A 0.626 kg particle has a speed of 2.05 m/s at point A and kinetic energy of 7.36 J at point B. I have figured out the kinetic energy at point A is 1.32 J and the speed at point B is 4.85 m/s. What I can't find is "What is the total work done on the particle as it moves from A to B? "

What is work done? It is the force applied to a body multiplied by the displacement of that body. Work done also gives the amount of energy given to that body. By knowing how much energy the body obtained, that gives the work done.