A tanár már vár minket a könyvtárban.

A is the Hungarian definite article, meaning the.

So:

• a tanár = the teacher
• a könyvtárban = in the library

Hungarian has two forms of the definite article:

• a before most consonants
• az before vowels

For example:

• a tanár = the teacher
• az iskola = the school

Tanár is the subject of the sentence, so it stays in its basic dictionary form.

Hungarian does not usually add a special ending for the subject the way some languages do. The basic form is often called the nominative form.

So:

• tanár = teacher
• a tanár = the teacher

In this sentence, a tanár is the one doing the action of waiting.

Már usually means already or by now.

In this sentence it gives the idea that the waiting has already started:

• A tanár már vár minket. = The teacher is already waiting for us.

Depending on context, már can sometimes feel like:

• already
• by now
• now already

It often adds a sense of expectation or progression.

This is a very common learner question.

Hungarian has two main types of verb conjugation:

• indefinite conjugation
• definite conjugation

Although minket means us, Hungarian normally does not use the definite conjugation with a 1st-person or 2nd-person object pronoun.

So the correct form is:

• vár minket = is waiting for us

not:

• várja minket

You often use the definite conjugation when the object is a definite 3rd-person noun or pronoun:

• Várja a tanárt. = He/she is waiting for the teacher.
• Várja őt. = He/she is waiting for him/her.

But with engem, téged, minket, titeket, Hungarian usually uses the indefinite form:

• vár engem
• vár téged
• vár minket
• vár titeket

Minket means us.

It is the accusative form of mi = we.

So:

• mi = we (subject form)
• minket = us (object form)

Compare:

• Mi várunk. = We are waiting.
• A tanár vár minket. = The teacher is waiting for us.

Hungarian personal pronouns often change form completely rather than just adding a simple ending, so mi → minket is something you mostly just learn as a form.

No. Hungarian also has bennünket, which also means us.

So both can work:

• A tanár vár minket.
• A tanár vár bennünket.

In many situations, minket is more common in everyday speech. Bennünket can sound a bit fuller or more emphatic, depending on context.

Könyvtárban means in the library.

It is made from:

• könyvtár = library
• -ban / -ben = in

So:

• könyvtárban = in the library

This ending is called an inessive ending, and it expresses being inside something.

Examples:

• házban = in the house
• iskolában = in the school
• szobában = in the room

Hungarian vowel harmony decides whether you use -ban or -ben.

Very roughly:

• words with back vowels usually take -ban
• words with front vowels usually take -ben

Könyvtár contains the back vowel á, so it takes -ban:

• könyvtárban

Compare:

• házban = in the house
• kertben = in the garden

Because Hungarian often expresses meanings that English uses prepositions for by adding a suffix directly to the noun.

English uses:

• in the library

Hungarian uses:

• a könyvtárban

Here the meaning of in is built into the ending -ban.

This is very typical of Hungarian grammar.

This is an important distinction:

• könyvtárban = in the library (location, being inside)
• könyvtárba = into the library / to the library (movement toward the inside)

So:

• A tanár vár minket a könyvtárban. = The teacher is waiting for us in the library.
• Bemegyünk a könyvtárba. = We go into the library.

A useful contrast is:

• -ban / -ben = in
• -ba / -be = into

Hungarian normally uses the definite article when the speaker has a specific place in mind.

So a könyvtárban means:

• in the library
• or in natural English, sometimes at the library

Hungarian does not work exactly like English here. Even where English might sometimes omit or weaken the article in certain expressions, Hungarian often keeps it.

Hungarian word order is flexible, but it is not random. It often shows what is the topic and what is being emphasized.

In this sentence, the order is quite natural and neutral:

• A tanár = topic, what we are talking about
• már vár = the main statement about the teacher
• minket = object
• a könyvtárban = place

So the sentence feels like:

• As for the teacher, he/she is already waiting for us in the library.

This is a normal, unmarked way to say it.

Yes. Hungarian allows different word orders for different emphasis.

For example:

• A tanár a könyvtárban vár minket.
  This puts a bit more focus on where the waiting is happening.

• Minket vár már a tanár a könyvtárban.
  This can emphasize us.

• A könyvtárban vár már minket a tanár.
  This can foreground the location.

The basic meaning stays similar, but the emphasis changes.

In Hungarian, vár commonly means wait for someone/something when it has an object.

So:

• várok = I am waiting
• várok valakit = I am waiting for someone
• A tanár vár minket. = The teacher is waiting for us.

Unlike English, Hungarian does not need a separate word like for here.

It usually would not be added here, because a tanár already names the subject clearly.

Hungarian often omits subject pronouns unless they are needed for emphasis or contrast.

So the normal sentence is:

• A tanár már vár minket a könyvtárban.

If you added ő, it would usually sound emphatic:

• A tanár, ő már vár minket...

That would only be used in special contexts.

Hungarian nouns usually do not show grammatical gender.

So tanár can mean:

• male teacher
• female teacher

The sentence itself does not tell you which. You only know from context.

This is very different from languages that mark masculine and feminine nouns.

Hungarian present tense can cover both ideas, and context decides.

So vár can mean:

• waits
• is waiting

In this sentence, because of the context and már, English will usually translate it as:

• is already waiting

That sounds most natural in English, even though Hungarian uses a simple present form.

Usually not if you want to clearly say waiting for us.

Hungarian can omit some things when they are obvious, but here minket is the object of the verb and carries important information.

So:

• A tanár már vár a könyvtárban.
  means The teacher is already waiting in the library, but it no longer says for us.

If us matters, keep minket.

It is neutral and natural. It works in both everyday and standard written Hungarian.

Nothing in it is especially formal, informal, slangy, or literary. It is a very good example of ordinary Hungarian sentence structure.