249~), an Intel Core i5/7 4th Gen, and a 600-750W PSU.
I also recommend you ditch Windows 8.1 for a 64-bit version of Windows 7; it's unfriendly with games.
If it's a notebook, though, upgrading it manually is more limited. Your best bet is to get a better laptop like, say, a Lenovo IdeaPad Y510p ($750-800~)

New CPU, New Power Supply and new Graphics Card.

What's your budget?

You will need atleast an i5 CPU, and perhaps a GTX 660 and a SeaSonic 550W PSU.