Can this computer play games such as Skyrim, Dragon Age, etc?

No, since it has Integrated Graphics card

If you want to play modern games, then get laptop having dedicated ATI Radeon or nVidia GeForce graphics card. These gaming laptops usually cost $900 upwards

"Skyrim" wants…
- 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
- NVIDIA or AMD ATI video with 1GB RAM:
Nvidia GeForce GTX 260 or higher;
OR
ATI Radeon HD 4890 or higher
- DirectX 9.0c
DirectX compatible sound card
- Internet access for Steam activation