**Video Transcript**

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Transcript
**Keywords for Addition and Subtraction**

At the Academy of Magic, Caulleen is hot on the trail of a breaking story for her school paper. According to rumors, the school's Switch Quitch Team has been experiencing an odd phenomenon: Brooms from the equipment room are going missing, only to mysteriously return a few hours later, as if nothing had happened! In order to crack this case, we will need to identify keywords for **using addition and subtraction**.

### How you turn keywords into mathematical expressions

Caulleen plans to start her investiagation by interviewing the Switch Quitch coach. She needs to start with the basics: who had access to the equipment room? The coach tells her that one of the new boys on the team is in charge of equipment. But he can't remember his name. But he knows the number of boys and girls on the team altogether is **equal** to 20. He knows this because the **total sum** of players on the team was 16 last year, but increased by 4 this year. How can we turn this information into **mathematical equations** so we can be sure of how many players are on the team?

### Keywords which are indicating Addition

When information about **math operations** is presented in a **word problem format**, look for **keywords** that indicate the **correct operation** to use. Let's start with the first fact the coach told us. The total number of boys and girls on the team is 20, altogether. The keywords 'total' and 'altogether' tell us that this is an addition problem. We don't know exactly how many boys and girls there were, but we can use the variables 'b' and 'g' to represent them. Finally, we know that the total number is 20, so that goes to the right of the equal sign.
Let's move on to the second thing we learned. She told us that last year, the total sum of players on the team was 16 but increased by 4 this year. The words "**total sum**" and "**increase**" tell us that this is also an **addition problem**. We can use the variable 'p' to represent the players on the team. The number 16 tells us the number of players last year and 4 is the number we are **increasing** by.

### Keywords which are indicating subtraction

Hm...very interesting, but we're going to need some more clues to **solve** this mystery. Caulleen decides to talk to the Switch Quitch team captain to see what she knows about the missing brooms. The captain tells Caulleen there should be 20 brooms in the supply room, but today, that amount **decreased** by 3. Let's convert this to an **algebraic expression**. By focusing on the keyword **decreased**, we know to use **subtraction**. Now we can **insert** the number of brooms there should be and take away the number that are missing. That's another helpful clue, but still we aren't any closer to **solving** the mystery. But suddenly the team captain remembers that, actually, today there wasn't just brooms missing. There was one ball **fewer** than there normally in the equipment closet. Even though we don't know how many balls there normally are in the equipment closet, we can write this as an algebraic expressions. The keywords "**fewer than**" indicate that we should be **using subtraction in our expression**. We can use the variable 'n' to represent the number of balls that there usually are. Since there was one fewer than the number of balls there usually are, we can write this as the expression n - 1. Two more pieces have been **added** to the puzzle. But what does it all mean?

### Keywords overview - Addition and subtraction

Before we get back to Caulleen, remember that there are a lot of keywords that can be used to indicate **addition and subtraction**.
For **addition**, Caulleen used the words **total**, **sum**, **altogether**, and **increase**. But we could also have used the words **combine**, **plus**, **more than**, or even just the word "**and**". For **subtraction**, Caulleen used the words, **fewer than**, **decrease**, **take away**, and **subtract**. We also could have used **less than**, **minus**, and **difference**. Can you think of any others?

Back to the missing brooms. As she's going over her notes, Caulleen starts to hear a strange rustling sound coming from outside. Is someone playing Switch Quitch? It looks like those missing brooms are having fun without the students of the Academy of Magic. But actually, you know what? These guys are pretty good!

**All Video Lessons & Practice Problems in Topic**Expanding, Factoring, and Distributing Expressions »