Help Completing First PC Build

[DarkKnight2222]

Hi I'm building a new pc I have picked out some parts already that I think will all work together. I plan on using this pc for gaming (BF3, Bioshock Infinite, etc.) and for hd video editing and rendering. I would like to spend altogether $600 but I can go up to $650 but the lower the better. As long as what I have chosen so for will all work together then I would like to leave it how it is, unless there is something better I should switch out. So I have $115 to $165 left over for a motherboard, hard drive, and case. Thank you everyone for the help.

Parts I have chosen so far:
CPU: i5 3470 $150
GPU: hd 7850 $165
RAM: Patriot G2 Series PGD34G1600ELK Division 2 Edition Desktop Memory Kit - 4GB (2 x 2GB) PC3-12800, DDR3 1600MHz, 9-9-9-24 CAS Latency, XMP Ready $25
PSU: Corsair cx500 v2 500w $55
OS: Windows 7 $90
=$485

Parts I still need willing to spend $115 to $165:
motherboard
hard drive
case

Preferred Brands: Intel CPU

Preferred Website(s) for Parts: tigerdirect.com, newegg.com, and amazon.com

Location: U.S.

Overclocking: [Edit: Maybe]

SLI or Crossfire: Maybe

Your Monitor Resolution: I will use a 32inch 1080p tv

 

[tiny voices]

Get 8gb RAM.
Get an h77 motherboard.
Get a seagate or western digital 1tbHDD.
Get an antec, coolermaster, corsair case

 

[DarkKnight2222]

Best answer selected by DarkKnight2222.