charge, exact, impose; see tax 1.
judge, appraise, evaluate; see estimate 1, value 2.
Another word for assess
To establish and apply as compulsory: exact, impose, levy, put. See obligation, over, willing
To make a judgment as to the worth or value of: appraise, assay, calculate, estimate, evaluate, gauge, judge, rate1, size up, valuate, value. Idiom: take the measure of. See value