
der Preis
price
The amount of money you have to pay for a product or service.
Der Preis für einen Liter Milch ist wieder gestiegen.
The price for a liter of milk has gone up again.
price / prize
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price
The amount of money you have to pay for a product or service.
Der Preis für einen Liter Milch ist wieder gestiegen.
The price for a liter of milk has gone up again.

prize
An award or prize that you receive for a special achievement in a competition or contest.
Sie hat den ersten Preis beim Vorlesewettbewerb gewonnen.
She won first prize in the reading competition.

at any price
An idiom meaning that you absolutely want to achieve or do something under all circumstances, no matter what negative consequences it has.
Er wollte um jeden Preis verhindern, dass die Wahrheit ans Licht kommt.
He wanted to prevent the truth from coming to light at any price.
'Der Preis' has two main meanings: the amount of money for a product and an award. The context makes the difference clear: verbs like 'bezahlen' (to pay) or 'kosten' (to cost) point to the amount of money, while verbs like 'gewinnen' (to win) or 'verleihen' (to award) point to an award.
Was ist der Preis für dieses Fahrrad?
What is the price of this bicycle?
When it is about money, 'Preis' is often used with certain verbs and adjectives. Typical combinations are 'ein hoher/niedriger Preis' (a high/low price), 'die Preise steigen/sinken' (prices rise/fall), or buying something 'zum halben Preis' (at half price).
Die Preise für Energie sind in letzter Zeit stark gestiegen.
Energy prices have risen sharply recently.
When an award is meant, typical verbs are 'gewinnen' (to win), 'bekommen' (to receive), 'verleihen' (to award), or 'vergeben' (to give out/award). The placement is often mentioned too, for example 'der erste Preis' (first prize).
Unsere Schule hat den ersten Preis im Mathewettbewerb gewonnen.
Our school won first prize in the math competition.
The idiom 'um jeden Preis' means 'absolutely' or 'no matter what it costs'. It often appears at the beginning of a sentence or in the middle of a sentence to emphasize determination.
Sie wollte um jeden Preis pünktlich sein.
She wanted to be on time at any price.
value
Wert and Preis can both refer to money in connection with an object. Wert tends to describe the financial assessment, while Preis states the amount that is actually being asked or paid. Wert is appropriate for an estimate; for a purchase, Preis is usually used.

Der Preis des alten Fahrrads beträgt im Laden dreihundert Euro.
The price of the old bicycle is three hundred euros in the store.
Der Wert des alten Fahrrads wird auf etwa dreihundert Euro geschätzt.
The value of the old bicycle is estimated at around three hundred euros.