Here in this section of the site you can find some exercises for how to define/write utility functions, how to link a utility function to an indifference curve, how to calculate marginal utilities (MU), marginal rate of substitution (MRS), and how to draw a graph of indifference curves of various utility functions, etc.

Here in this section of the site you can find some exercises for how to calculate demand curve, or demand functions, Engel curves, total price effects, Slutskian and Hicksian substitution effects and income effects, ICC and PCC curves, etc.