It has been many decades since my Russian classes in college. I remember from my four years of high school Latin, that adjectives qualifying a noun, all agreed in case; i.e. if the noun was a direct object, then all the adjectives attached to the object would have accusative endings. I seem to remember that things might be a little different in Russian. Could someone elaborate with examples?

Also, how about adverbs modifying a verb?

Thanks very much.