Hi there silent_prey and welcome to LinuxQuestions.org!!!
Well, let's start with Blender. There're a lot of versions of blender. static, non static, 2.31a, 2.25 and god know what more. Blender 2.31a does not have the game engine. Unless you need it, 2.31a is a great modeler. The version you want is this one:
Save it anywhere you please. I usually save my files at /home/me/temp. To uncompress the file, type:
tar xvzf blen
You don't have to type the hole name, the above is enough. Then, use "tab" and Linux will automagically complete it for you, then press enter. A new directory will be created named:
Get into that directory with cd blender-2.31a-linux-glibc2.2.5-i386. Remember, you don't have to type the full name, few letters and tab
That should start the application. Executables in Linux usually run with ./name_of_executable. That's for executables, not for installing rpm's or from source. If you need help installing programs, check out this thread:
About the dependencies, it's hard to know, since I don't know what you've and don't have installed. Try running blender and report any errors fully
. About your graphics card, it may be too dark if you are not using the Linux official drivers. Try to get and install it. As I don't have an ATI, I won't be able to help you. Still try:
xgamma -gamma <value>
the value is a valid number, try for example xgamma -gamma 2.0, to set gamma to 2.0. This may or may not work, depending of your drivers.