It helps to dissolve the problem from words to more of a mathematical statement. When reading the problem record down every variable they give. Draw pictures, especially free-body diagrams whenever you can. Write down variables you don't know yet and attempt to fill in the blanks. The more problems you do, the more of a feel you get towards which variables you need. Read the equations to see how various quantities relate physically.
Also, like Travis said, watch your units. Its a good way to figure out if you made a mistake somewhere.
The only other advice to give is to more and more problems. Do problems where you have access to solutions so you can get a feel for it. The more you do, the more of an intuition you build towards problem solving.