Computer powerful enough for gaming?

I'm looking for a cheap laptop for college that can play games like Minecraft, Hearthstone, Smite, and games such as Skyrim at medium settings if possible. I came across the Hp Envy 15z-j100 with
AMD Quad core A8-5550M Accelerated processor, 2GB AMD Radeon HD 8750 M Discrete processor, 6GB DDR3 system memory (2 Dimm), and 750 GB 5400 rpm hard drive. Is this capable of the gaming I'm looking for?

Find one that can exceed these specs:
-Windows 7/Vista/XP PC (32 or 64 bit)
-Quad-core Intel or AMD CPU processor
-4GB System RAM
-6GB free HDD (Hard disk drive) space
-DirectX 9.0c compatible NVIDIA or AMD ATI video card with 1GB of RAM: Nvidia GeForce GTX 260 or higher; ATI Radeon HD 4890 or higher
-DirectX compatible sound card
-Internet access for Steam activation

Although they are expensive, Alienwares are definitely the best laptops to go for. You can change the color of the LED lights on the keys and surrounding the laptop, and it runs really well. Here is a list of alienware laptops - http://m.dell.com/mt/www.alienware.com/Landings/laptops.aspx

If you decide not to go for the Alienware, an Asus ROG would be a good choice. Or a razer blade.

10 Best Laptops June 2014: http://www.wiknix.com/best-laptops-june-2014/

5 Best Laptops For College Students 2014: http://www.wiknix.com/best-laptops-for-college-students-2014/

5 Best Laptop for Video Editing 2014: http://www.wiknix.com/5-best-laptop-for-video-editing-2014/

10 Best Gaming Laptops 2014: http://www.wiknix.com/best-gaming-laptops/

5 Best Convertible and Detachable Laptops: http://www.wiknix.com/5-best-convertible-and-detachable-laptops/