Question

hi i need help with these questions on MIXED EXPRESSIONS AND COMPLEX FRACTIONS i have the question in links

1. https://media.glynlyon.com/g_alg02_2012/5/276.gif
a) a-b
b) a - b / a
c) 0

2. https://media.glynlyon.com/g_alg02_2012/5/272.gif
a) 0
b) 1
c) x + y / x - y

3. https://media.glynlyon.com/g_alg02_2012/5/258.gif
a) xy / x + y
b) 2x^2 + xy / x + y
c) -x^2 / x + y

4.https://media.glynlyon.com/g_alg02_2012/5/254.gif
a) 187 / 25
b) 109 / 25
c) 384 / 25

5. https://media.glynlyon.com/g_alg02_2012/5/270.gif
a) y / x
b) x / y
c) xy

6. https://media.glynlyon.com/g_alg02_2012/5/259.gif
a) 1 / m
b) 2m - 1 / m
c) 2m^2 - 1 / m

7. https://media.glynlyon.com/g_alg02_2012/5/255%20copy.gif
a) x + 1 / x
b) x^2 + 1 / x
c) 2x + 1 / x

Answer 1

1 is A

Answer 2

@ambius giving worked out direct answers is agaist openstudy COC Refer http://openstudy.com/code-of-conduct Instead help the asker get to the solution being a guide along the answering process. Thanks

Answer 3

@AravindG; Sorry, I will remember that.

Answer 4

thanks for understanding. Happy Openstudying !

Answer 5

your work helped ambius could you figure out the other awnsers

Answer 6

@MomoSwag1995; if nothing else, the first one is only an example. Remember, if you are given a list of solutions, you can make one side of the equation equal to the other, and then simplify. You don't necessarily have to choose the more complicated solution... for example, with #2, I would start out with making the equation equal to (A), which is 0. For example:

\[\frac{\frac{3x+y}{x-y} - 3}{1-\frac{x-3y}{x+y}}=0\]

By setting the right side to zero (because were are testing to see whether or not 2A is the answer), we can quickly simply a large part of the expression and very quickly tell whether or not the right side can equal the left.

Answer 7

ok thanks , were you able to figure out 3- 7

Answer 8

Lol, no. I only got the first two so far, but the other ones shouldn't be much harder.

Answer 9

ok your still woking on them?

Answer 10

Well, I can do a few more I guess.

Answer 11

Please Please

Answer 12

So for number 3, what expression do (almost) all the terms have in the denominator, including the answers?

Answer 13

x

Answer 14

close... it's x plus another variable added to it.

Answer 15

2x

Answer 16

good guess... however, that's not quit it. If you look at all the potential answers, what's in their denominator?

Answer 17

*quite, lol

Answer 18

x+y lol

Answer 19

Good! so, if your going to simplify both sides; what are you going to multiply by?

Answer 20

x+y

Answer 21

so the awnser is a) xy / x + y

Answer 22

??

Answer 23

Yeppers!

Answer 24

And you see how xy/(x+y) was the easiest one to start out with? lol. You can use process of elimination; when you discover the easy ones don't work, by process of elimination, you can determine what the answer is without doing the hardest one, lol

Answer 25

thanks , can you be my tutor lol JK

Answer 26

ok can you help me with the last 4 if it ok with you if not i can totally understand

Answer 27

yeah, I can help. I just may need a minute to look at it.

Answer 28

4. https://media.glynlyon.com/g_alg02_2012/5/254.gif
a) 187 / 25
b) 109 / 25
c) 384 / 25

5. https://media.glynlyon.com/g_alg02_2012/5/270.gif
a) y / x
b) x / y
c) xy

6. https://media.glynlyon.com/g_alg02_2012/5/259.gif
a) 1 / m
b) 2m - 1 / m
c) 2m^2 - 1 / m

7. https://media.glynlyon.com/g_alg02_2012/5/255%20copy.gif
a) x + 1 / x
b) x^2 + 1 / x
c) 2x + 1 / x

Answer 29

you can take all the time you want i will be here

Answer 30

Okay! So #4 is nice and easy... it's a mixed fraction. Remember that when dealing with mixed fractions, it's easier to convert it to a full fraction before working with it.... lol

Answer 31

ok

Answer 32

So, if your fraction is in mixed form like so:
\[A\frac{b}{c}\]
to convert it to a full fraction (aka improper fraction):
\[\frac{(A*c)+b}{c}\]

Answer 33

(7*25)+12 / 25 ???

Answer 34

exactly. What does that give you?

Answer 35

4387/25

Answer 36

Hmmm... I think there was a typo in your calculator, lol. Try again. :)

Answer 37

c) 384 / 25

Answer 38

So, 7*25 = 175 .... 175+12 = 187... so your answer is?

Answer 39

187 / 25 "saying duh to myself"

Answer 40

lol, it happens to even the pros. They had to create a lense for the hubble telescope that cost them millions because they forgot light refracts in air. They've even had landers miss their targets for forgetting to convert imperial to metric...

Answer 41

so, no problem, right? lol

Answer 42

onto #5.

Answer 43

yes

Answer 44

okay, so for the next one, it looks like we are going to be multiplying by
\[\frac{xy^2}{z^2}\]
in order to simplify the expression on the left. If we do this, we'll be leaving
\[ \frac{x^2y}{z^2}\]
on the left side; so given we want the left side to equal the right, what would be a good expression to start out with on the right?

Answer 45

xy^2

Answer 46

Another way to look at this one is:
\[\frac{x^2y}{z^2}=A\frac{xy^2}{z^2}\]

Answer 47

where A is our answer.

Answer 48

ok i see now

Answer 49

so, if A= 5a (or A= y/x) does that give us equal sides?

Answer 50

yes

Answer 51

not quite... because the left and right sides would be:
\[\frac{x^2y}{z^2}=\frac{y^3}{z^2}\]

what if A= 5b?

Answer 52

not equal

Answer 53

are you sure?
\[A=\frac{x}{y}\]
\[\frac{x^2y}{z^2}=\frac{x}{y}\frac{xy^2}{z^2}\]

What would happen to the power on the right hand side?

Answer 54

*powers

Answer 55

cancel?

Answer 56

\[x*x=x^2\]
\[\frac{y^2}{y}=y\]
The powers add when multiplied and subtract when divided, right?

Answer 57

yes

Answer 58

so, in this case then, the right side simplifies to a numerator of x^2*y with a denominator of z^2; there the right equals the left, so 5b is the answer.

Answer 59

thank you can you help me with this one i found out how to do 6 & 7
https://media.glynlyon.com/g_alg02_2012/5/277.gif
a) -a^2 / b^2
b) 0
c) 1

Answer 60

sure... I can help with one more, lol

Answer 61

ok

Answer 62

So, the easy case to test is 0. If you set the right side of the equation equal to 0, through algebra, can you get the left side to equal the right?

Answer 63

so it 0 right

Answer 64

??

Answer 65

So, one of our possible answers is 5b, which is zero. So if we set the right side of the equation to zero as so:
\[(\frac{a}{b}+\frac{1}{a})(a-\frac{a^3}{a^2+b})=0\]
And we simplify it as much as possible, can we get the left side to equal the right?

Answer 66

No

Answer 67

Correct; so 5b is not our answer.

Answer 68

it is 0

Answer 69

am i correct

Answer 70

When you said "No, it is impossible to make the left side equal to the right when we start with the right side equal to zero (5b)", you were correct. Our answer cannot be 5b.

Answer 71

So the answer has to be 5a or 5c. Starting with 5b was the easiest. Which would most likely be the next easiest answer to work with? 5a or 5c?

Answer 72

thats no one of the choices

Answer 73

not*

Answer 74

Sorry; I don't mean to be confusing. I mean (a) or (c).

Answer 75

your ok and C

Answer 76

C is correct:
\[(\frac{a}{b}+\frac{1}{a})(a−\frac{a^3}{a^2+b})=1\]
So, if we simplify this, can we get the left to equal the right?

Answer 77

YES !! :)

Answer 78

just checking the math, lol. You might have been faster than me on this one. :)

Answer 79

Really lol

Answer 80

Yes! your correct! I think you've got the hang of it, lol

Answer 81

Kind Of Lol

Answer 82

I don't think they're easy problems myself; it's very easy to make an algebraic mistake. But as they say, 'practice makes perfect', right? :)

Answer 83

You Got me an A !!thanks

Answer 84

No problem, lol

Answer 85

Im taking Algebra 2 Class Online

Answer 86

Really? Which school?

Answer 87

odessyware

Answer 88

Cool! I was thinking of maybe doing some math coarses online myself; I didn't do too well in math in highschool for a number of reasons (not school related). But as you can see, it's not for a lack of ability, lol

Answer 89

yes you should do it

Answer 90

i did not do well in algebra 2 last semester so for this semster it told my guidence councler just let me take it online

Answer 91

I*

Answer 92

I have this Unit anf 1 more unit left

Answer 93

and*

Answer 94

thank god

Answer 95

lol

Answer 96

Lol