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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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