Last visit was: 26 Dec 2024, 14:28 It is currently 26 Dec 2024, 14:28
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Which is greater (2x-11)(2x+11)/4

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30513
Own Kudos [?]: 36867 [0]
Given Kudos: 26109
Send PM
Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 08:56
Expert Reply
00:00

Question Stats:

69% (00:53) correct 30% (01:00) wrong based on 39 sessions

Hide Show timer Statistics

Quantity A
Quantity B
\(\frac{(2x-11)(2x+11)}{4}\)
\((x-11)(x+11)\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
A
avatar
LT2018
Intern
Intern
Joined: 02 Mar 2019
Posts: 45
Own Kudos [?]: 13 [0]
Given Kudos: 0
Send PM
Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 13:48
Solution please?
Thanks so much
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Which is greater (2x-11)(2x+11)/4 [#permalink] New post   22 Apr 2019, 14:38
2
Carcass wrote:
Quantity A
Quantity B
\(\frac{(2x-11<}{div>
2x+11)/4}\))(\((x-11)(x+11)\)



We can solve this question using matching operations

Given:
Quantity A: \(\frac{(2x-11)(2x+11)}{4}\)

Quantity B: \((x-11)(x+11)\)

Multiply both quantities by 4 to get:
Quantity A: \((2x-11)(2x+11)\)
Quantity B: \((4)(x-11)(x+11)\)

Expand and simplify both quantities to get:
Quantity A: \(4x^2 - 121\)
Quantity B: \(4x^2 - 484\)

Subtract \(4x^2\) from both quantities to get:
Quantity A: \(-121\)
Quantity B: \(-484\)

Answer: A

Cheers,
Brent

RELATED VIDEO
avatar
LT2018
Intern
Intern
Joined: 02 Mar 2019
Posts: 45
Own Kudos [?]: 13 [0]
Given Kudos: 0
Send PM
Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   23 Apr 2019, 04:17
Thank you so much for the explanation, Brent! :)
avatar
almondspeeing
Intern
Intern
Joined: 06 Feb 2019
Posts: 16
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   10 Aug 2019, 12:45
Should we not consider different values of x, say x=0 and such?
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: Which is greater (2x-11)(2x+11)/4 [#permalink] New post   10 Aug 2019, 12:48
almondspeeing wrote:
Should we not consider different values of x, say x=0 and such?


Sure, you can test all sorts of x-values (including x = 0).
When you do that, you'll find that Quantity A is always greater.
Prep Club for GRE Bot
gmatclubot
Re: Which is greater (2x-11)(2x+11)/4 [#permalink]
10 Aug 2019, 12:48
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact