Main content

## 7th grade

### Course: 7th grade > Unit 6

Lesson 3: Interpreting linear expressions# Writing expressions word problems

Learn how to write expressions with variables to describe situations described in word problems.

## Want to join the conversation?

- i still don't get it(27 votes)
- As much as you read a book over and over again, you understand things that you didn't understand or catch at the first time. Keep watching the video and see if it helps.(3 votes)

- that is one expensive dentist(8 votes)
- I'm a non native English speaker, so I find this a bit difficult for me. How much more difficult this topic is to native English speakers.(2 votes)
- This is pretty simple for me, but I can't speak for all English speakers. Some people are better at different parts of math. For instance, it took me forever to get a good score on the integers section. Just do your best!(3 votes)

- she a baddie she know she a ten finish the song(2 votes)
- is that from the song in ha mood by ice spice?(2 votes)

- Leon lives 2600 metres from school. Every morning, he bikes to school at a constant rate of 200 metres per minute.

Create an algebraic expression that represents the relationship between the distance Leon biked,

D, and the time since he left home,

t.(2 votes)- Since the y intercept is 0 (distance from home) and slope is 200 m/min, the equation would be D=200t.(1 vote)

- why is it so hard(2 votes)
- I hate math i am jumping off a bridge slayy queen period get that bag sis you ate that up(2 votes)
- What does "n" stan for?(1 vote)
- Let A = number of batteries of Type A

Let B = number of batteries of Type B

You have 2 totals. Each total will create an equation. Total means addition, so the equations will involve addition.

Total batteries = 32. This creates: A + B = 32

Total cost = 1780. This creates 50A + 65B = 1780

You can then use the substitution method or elimination method to solve the problem.

Hope this helps.(2 votes) - this is the reason my school stopped making us watch these(2 votes)

## Video transcript

- [Voiceover] The price of a
visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill. If the dentist finds n cavities, what will the cost of the visit be? Write your answer as an expression. Alright, so we're talking about the cost of the visit. So you're gonna spend $50 no matter what. And then you're gonna
get an additional charge of $100 per cavity it tells us. An additional charge of $100 per cavity. So lets see, if you have n cavities it's gonna be $100 times n. I can just write this as 100n. Now lets see if this makes sense. If you have no cavities, if n is zero, then you're just gonna pay your $50. But if you have one cavity, you're gonna pay your
$50 plus 100 times one. If you have two cavities, you're gonna pay $50
plus 100 times 2, yeah. This seems to make sense. So lets check our answer. We got it right, lets
do another one of these. Sunny earns $12 per hour delivering cakes. She worked of x hours this week. She worked for X hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday. How much money did Sunny earn this week? So if you see that she earns $12 per hour and she worked for x hours. Okay, she got $12 per hour times x hours. So that's how much she would've made except for the fact that she also had, she was charged, I guess her employer, charges her for late delivery. So she had to take $15
out of her paychecks. So this is what she would've gotten paid based on her hourly wage and the number of hours she worked. But then she has that late
fee that she has to pay. So it's gonna be 12 x minus 15 is how much she actually earned this week. Lets do a few more of these. There are c players on
the Cougars hockey team. The team scored a total
of 36 goals this season. One of the players, Matthew,
scored two more goals than the average per player. How many goals did Matthew score? Alright, well lets think
about the average per player. Cause we know that he scored two more than the average player. So the average is going to
be the total number of goals divided by the number of players. And they tell us that they're c players. So this expression right over here, that will tell us the average, that that's the average goals per player. Now we know Matthew scored two more than this thing over here. So we can just add two to that. And that's how many goals Matthew scores. Lets check our answer. Now the key here, this might
seem a little confusing, but remember, this says
Matthew scored two more goals. Two more goals than the average player. The average player, the
average goals per player is 36 divided by c. Lets do one more of these. Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school and they each plan to donate
the same amount of books and reach a total donation of 300 books. How many books will Hannah
have in her collection after her donation? Alright, so lets think about it. Hannah has 127 books in her collection. That's how much she has in her collection. Her school is hosting a book donation. There's z students at her school and they each plan to donate
the same amount of books and reach a total of 300 books. How many books will Hannah
have in her collection after her donation? So 127, and I know I just reread it cause that first time
I was like, okay wait, is 127 the amount of books that Hannah has or the amount that her school
has would be very clear. 127 is the number of book Hannah has. Then she's gonna donate
some of those books. So she's gonna donate some
of those books to her school. And we have to figure out how much is she going to donate to her school. And we see that the
students, the z students plan on together, they each want to donate the same number of books and together they're
gonna donate 300 books. So how much is each
student going to donate? Well, if z students
together are donating 300, each student is going to
donate 300 divided by z. 300 divided by z. And so Hannah starts with 127 books. She's going to donate her
share of books to the school. And each student is going to
donate 300 divided by z books. So Hannah is going to be left with 127 minus 300 over z books after her donation.