Learn French: Elle sort la soupière et l'argenterie. - She takes out the soup tureen and the silverware.

Sortir changes meaning depending on how it's used. When used with a direct object (like la soupière), it means "to take [something] out." As a quick reminder for past tenses: when used this way, it takes avoir in the passé composé (elle a sorti) instead of être.

How does a word like soupière fit into our lesson about containers like tasse à thé?

In French, adding the suffix -ière or -ier to a noun is another way to express a container's purpose, bypassing the need for the preposition à. Just as a théière is a pot for tea, a soupière is a serving dish specifically for soupe. If you were talking about a generic bowl meant for soup, you would use the lesson's structure: un bol à soupe.

If she brings out the tureen full of soup, would it be une soupière à soupe or une soupière de soupe?

You would say une soupière de soupe (a tureen of soup) to describe the contents. You would never say une soupière à soupe because the word soupière already implies its purpose is for soup; saying it again would be redundant!

Is there a specific meaning to the -erie ending on argenterie?