Question

Which expressions are equivalent to the one below? Check all that apply.

10x
A. 50x/5x
B. 10 • 10x - 1
C. 10 • 10x + 1
D. 50x/5
E. (50/5)x
F. x5

Answer 1

Imagine if the variable x were to be equivalent to 1 or 2. Input that into 10x (giving you 10 or 20) then try that same method on the answer choices and the answer will be the one that matches your 10x :)

Answer 2

but three are correct

Answer 3

It says, Check all that apply.

that means there are more than one right answer

Answer 4

Which ones do you think are correct?

Answer 5

a, d, and e?

Answer 6

\[\frac{x}{x} = 1\]

Answer 7

do you follow?

Answer 8

no.. i don't get these

Answer 9

a number divided by itself would be 1
so x/x would become 1 times what ever else was attached to it
and there would be no x left ("a" cough)

Answer 10

Well you are mostly right.

You seem to get this :) dont be so critical.

what I am trying to say is variables divide out.

Exponent rules:

\[x^{0} = 1\]
anything to the power of 0 is equal to 1

\[x^{1} = x\]
\[x^{2} = x*x\]
\[x^{3} = x*x*x\]
etc

\[x^{a}x^{b} = x^{a+b}\]

\[\frac{x^{a}}{x^{b}} = x^{a}x^{-b} = x^{a + (-b)} = x^{a - b}\]

\[x^{-1} = \frac{1}{x^1} = \frac{1}{x}\]

\[\frac{1}{x^{-1}} = x^{1} = x\]

Examples:
\[\frac{34x^2}{x} = 34x\]

\[x^5x^3 = x^{5+3} = x^{8}\]

Answer 11

more examples:

anything raised to the power of 0 is 1:
\[(3 + x + 3b)^{0} = 1\]


\[\frac{(3+x)}{x+2} = (3+x)(x+2)^{-1}\]

Answer 12

does this help?

Answer 13

It takes me so long to comprehend math

Answer 14

do the answers have to equal the same thing?

Answer 15

yes

Answer 16

they all have to equal 10x

Answer 17

Look at your answers and then look at the rules I gave you

Answer 18

you are on the right track :)

Answer 19

so i would still go with those answers

Answer 20

i don't see why I wouldn't?

Answer 21

ThatGirl, please don't forget to rate Australopithecus so he can get his reward!

Answer 22

@thatgirlaggie Reconsider choice A

50x/5x can be rewritten as (50/5)*(x/x)

as mentioned, (x/x)=1
and since 50/5 = 10

(50/5)*(x/x) would equal 10 (no x)

Answer 23

your answers are:

\[\frac{50x}{5x}\]

\[\frac{50x}{5}\]

\[(\frac{50}{5})x\]


Multiplication of fraction rule:
Note you can divide anything by 1 to make it into a fraction:
\[x = \frac{x}{1}\]

example:
\[62 = \frac{62}{1}\]


Multiplication of fractions rule:
\[\frac{a}{b}*\frac{b}{c} = \frac{a*b}{b*c}\]

example using both
\[\frac{52x}{3}*52 = \frac{52x}{3}*\frac{52}{1} = \frac{52x*52}{3*1}\]

Answer 24

I am giving you rules so you can do these problems I hope that you take the time to review them, it should help you quite a bit, note a, b an x are all just numbers

Answer 25

I'm reviewing them and I see what you're saying

Answer 26

But yes the answer is D and E

\[\frac{50x}{5x} = 10*x^{1-1} = 10*x^{0} = 10 \neq 10x\]

Answer 27

so because A has two x's, there are only two answers?

Answer 28

yes

Answer 29

i'd say d and e
and feel like an idiot now that i get it
THANK YOU!!

Answer 30

the x cancels out in one of them and you end up with just 10

Answer 31

A has x's that cancel out which is why it does Not work :)

Answer 32

Don't forget to Rate @Australopithecus for their wonderful help :)

Answer 33

how do I rate you?

Answer 34

top of screen, orange box, "Rate a Qualified Helper"

Answer 35

Yeah algebra is pretty simple, I recommend looking up alebra rules and to look at them as you work through these problems. It should help you significantly

Answer 36

That was wrong

Answer 37

it was A, C, and E

Answer 38

Well they made a mistake lol

Answer 39

contact your instructor

Answer 40

it's a computer. Apex

Answer 41

could there have been any typos in your question/options?

Answer 42

perhaps the ^2 did not come through a copy paste in 50x^2/5x ?

Answer 43

perhaps

Answer 44

If that is exactly how it is written and you are being graded by this you should contact their support.

Answer 45

A,C and E can't be right. Check your question. (-:

Answer 46

what is this section of questions?

Answer 47

Great explanation Australopithecus!

Answer 48

Thank you Preetha