Turn on your hunter's sense and try to stand back from the direction he hits you from first. You will see him come down from the mountain. Make sure you have your most powerful revolver out. Shoot when he comes out of the bush, Keep your hunter's sense on the entire time.
Grizzly bear
The first predator you encounter is the grizzly bear. The quickest way to kill it is to wait for it to stand on its hind legs. When its mouth opens, shoot it down the throat.
X-ray scope
Get all the tags in a level, then play the same level again in Quick Hunt mode. Press X while using the scope for X-ray vision.