Question

Solve V = π r2h

Answer 1

what variable do you want to solve this for?

Answer 2

H

Answer 3

well, the first thing to notice is that h is multiplying your other variables in the right hand side of the equation right?

Answer 4

Right

Answer 5

@idvez

Answer 6

so what can you do to the right hand side to eliminate the "extra stuff"
Hint: opposite of multiplication

Answer 7

Divide

Answer 8

correct, so go ahead and divide both sides of your equation by the stuff we dont want in the right hand side meaning pir^2

Answer 9

let me know what you get for the final answer :)

Answer 10

So divide h on both sides?

Answer 11

well no, h is the variable we want at the end, so everything else has to "disappear" leave h alone and divide the other stuff

Answer 12

Is this right? V/pi r^2=h

Answer 13

did you mean \[\frac{ V }{ \pi r^{2} }\] or
\[\frac{ V }{ \pi }*r^2\]

Answer 14

The first one

Answer 15

very good that is correct!

Answer 16

So is that the answer?

Answer 17

now one last thing, we can do this only because everything is multiplying, for things that are adding and subtracting the process is a little different.

Answer 18

yes that is the answer, when you solve the given equation for h

Answer 19

Okay, thank you so much. Can you help with another?

Answer 20

sure...

Answer 21

Create your own unique literal equation and solve for one of the variables. Show your work. Then, using complete sentences, explain how you solved for the variable you chose.

Answer 22

ok so you have to come up with your own equation, any ideas what you want it to be?

Answer 23

Not really

Answer 24

Solve P = 2(l + w) for l. What are the missing values in the table? (1 point)

P w l
14 2 ?
22 8 ?

Answer 25

Can you help with this instead @idvez

Answer 26

sure

Answer 27

so what variable do you think you have to solve for?

Answer 28

l

Answer 29

good

Answer 30

so, what i like to do with problems like these is break the parenthesis, how do you do that?

Answer 31

Multiplying everything inside them by 2?

Answer 32

yes, what is your equation after you do this

Answer 33

P=2l+2w

Answer 34

very nice, so now you ask yourself, what is the variable of interest, l where is it? in the right hand side

Answer 35

So you have to get it by itself right?

Answer 36

Let me mention that every time you wast to solve an equation for something, you want that something to be by itself on one side of the equals sign

Answer 37

P-2w=2l

Answer 38

this time l is on the right hand side so lets just leave it there. What else is on the right hand side?

Answer 39

GOOD JOB!

Answer 40

what next?

Answer 41

Divide?

Answer 42

yes, because?

Answer 43

You have to get P by itself

Answer 44

very good and the opposite of multiplication is division, nice work!

Answer 45

so what is your final result for l

Answer 46

P/2l-2w=l?

Answer 47

remember you only was to divide by the extra stuff so the l on the right hand side stays there

Answer 48

also you want to divide the whole quantity of the left by 2 not just one of the numbers

Answer 49

So divide both sides by 2l?

Answer 50

No, just by 2, that is the extra we don't want on the right
your equation should become \[\frac{ P-w }{ 2 }=l\]

Answer 51

And that's the answer?

Answer 52

well that is how you get l, now you have to complete that table

Answer 53

L=7

Answer 54

for wich case, you have 2

Answer 55

Yes Now can you help me with that word problem again?

Answer 56

well hold on, the ans for that las problem is not L=7, for the fist case w=2 and p=14 so what is l?

Answer 57

7

Answer 58

well if you plug back in P=14 and w=2, you dont get 7 do you? check your work!

Answer 59

for your word problem just come up with an equation it does not matter which just come up with one,
\[5x+3yz+9x=3x\] or\[\frac{ 5x }{ 6xy }=2y\]
anything you want is fine

Answer 60

Anything?

Answer 61

for future reference for L i get 5 and 3

let me know if you need more help with that word problem