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-------Lesson Dialog-------
----Formal ----
Carsten: Mia, kan du reducere følgende stykke? Hvis du starter med at læse udtrykket igennem.
Mia: Okay. 3 + (8 - 2x) - (x + 3y) + 4y - 5.
Carsten: Godt. Hvad vil du gøre først?
Mia: Først vil jeg ophæve de to parenteser. Den første kan jeg ophæve med det samme.
Carsten: Og hvorfor kan du det?
Mia: Fordi det er en plusparentes. Så skal jeg ikke gøre noget.
Carsten: Ja, og hvad så med den anden parentes?
Mia: Der skifter alle fortegnene, fordi det er en minusparentes. Så plusset bliver til et minus.
Carsten: Ja, og hvad står der så nu?
Mia: 3 + 8 - 2x - x - 3y + 4y - 5. Og så skal jeg sortere leddene, ikke?
Carsten: Præcis! Tallene for sig, leddene med x for sig og leddene med y for sig.
Mia: Okay, så det vil sige 3 + 8 - 5 - 2x - x - 3y + 4y.
Carsten: Ja, så nu skal du bare lægge de forskellige ting sammen.
----Formal English----
Carsten: Mia, can you reduce the following problem? If you would start by reading through the expression.
Mia: Okay. 3 + (8 - 2x) - (x + 3y) + 4y - 5.
Carsten: Good. What will you do first?
Mia: First, I will remove the two parentheses. I can remove the first one straight away.
Carsten: And why can you do that?
Mia: Because it is preceded by a plus sign. Then I don't have to do anything.
Carsten: Yes, and what about the other parenthesis then?
Mia: All the signs change because it is preceded by a minus sign. So the plus sign becomes a minus sign.
Carsten: Yes, so what does it say now?
Mia: 3 + 8 - 2x - x - 3y + 4y - 5. And then I'm going to sort the terms, right?
Carsten: Exactly! The numbers for themselves, the terms with x for themselves, and the terms with y for themselves.
Mia: Okay, so that means 3 + 8 - 5 - 2x - x - 3y + 4y.
Carsten: Yes, so now you only have to add the different things.
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