As you may know, the parliamentary election in Germany took place on Sunday, September 26th. On a national level, the SPD (Social Democratic Party) took the lead this time, whereas the CDU (Christian Democratic Union) suffered losses. The significance of this election in particular lies in the fact that Chancellor Angela Merkel had decided not to seek re-election, meaning that the SPD now will appoint the next Chancellor rather than Merkel's CDU party. 

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The word for "the election" in German is die Wahl, which can also simply mean "the choice." As you can see below, die Stimme means not only "the voice" but also "the vote" in German. 

Sie zählen die Stimmen nach dem Ende der Wahl.

They count the votes after the end of the election.

Caption 4, Bundesrepublik Deutschland: Einbürgerungstest

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The related verb for die Wahl is wählen. 

Parlamentsmitglieder, die von den Bürgern und Bürgerinnen gewählt werden, nennt man Abgeordnete.

Members of parliament who are elected by citizens are called representatives.

Captions 38-39, Bundesrepublik Deutschland: Einbürgerungstest

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When it is a matter not of an election, but a vote, you will likely see the noun die Abstimmung and the verb abstimmen. 

Unmittelbar vor der Abstimmung des Bundestages über längere Atom-Laufzeiten haben Aktivisten am Donnerstag Morgen das Dach der CDU-Zentrale in Berlin besetzt.

Just before the Bundestag's vote on longer running times of nuclear power plants on Thursday morning, activists occupied the roof of the CDU headquarters in Berlin.

Captions 2-4, Atomkraft: Streit um AKW-Laufzeiten

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However, at this time, we are talking about electing political parties. It's worth remembering that die Partei refers only to a political party, or for example, parties in a negotiation. It does not refer to a birthday party or retirement party. That would be die Feier or die Party.  There is actually a satirical but genuinely leftist-oriented political party whose official name is die Partei. 

Welche Parteien wurden in Deutschland zweitausendsieben zur Partei „Die Linke“?

Which parties became the party "Die Linke" in Germany in two thousand seven?

Caption 25, Bundesrepublik Deutschland: Einbürgerungstest

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You can find other relevant vocabulary in a number of videos on Yabla German:

Im Jahr neunzehnhundertneunundneunzig nahmen die Regierung und das Parlament ihre Arbeit in Berlin wieder auf.

In nineteen ninety-nine, the government and parliament resumed their work in Berlin.

Captions 21-22, Bundesländer und ihre Rezepte: Bundesland Berlin

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In Deutschland gehören der Bundestag und der Bundesrat zur... Legislative.

In Germany, the Bundestag and the federal council belong to the... legislative.

Captions 15-16, Bundesrepublik Deutschland: Einbürgerungstest

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Wenn Abgeordnete im Deutschen Bundestag ihre Fraktion wechseln, kann die Regierung ihre Mehrheit verlieren.

If representatives in the German Bundestag change their parliamentary group, the government can lose its majority.

Captions 31-32, Bundesrepublik Deutschland Einbürgerungstest

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Further Learning
You can listen to Deutsche Welle's news report from the election or take a look at how the election played out in Berlin. If you are up for a challenge, try out the Wahl-o-mat, which determines the political party that your views are most aligned with. For thorough information on German politics and history, have a look at our series with questions and answers from the actual German citizenship test.