assess

(verb) evaluate or estimate the nature, quality, ability, extent, or significance of. Synonyms: measure, evaluate, valuate, appraise, value. Examples: "I will have the family jewels appraised by a professional." "Access all the factors when taking a risk."

(verb) charge (a person or a property) with a payment, such as a tax or a fine.

(verb) set or determine the amount of (a payment such as a fine). Synonyms: tax.

(verb) estimate the value of (property) for taxation. Example: "Our house hasn't been assessed in years."