Заявка на ремонт уже принята.

Заявка means request, application, or ticket/order, depending on context. In заявка на ремонт, it usually means a repair request or service request.

It is a feminine noun, which matters later because the word принята also appears in the feminine form.

In Russian, на is commonly used after nouns like заявка, заказ, запрос to show what the request is for.

So:

• заявка на ремонт = a request for repair
• literally: request for repair

This is just a standard Russian pattern you should learn as a chunk.

Because after на in this meaning, Russian normally uses the accusative case.

The noun ремонт is masculine and inanimate, and for masculine inanimate nouns, the accusative singular looks the same as the nominative singular.

So:

• nominative: ремонт
• accusative: ремонт

That is why you do not see any ending change here.

Уже means already.

So the sentence means that the repair request has already been accepted. It suggests the action is completed by now, perhaps earlier than expected or before some next step.

Russian often places уже before the main result word:

• Заявка на ремонт уже принята.

But word order can vary for emphasis.

Принята is a short-form passive participle, not a past-tense verb like принял / приняла.

Here it means:

• accepted
• has been accepted
• is accepted in the sense of a completed result

So:

• принял / приняла = accepted (someone accepted it)
• принята = accepted / has been accepted (the request is in the accepted state)

In this sentence, the focus is on the status of the request, not on who accepted it.

Because it agrees with заявка, which is a feminine singular noun.

Short-form passive participles change for gender and number:

• masculine: принят
• feminine: принята
• neuter: принято
• plural: приняты

Since заявка is feminine, Russian uses принята.

Yes. In the present tense, Russian usually does not use a word for is/are in sentences like this.

So Заявка на ремонт уже принята literally looks like:

• Repair request already accepted

But natural English is:

• The repair request has already been accepted.
• The repair request is already accepted.

In this context, English usually prefers has already been accepted.

It is effectively passive in meaning.

The sentence does not say who accepted the request. It only says that the request is now in the state of being accepted.

So the emphasis is on the result:

• The repair request has already been accepted

If you wanted an active sentence, you would name the person or organization:

• Сотрудник уже принял заявку на ремонт.
• The employee has already accepted the repair request.

Russian has no articles. There is no direct equivalent of a/an/the.

Whether you translate it as a repair request or the repair request depends on context. In this sentence, English will often use:

• The repair request has already been accepted

because it sounds like a specific request being discussed.

Yes. In service or office contexts, принята can mean more than simple accepted. Depending on the situation, it may suggest:

• received
• accepted for processing
• taken into the system
• logged

So Заявка на ремонт уже принята could mean:

• the request has been received and officially accepted
• the request is now being processed

The exact shade depends on context.

Yes. Russian word order is flexible, and changing it can shift emphasis.

For example:

• Заявка на ремонт уже принята.
  Neutral: the repair request has already been accepted.

• Уже принята заявка на ремонт.
  Slightly more emphasis on already accepted.

• Заявка уже принята на ремонт.
  This sounds less natural in most contexts because на ремонт normally stays close to заявка.

So the original order is the most natural and standard one.

Yes. Принята comes from принять, which is a perfective verb meaning to accept, to receive, to take in.

The chain is:

• infinitive: принять
• past active forms: принял, приняла, приняло, приняли
• short passive participle: принят, принята, принято, приняты

Because принять is perfective, the sentence naturally suggests a completed result: the request has already been accepted.

The most natural translation is:

• The repair request has already been accepted.

Depending on context, you might also say:

• The repair request has already been received.
• The repair request has already been processed.
• Your repair request has already been accepted.

But the basic meaning is: the request is already officially in the system / accepted.