Solve equations in linear and quadratic form.
Solve equations involving rational expressions.
Solve equations involving fractional and negative exponents.
Use appropriate inverse operations to solve an equation.
Use the zero factor property to solve equations.
Given an equation with several variable, solve for one variable in terms of the others.
Paul's Online Notes provides a good set of notes and examples demonstrating various equation solving techniques that will be used in calculus and your other science courses.