I guided Samantha through problems involving solutions of square root functions. She was required to square both sides of the equations and solve for the variable. After solving the equations, she also had to substitute the solutions into the original equations to make sure they weren't extraneous solutions.
Next, we worked with various operations on functions. I showed her the obvious outcomes of adding, subtraction, multiplying, and dividing functions but I also showed her how to evaluate compositions of functions. For such problems, she had to first substitute a given value in the inner-most function and then use the output of that function as the input of the other function. There was no assignment.