If I have an Ati radeon x1250 video card specifications on a game I purchased are 128 MB Video Card with support for Pixel Shader 2.0 do I need a new card

You Can run the game. It depends on what memory and processor you have (im assuming its an amd). The x1250 is an onboard graphics chip. It supports pixel shader 2.0 but may not run that fast.
The total physical memory of that chipset is up to 830mb. But it takes its memory from the ram you have installed. For instance if your running 2gb memory then depending on the games specs it will decrease the amount of overall ram you have left for actually making the game run fast. So if its a 128mb spec game and you have 2 gb of ram then you only have 1872mb of physical memory left.
Hope that helps. I have an x1250 myself but own an xbox 360 so i do all my gaming on there.