GRE Math : GRE Quantitative Reasoning

Study concepts, example questions & explanations for GRE Math

Create An Account

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Find The Equation Of A Perpendicular Line

If a line has an equation of $2y=3x+3$ , what is the slope of a line that is perpendicular to the line?

Possible Answers:

$-2$

$-\frac{3}{2}$

$\frac{3}{2}$

$-\frac{2}{3}$

$3$

Correct answer:

$-\frac{2}{3}$

Explanation:

Putting the first equation in slope-intercept form yields $y=\frac{3}{2}x+\frac{3}{2}$ .

A perpendicular line has a slope that is the negative inverse. In this case, $-\frac{2}{3}$ .

Report an Error

Example Question #1 : How To Find Out When An Equation Has No Solution

$\frac{x+2}{3}=\frac{x}{3}$ Solve for .

Possible Answers:

No solutions.

Correct answer:

No solutions.

Explanation:

Cross multiplying leaves 3x+6=3x , which is not possible.

Report an Error

Example Question #31 : Algebra

If $\$$ is defined for all numbers and to be $x\$y$ $x^2 - 2xy$ , then what is $4\$2$ ?

Possible Answers:

Correct answer:

Explanation:

In evaluating, we can simply plug in 4 and 2 for and respectively. We then get 16-16=0 .

Report an Error

Example Question #34 : How To Find The Solution To An Equation

Internet service costs $0.50 per minute for the first ten minutes and is $0.20 a minute thereafter. What is the equation that represents the cost of internet in dollars when time is greater than 10 minutes?

Possible Answers:

5.00 + 0.20 (x)

10 + 0.20 (x-10)

5 + 0.20 (x+10)

5.00 + 0.20 (x-10)

5.00

Correct answer:

5.00 + 0.20 (x-10)

Explanation:

The first ten minutes will cost $5. From there we need to apply a $0.20 per-minute charge for every minute after ten. This gives

$\$0.20(x-10)+5$ .

Report an Error

Example Question #35 : How To Find The Solution To An Equation

John goes on a trip of kilometers at a speed of kilometers an hour. How long did the trip take?

Possible Answers:

c/b

b/c

c-b

c+b

b-c

Correct answer:

b/c

Explanation:

If we take the units and look at division, miles/(miles/hour) will yield hours as a unit. Therefore the answer is b/c .

Report an Error

Example Question #36 : How To Find The Solution To An Equation

With a $25\ mph$ head wind a plane can fly a certain distance in five hours. The return flight takes an hour less. How fast was the plane flying?

Possible Answers:

$225\ mph$

$125\ mph$

$300\ mph$

$175\ mph$

$275\ mph$

Correct answer:

$225\ mph$

Explanation:

In general, $distance=rate\times time$ .

The distance is the same going and coming; however, the head wind affects the rate. The equation thus becomes $(r-25)\times 5=(r+25)\times 4$ .

Solving for $r$ gives $r=225\ mph$ .

Report an Error

Example Question #32 : Algebra

How much water should be added to $2\ L$ of 90% cleaning solution to yield 50% cleaning solution?

Possible Answers:

$0.8\ L$

$1.6\ L$

$1.5\ L$

$2.4\ L$

$1.2\ L$

Correct answer:

$1.6\ L$

Explanation:

Pure water is 0% and pure solution 100%. Let $x$ = water to be added.

$V_{1}P_{1} + V_{2}P_{2} = V_{f}P_{f}$ in general where $V$ is the volume and $P$ is the percent.

So the equation to solve becomes $x(0)+2(0.90)= (x+2)(0.50)$

and $x=1.6\ L$

Report an Error

Example Question #33 : Algebra

Solve $x+2y=14$ and $2x+y=13$

Possible Answers:

$(-4,-5)$

$(5,4)$

$(4,5)$

$(1,3)$

$(3,2)$

Correct answer:

$(4,5)$

Explanation:

This problem is a good example of the substitution method of solving a system of equations. We start by rewritting the first equation in terms of $x$ to get $x=14-2y$ and then substutite the $x$ into the second equation to get

$2(14-2y)+y=13$ .

Solving this equation gives $y=5$ and substituting this value into one of the original equations gives $x=4$ , thus the correct answer is $(4,5)$ .

Report an Error

Example Question #34 : Algebra

Joy bought some art supplies. She bought colored pencils for $1.25 per box and sketch pads for $2.25 each. Joy bought one more sketch pad than colored pencil boxes and spent $9.25. How many sketch pads did she buy?

Possible Answers:

$5$

$2$

$4$

$1$

$3$

Correct answer:

$3$

Explanation:

Let $x$ = # of color pencil boxes and $x+1$ = # of sketch pads purchased.

So the equation to solve becomes $1.25x+2.25(x+1)=9.25$ .

Solving this equations leads to 2 colored pencil boxes and 3 sketch pads.

Report an Error

Example Question #35 : Algebra

$\left | 2x - 3 \right |-x= 5$

Possible Answers:

$x=8\ or\ x=-\frac{2}{3}$

$x=-\frac{2}{3}$

$x=-8$

$x=-8\ or \ x=-\frac{3}{2}$

$x=8$

Correct answer:

$x=8\ or\ x=-\frac{2}{3}$

Explanation:

This question deals with absolute value equations which will normally gives you two solutions.

You need to solve two sets of equations for absolute value problems:

$2x-3 = x+5$

and

$2x-3=-\left ( x+5 \right )$

Report an Error

All GRE Math Resources

13 Diagnostic Tests 452 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in Atlanta, French Tutors in Chicago, GRE Tutors in Miami, GRE Tutors in Washington DC, Spanish Tutors in San Francisco-Bay Area, SAT Tutors in Philadelphia, Algebra Tutors in Miami, Biology Tutors in Chicago, ISEE Tutors in Houston, Computer Science Tutors in New York City

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, SAT Courses & Classes in Washington DC, ACT Courses & Classes in Denver, Spanish Courses & Classes in Washington DC, MCAT Courses & Classes in San Diego, LSAT Courses & Classes in Seattle, ACT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Atlanta, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Boston

Popular Test Prep

ACT Test Prep in Atlanta, LSAT Test Prep in Phoenix, ACT Test Prep in Denver, SAT Test Prep in Washington DC, LSAT Test Prep in Seattle, LSAT Test Prep in Los Angeles, ISEE Test Prep in Washington DC, SAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Washington DC, GMAT Test Prep in Seattle

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

Email address:
Your name:
Feedback:

GRE Math : GRE Quantitative Reasoning

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #2 : How To Find The Equation Of A Perpendicular Line

Example Question #1 : How To Find Out When An Equation Has No Solution

Example Question #31 : Algebra

Example Question #34 : How To Find The Solution To An Equation

Example Question #35 : How To Find The Solution To An Equation

Example Question #36 : How To Find The Solution To An Equation

Example Question #32 : Algebra

Example Question #33 : Algebra

Example Question #34 : Algebra

Example Question #35 : Algebra

All GRE Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details