Lisa,
I think rbdeli is right that it's just a matter of not enough chlorine.
I just went through this with my new house. I got the water to be clear but the green hue persisted. I finally figured out that I was just not adding enough chlorine. After I finally declared war and nuked my pool, turned to sparkling blue in a matter of days.
I would recommend going down to walmart or some other big box store and buying about 20 gallons of scent free 6% bleach. Start by adding about 5.5 gallons to your skimmer while the pump is running. According to the thepoolcalculator.com, this will raise your FC level to about 15 - an appropriate shock level for your CYA level.
Bleach (liquid chlorine) has a very high pH so it will have the added benefit of raising your pH, which is too low.
Keep your FC level high at about 10-15 for a couple of days and I bet that green hue will vanish.
Good luck!