Místní úřad je otevřený.

• místní = local
• úřad = office, authority, administrative office
• je = is
• otevřený = open

So the structure is very straightforward: local office is open.

Czech does not use articles like a/an and the.

So Místní úřad je otevřený. can mean:

• The local office is open
• A local office is open

In practice, the context usually makes it clear which meaning is intended. In many everyday translations into English, the local office is open is the most natural choice.

It is in the nominative case, because it is the subject of the sentence.

• místní úřad = the local office
• je otevřený = is open

Since úřad is the thing being described, it stays in the nominative.

Because otevřený is an adjective that has to agree with úřad.

Úřad is:

• masculine
• inanimate
• singular
• nominative

So the adjective also takes the matching form:

• otevřený

If the noun changed, the adjective would change too:

• Místní kancelář je otevřená. = The local office/agency is open.
  (kancelář is feminine, so otevřená)
• Místní muzeum je otevřené. = The local museum is open.
  (muzeum is neuter, so otevřené)

Místní is a different type of adjective from otevřený.

Czech adjectives do not all follow exactly the same pattern.
Místní belongs to the soft adjective type, so its masculine singular nominative form is místní.

That is why you get:

• místní úřad
• místní škola
• místní náměstí

The form changes in other cases and numbers, but in the basic dictionary form you often see -ní adjectives like this.

Not always exactly.

Úřad usually means an official office, government office, or administrative authority. It is more institutional than the English word office, which can also mean someone's workplace or room.

So místní úřad usually suggests something like:

• local authority
• local government office
• municipal office

If you mean a regular office room or workplace, Czech might use a different word, such as kancelář.

Normally, no.

In the present tense, Czech usually keeps the verb být (to be) in sentences like this:

• Úřad je otevřený.

Leaving out je would sound incomplete or incorrect in standard Czech.

This is different from some other Slavic languages where to be in the present tense is often omitted.

Yes, Czech word order is fairly flexible, although the neutral order here is:

• Místní úřad je otevřený.

You might also see:

• Otevřený je místní úřad.
• Místní úřad otevřený je.

But those versions sound marked, poetic, contrastive, or unusual in normal conversation.

For a simple neutral statement, Místní úřad je otevřený. is the best choice.

Yes. Je otevřen is possible, but it sounds more formal, written, or official.

Compare:

• Místní úřad je otevřený. = normal, everyday Czech
• Místní úřad je otevřen. = more formal, official style

Both mean the same thing here.

A learner will usually sound more natural in conversation with otevřený.

A rough pronunciation guide is:

MEEST-nee OO-rhat yeh OH-tev-rzheh-nee

A few notes:

• mí is a long vowel
• ú is a long vowel
• ř is the famous Czech sound with no exact English equivalent
• stress in Czech usually falls on the first syllable of each word:
  • MÍSTní
  • Úřad
  • JE
  • OTEvřený

The hardest part for many learners is ř in úřad and otevřený.

No. Otevřený is a general adjective meaning open.

It can be used for:

• places: Obchod je otevřený. = The shop is open.
• doors/windows: Okno je otevřené. = The window is open.
• figurative meanings: Je otevřený novým nápadům. = He is open to new ideas.

In this sentence, it simply means that the office is open for business / operating / not closed.