Az agyag az asztalon van.

Because both agyag and asztalon are nouns, and each can take its own definite article.

• az agyag = the clay
• az asztalon = on the table / literally on the the-table

In Hungarian, the article stays in front of the noun even when the noun also has a case ending.

Also, the form is az rather than a because both following words begin with a vowel:

• agyag
• asztalon

Hungarian has two forms of the definite article:

• a before a consonant
• az before a vowel

So:

• az agyag
• az asztalon

Compare:

• az alma = the apple
• a könyv = the book

This is similar to English a/an, but Hungarian uses the distinction with the definite article instead.

Asztalon means on the table.

It is made from:

• asztal = table
• -on = a suffix meaning on (specifically, on the surface of something)

So:

• asztal = table
• asztalon = on the table

Hungarian often uses endings on nouns where English uses separate prepositions like on, in, or under.

The ending -on is the superessive case ending. It expresses position on a surface.

It is used here because a table is treated as a surface, so on the table becomes:

• az asztalon

Some examples:

• a széken = on the chair
• a polcon = on the shelf
• a földön = on the ground

So the sentence uses the normal Hungarian way to say something is physically resting on top of a surface.

Hungarian case endings change form depending partly on vowel harmony and partly on the shape of the word.

The superessive has several common forms:

• -on
• -en
• -ön
• sometimes just -n

With asztal, the correct form is asztalon.

Unfortunately, this is not something you can always predict perfectly from English-style rules alone; learners usually pick it up through patterns and exposure. But vowel harmony is part of the reason the ending changes across words.

Compare:

• asztalon = on the table
• széken = on the chair
• földön = on the ground

Van is the 3rd person singular form of to be: is.

So:

• Az agyag az asztalon van. = The clay is on the table.

Hungarian often drops van in the present tense when the predicate is a noun or adjective:

• A ház nagy. = The house is big.
• Péter tanár. = Péter is a teacher.

But with many location expressions, van is normally kept:

• A könyv az asztalon van.
• A gyerek otthon van.

So in this sentence, van is necessary.

Because this is a very natural neutral word order in Hungarian.

The sentence structure is:

• Az agyag = topic / what we are talking about
• az asztalon = location
• van = is

So the sentence flows as: The clay — on the table — is.

That sounds strange in English, but it is normal in Hungarian.

Hungarian word order is flexible, but changes in order often add emphasis or focus. The version given is a standard, unmarked way to say it.

Yes, Hungarian word order is flexible, but different orders can change emphasis.

For example:

• Az agyag az asztalon van.
  Neutral: The clay is on the table.

• Az asztalon van az agyag.
  More like: The clay is on the table / It’s on the table that the clay is.
  This can sound as if the location is more important or is being clarified.

So the original sentence is a normal basic version, but other orders are possible in context.

Hungarian normally keeps the article with the noun even when the noun has a case ending.

So:

• az asztal = the table
• az asztalon = on the table

The case ending does not replace the article; it simply attaches to the noun.

This is very common in Hungarian:

• a házban = in the house
• a kertben = in the garden
• az asztal alatt = under the table

Yes. Agyag is singular, and here it most naturally refers to clay as a material or mass noun.

Just like English can say:

• The clay is on the table

Hungarian can also use a singular noun for a substance:

• az agyag

So it does not need to be plural. It means the clay material, not multiple separate clays.

A few pronunciation points:

• a is a short open vowel, somewhat like the o in some pronunciations of hot
• gy is a single Hungarian consonant sound, somewhat like the d
  • y sound in British-style duke, but merged into one soft consonant
• final g is pronounced clearly

So agyag is roughly: aw-dyawg or aw-gyawg, depending on how you approximate it in English

Also remember:

• stress in Hungarian is almost always on the first syllable
• so: A-gyag

In Hungarian, sz is pronounced like English s.

So:

• sz = English s
• s by itself in Hungarian = English sh

That means:

• asztal begins with an s sound, not a z sound

A rough pronunciation is: AHS-tawl

And in asztalon, the stress is still on the first syllable: AHS-ta-lon

No. Hungarian does not have grammatical gender.

So nouns like:

• agyag = clay
• asztal = table

are not masculine, feminine, or neuter.

This means you do not need to learn gendered articles or adjective agreement the way you would in many European languages. That is one thing Hungarian learners often find easier.