A salátába paradicsomot, uborkát és paprikát teszek.

Because Hungarian adds a case ending to show movement into something.

• saláta = salad
• salátába = into the salad

The ending here is -ba / -be, called the illative ending. Hungarian chooses -ba or -be by vowel harmony. Since saláta has back vowels, it takes -ba.

So:

• a salátába = into the salad

This is different from salátában, which would mean in the salad or inside the salad with no movement implied.

A is the definite article, like the in English.

So:

• a saláta = the salad
• a salátába = into the salad

It shows that the speaker is talking about a specific salad, not just any salad in general.

They are the direct objects of the verb teszek, so Hungarian puts them in the accusative case.

The accusative ending is basically -t, though its exact form can vary a little depending on the noun.

• paradicsom → paradicsomot
• uborka → uborkát
• paprika → paprikát

These are the things being put into the salad, so they take the object marking.

Many Hungarian nouns ending in -a or -e change that final vowel to -á or -é before certain suffixes.

So:

• uborka
  • accusative → uborkát
• paprika
  • accusative → paprikát

This is a very common pattern in Hungarian. It is not unique to these words.

For example:

• szoba → szobát
• körte → körtét

This is about the Hungarian indefinite and definite verb conjugations.

Hungarian uses:

• indefinite conjugation when the object is indefinite or non-specific
• definite conjugation when the object is definite and specific

Here the objects are:

• paradicsomot
• uborkát
• paprikát

They have no definite article, so they are understood as indefinite ingredients, not specific individually identified items. Because of that, the verb is teszek and not teszem.

Very roughly:

• teszek = I put
• teszem = I put it / I put the specific thing

Because the sentence treats the salad as a specific thing, but the ingredients as indefinite items.

• a salátába = into the specific salad
• paradicsomot, uborkát és paprikát = tomato, cucumber, and pepper as ingredients

In English, we often also omit articles in ingredient lists, or use them differently depending on context. Hungarian does something similar, but the grammar affects the verb choice too, which is why you get teszek.

Hungarian often uses the singular where English might prefer a plural, especially in lists of ingredients, materials, or kinds of food.

So this sentence can naturally use:

• paradicsomot
• uborkát
• paprikát

even if the speaker means some amount of each, not exactly one of each.

English often says tomatoes, cucumbers, peppers, but Hungarian does not have to match that number in the same way. The singular here sounds very natural.

No, Hungarian word order is fairly flexible. It often shows topic, focus, or emphasis, not just grammatical roles.

In:

A salátába paradicsomot, uborkát és paprikát teszek.

the phrase A salátába comes first, so the salad is the starting point or topic: as for the salad / into the salad.

Other word orders are possible, for example:

• Paradicsomot, uborkát és paprikát teszek a salátába.
• A salátába teszek paradicsomot, uborkát és paprikát.

These are all grammatical, but the emphasis and flow are slightly different.

Hungarian often places the verb later in the sentence, especially when other elements are being highlighted first. In this sentence, the speaker first sets up where the ingredients are going, then names the ingredients, and finally gives the verb teszek.

So the order feels something like:

• Into the salad
• tomato, cucumber, and pepper
• I put

This is normal in Hungarian. It does not sound as strange as it would in English.

Because -ba / -be means into, while -ban / -ben means in.

Compare:

• A salátába teszek paradicsomot. = I put tomato into the salad.
• Paradicsom van a salátában. = There is tomato in the salad.

So:

• -ba / -be = movement into
• -ban / -ben = location inside

This is a very important distinction in Hungarian.

It can mean either, depending on context.

Hungarian does not have a separate mandatory form like the English progressive in I am putting. The simple present can cover:

• a general action
• a habitual action
• something happening right now

So teszek may mean:

• I put
• I am putting

The surrounding context tells you which is intended.

The dictionary form is tenni, meaning to put or to place.

This verb is somewhat irregular, so its forms do not all look exactly like the infinitive:

• tenni = to put
• teszek = I put
• tesz = he/she puts
• teszem = I put it / I put the specific thing

So if teszek looks a bit unpredictable, that is normal. It belongs to a very common verb with some irregular forms.