BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

If xy < 0 and yz > 0, what is the following equation?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times
by Max@Math Revolution » Mon Feb 24, 2020 12:48 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

[GMAT math practice question]

If x/y < 0 and y/z > 0, what is the following equation?
|xy - yz| - \(\sqrt{\left(yz-xz\right)^2}\) + |xy| + \(\sqrt{\left(xy\right)^2}\)

A. -x
B. -2y
C. x + y
D. -2xy
E. y
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times

Re: If xy < 0 and yz > 0, what is the following equation?

by Max@Math Revolution » Wed Feb 26, 2020 12:45 am
=>

Since xy < 0 and y/z > 0, x and y have different signs, and y and z have the same sign. Then we have xy < 0, yz > 0 and xz < 0.
|xy-yz| - \(\sqrt{\left(yz-xz\right)^2}\) + |xy| + \(\sqrt{\left(xz\right)^2}\)
= |xy – yz| - |yz – xz| + |xy| + |xz|
= -(xy - yz) – (yz - xz) – xy – xz, since xy - yz < 0, yz - xz >0, xy < 0 and xz < 0
= -xy + yz – yz + xz – xy – xz
= -2xy

Therefore, D is the answer.
Answer: D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1