Question

I will give out a medal and I'll fan you!

A company distributes free crayon boxes to all the students of x schools. Each school has (x + 5) classes. The number of students in each class is 2 less than the number of classes in each school. Each student is given 2 boxes of crayons.

Part A: Write an expression to show the total number of crayon boxes distributed by the company in x schools. (4 points)

Answer 1

@ikram002p may I have some help? I'm about to cry!

Answer 2

lol ok dnt cry , ill see what i can do :0

Answer 3

You don't ned to give me the direct answer, just the process to figure it out. :)

Answer 4

there are x schools
x+5 classes in each school

thus we have x(x+5) classes

and there is {(x+5)-2} students in each school

thus we have x(x+5)(x+5-2)

each student is given two boxes

so the total number of boxes is x(x+5)(x+3)(2)

expand this expression

Answer 5

Um, expand this form...ok. Uh, let me see...\[x^2 + 5x + x^2 + 3x \]

Answer 6

wrong, right? XD

Answer 7

And then I combine like terms, like so:\[x^4 + 15x\]

Answer 8

@hoblos

Answer 9

Is this correct @ikram002p ?

Answer 10

x(x+5)(x+3)(2)
lets expand it step by step
first distribute x into (x+5)

x(x+5) = ?

Answer 11

We get \[x^2 + 5x\]

Answer 12

correct
so the expression becomes (x^2 + 5x)(x+3)(2)

next step:
(x^2 + 5x)(x+3) = ?

Answer 13

\[x^3 + 3x^2 + 5x^2 + 15x\]

Answer 14

great!
now add like terms ( 3x^2 and 5x^2)

Answer 15

Oh yeah! So, in standard Form, it'd be:\[x^3 + 8x^2 + 15x\]

Answer 16

yeah
we get then (x^3 + 8x^2 + 15x)(2)
the last step: multiply x^3 + 8x^2 + 15x by 2

Answer 17

Well, then I'd get:\[2x^3 + 16x^2 + 30x\]

Answer 18

Is this my answer?

Answer 19

yeah that's it

Answer 20

Thank you, you were VERY helpful. :)

Answer 21

glad to help :D

Answer 22

Would you mind helping me w/ one more question @hoblos ?

Answer 23

What does x(x + 5) represent? When simplified, what would be the degree and classification of this expression?

Answer 24

is it related to the previous question ?

Answer 25

Yes.

Answer 26

Does it represent the number of classes that are in each school?

Answer 27

if you look back to my first comment
"there are x schools
x+5 classes in each school
thus we have x(x+5) classes"

so what does x(x+5) represent ?

Answer 28

(x+5) represent the number of classes that are in each school
if we multiply it by number of schools x
what would it represent then ?

Answer 29

....um....the x amount of schools in which x + 5 are in each school? Oh boy, I need to go back to elementary school. -__-

Answer 30

I don't know. :(

Answer 31

let me give you an example
if you have 2 bags, and there is 3 apples in each
what would the total number of apples be?

Answer 32

6 apples in all

Answer 33

how did you get that ?

Answer 34

I multiplied 2 • 3 = 6, I knew that there were 2 bags, and each bag has 3 apples. You take out the apples in the 2nd bag, and add the apples from the 1st bag, and it's 6 apples.

Answer 35

ok same here
we have x schools , and (x+5) classes in each
what is the total number of classes in all the schools ?

Answer 36

x(x + 5)

Answer 37

yeah
so x(x + 5) represent the total number of classes in x schools

Answer 38

OH MY GOD 0___0 I WAS NOT PAYING ATTENTION, YOU'RE A GENIUS!!!!

Answer 39

I was thinking that the x in the (x+5) was a school, that's why I wasn't understanding! Brain fart! hahaha

Answer 40

Thank you once again!

Answer 41

any time :)

Answer 42

you still have this part
what would be the degree and classification of this expression?
you know it ?

Answer 43

Um, just for fun how would I find the total number of students in each school?

Answer 44

x(x+5) is 3rd degree trinomial ?

Answer 45

Oh, whoops...hehe it;s actually 2nd degree BINOMIAL.

Answer 46

How would I find the total number of students in each school?

Answer 47

in each school you have (x+5) classes , (x+3) students in each
so how many students are in a school ?

Answer 48

(x + 8) or x^2 + 3x + 5x + 15

Answer 49

the second one

Answer 50

Awesome. Alright, I'll let you get on w/ your day. I appreciate all that you've done. Thank you!

Answer 51

glad to help:)
any time you need help you can tag me ;)

Answer 52

I'd combine like terms of course.

Answer 53

Great! Thank you!