Last visit was: 07 Apr 2025, 10:32 It is currently 07 Apr 2025, 10:32
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

If k is equal to the sum of (2x + 1)2 and

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 31489
Own Kudos [?]: 37682 [0]
Given Kudos: 26234
Send PM
If k is equal to the sum of (2x + 1)2 and [#permalink] New post   31 Aug 2021, 10:16
Expert Reply
00:00

Question Stats:

83% (01:00) correct 16% (01:17) wrong based on 18 sessions

Hide Show timer Statistics

If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?

(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)


Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
ShowHide Answer
Official Answer
E
User avatar
G
motion2020
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Own Kudos [?]: 382 [1]
Given Kudos: 64
GRE 1: Q160 V152
Send PM
Re: If k is equal to the sum of (2x + 1)2 and [#permalink] New post   31 Aug 2021, 17:18
1
\(4x^2+4x+1+x^2-4x+4=5x^2+5=k\)

\(k/5=x^2+1\) and answer is E
Carcass wrote:
If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?

(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)


Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12348 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: If k is equal to the sum of (2x + 1)2 and [#permalink] New post   11 Nov 2021, 12:47
Carcass wrote:
If k is equal to the sum of \((2x + 1)^2\) and \((x − 2)^2\), which of the following is equal to the value of \(\frac{k}{5}\) ?

(A) x(x − 1)
(B) x(x + 1)
(C) (x − 1)(x + 1)
(D) (x − 1)^2
(E) \(x^2 + 1\)


Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book

Given: \(k=(2x + 1)^2+ (x − 2)^2\)

Expand and simplify both powers: \(k=(4x^2+4x+1)+ (x^2-4x+4)\)

Simplify: \(k=5x^2+5\)

From here we can divide both sides by 5 to get: \(\frac{k}{5}=\frac{5x^2+5}{5}=x^2+1\)

Answer: E
Prep Club for GRE Bot
gmatclubot
Re: If k is equal to the sum of (2x + 1)2 and [#permalink]
11 Nov 2021, 12:47
Moderators:
adewale223
GRE Instructor
108 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1131 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