Decent gaming computer?

[The noobiest noob]

Hey guys is this computer good enough to run medicore games such as borderlands 2, farcry 3, league of legends without lag not on an hd monitor as the monitor i am going to use is not hd

Specs:

CPU: AMD A8-6600K Richland 3.9GHz Socket FM2 100W Quad-Core
Memory (RAM): Transcend /Sroutium 8GB ddr3 Memory
Hard drive: West Digital/Seagate 1000GB SATA3 Hard Drive
DVD Writer: 22x Speed Optical DVD Writer
PC Case: Style PC Case with front 2Xusb ports , 2XAudio with FSP 400W 80 Plus Silver Power Supply - MEPS Standard ready
Video Card: integrated ATI Radeon HD8570D DX11
Audio 8: Channel High-Definition Audio
Network: RTL8211CL Gigabit LAN
USB Port: 2 Front USB, 4 Rear USB

Any opinions/help would be appreciated

Thanks

 

[HEXiT]

how much can you spend. preferred amount and absolute maximum.

 

[The noobiest noob]

how much can you spend. preferred amount and absolute maximum.

Preffered amount: $570

Maximum amount: $650-$700