Am Bühnenrand wartet die Vorband auf den Soundcheck.

German often puts a time/place/detail element first to set the scene. Here, Am Bühnenrand comes first for emphasis, and the finite verb still has to stay in second position.

So:

• Am Bühnenrand = position 1
• wartet = position 2
• die Vorband = comes after the verb

That is why you get:

Am Bühnenrand wartet die Vorband auf den Soundcheck.

A more neutral version would be:

Die Vorband wartet am Bühnenrand auf den Soundcheck.

Both are correct.

Am is a contraction of an dem.

So:

• an dem Bühnenrand → am Bühnenrand

This is very common in German.

Here it means something like:

• at the edge of the stage
• by the stage edge

Because this sentence describes a location, not a movement toward a destination.

German prepositions like an can take different cases:

• dative for location: where?
• accusative for direction/movement: where to?

Here, the band is already there, waiting:

• am Bühnenrand = at the stage edge → dative

If there were movement toward the edge, you might get:

• Die Vorband geht an den Bühnenrand.
  The band goes to the edge of the stage.

Because it follows an in a location sense, and that requires the dative.

The full form is:

• an dem Bühnenrand

Since Rand is masculine, the dative singular article is dem.

Then an dem becomes am.

Because the grammatical subject is die Vorband, and that noun is singular.

In German, a band is usually treated as a single unit:

• die Band = singular
• die Vorband = singular

So the verb is singular too:

• die Vorband wartet

If the subject were plural, you would use warten:

• Die Musiker warten.

Because German main clauses usually follow the verb-second rule.

When something other than the subject comes first, the verb still stays second, and the subject often moves after it.

Compare:

• Die Vorband wartet am Bühnenrand.
• Am Bühnenrand wartet die Vorband.

In both sentences, the verb wartet is in second position.

Here it is accusative.

With warten, German uses the fixed pattern:

• warten auf + accusative = to wait for

So:

• auf den Soundcheck
• not auf dem Soundcheck

This is something you mostly just learn as a verb pattern:

• Ich warte auf den Bus.
• Sie wartet auf ihren Freund.

Because Soundcheck is masculine: der Soundcheck.

After warten auf, you need the accusative, and the masculine accusative article is den.

So:

• nominative: der Soundcheck
• accusative: den Soundcheck

Yes, mostly.

Many German verbs naturally go with a certain preposition and case. For warten, the usual pattern is:

• warten auf + accusative

So it is best learned as a unit:

• auf etwas warten = to wait for something
• auf jemanden warten = to wait for someone

This is similar to learning verb patterns in English.

Vorband means the band that performs before the main act, so in English usually:

• opening band
• supporting band
• warm-up act

It is a compound noun:

• vor = before
• Band = band

The gender comes from the last part, Band, which is feminine:

• die Band
• die Vorband

Yes.

It is made from:

• Bühne = stage
• Rand = edge/border

So Bühnenrand means edge of the stage.

The gender comes from the final part:

• der Rand → so der Bühnenrand

That is why in dative it becomes:

• dem Bühnenrand
• and with an dem → am Bühnenrand

Yes, that is possible, but it sounds a little different in focus.

Compare:

• Die Vorband wartet am Bühnenrand auf den Soundcheck.
  The place is given before the thing they are waiting for.

• Die Vorband wartet auf den Soundcheck am Bühnenrand.
  This can sound as if am Bühnenrand is attached more closely to Soundcheck, which may be less clear.

So the original word order is usually the clearer, more natural choice.

No. Here die is the feminine singular article, not plural.

German die can mean:

• the for a feminine singular noun
• the for a plural noun

You tell the difference from the noun and the verb:

• die Vorband wartet → singular
• die Vorbands warten would be plural, though that word is uncommon

So in this sentence, die Vorband is singular.

A useful breakdown is:

• Am Bühnenrand = place
• wartet = verb
• die Vorband = subject
• auf den Soundcheck = prepositional object

So the core idea is:

• die Vorband wartet auf den Soundcheck

and Am Bühnenrand is placed first to set the scene.

This is a very common German pattern: place/time first, verb second, subject after the verb.