It sounds like a bad battery to me. I have also found that cheap jumper cables are useless.
Personally, I don't trust department store batteries. I don't mind spending top dollar on a battery, considering that it's heart of the electrical system.

 

Confirmed: I bought a bad battery from Wal-mart. They tested it and exchanged it. I put it in and my Blazer fired right up. I feel so stupid in assuming that the first battery was good and wasting my and everyone who tried to advise me time.

Thanks everyone.

 

Hey no problem man. Glad you got it fixed! You never want to assume that something new is bad, but it happens.

 

lol I would say asume everything is bad until confirmed and proven it is not...

 

I'm just glad that the solution was so simple.