Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Quantitative : Equations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

Create An Account

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : How To Find The Solution To An Equation

Angles g and h are supplementary. Angle g is 3 times as big as angle h. What is the value of angle h?

Possible Answers:

135

Correct answer:

Explanation:

If angles g and h are supplementary, then they will add up to 180 degrees.

g+h=180

Given that angle g is 3 times as big as angle h, then:

g=3h

Therefore,

3h+h=180

4h=180

h=45

Report an Error

Example Question #41 : How To Find The Solution To An Equation

Solve for .

3x - 6 = 18

Possible Answers:

Correct answer:

Explanation:

3x - 6 = 18

In order to solve an equation, you first want to get like terms on the same sides: variables should be on one side and whole numbers on the other. To do this, you must add 6 to both sides of the equation.

3x - 6 =18

The equation will then look like this:

3x = 24

In order to solve for , you must make it so that there is only one of the variable . Since the 3 is multiplied times the variable, you must divide by 3 on both sides of the equation to remove it.

$\frac{3x}{3}=\frac{24}{3}$

$x=\frac{24}{3}=8$

The result you are left with is x=8 .

Report an Error

Example Question #165 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

If x and y are angles that are equal to each other and are also complementary, what is the value of x?

Possible Answers:

Correct answer:

Explanation:

If two angles are complementary, then they add up to 90 degrees.

Therefore, x+y=90 .

Given that x and y are equal to each other, x=y .

Thus, x+x=90 .

2x=90

x=45

Report an Error

Example Question #41 : Equations

Solve for x in the below equation:

5x+4-2x=25

Possible Answers:

x=21

x=7

x=3

x=29

Correct answer:

x=7

Explanation:

Solve for x in the below equation:

5x+4-2x=25

First we must add like terms on the left side. 5x-2x = 3x

3x+4=25

Next, we must subtract 4 from both sides.

3x=21

Lastly, we must divide both sides by 3.

x=7

Report an Error

Example Question #172 : Algebraic Concepts

3x= 12

4y=16

Which is the greater quantity?

(a)

(b)

Possible Answers:

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

3x= 12

$3x\div 3= 12 \div 3$

x= 4

4y=16

$4y \div 4 =16 \div 4$

y = 4

x= y

Report an Error

Example Question #173 : Algebraic Concepts

$\frac{2}{9} x = \frac{4}{7}$

$\frac{7}{4}y = \frac{9}{2}$

Which is the greater quantity?

(a)

(b)

Possible Answers:

(b) is the greater quantity

(a) is the greater quantity

It is impossible to determine which is greater from the information given

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

$\frac{2}{9} x = \frac{4}{7}$

$\frac{9} {2}\cdot \frac{2}{9} x = \frac{9} {2}\cdot \frac{4}{7}$

$x = \frac{9\cdot 4 } {2\cdot 7} = \frac{36}{14}$

$\frac{7}{4}y = \frac{9}{2}$

$\frac{4}{7} \cdot \frac{7}{4}y =\frac{4}{7} \cdot \frac{9}{2}$

$y =\frac{4 \cdot 9}{7 \cdot 2} = \frac{36}{14}$

x = y

Report an Error

Example Question #172 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

The lines of the equations

x+y = 17

and

x- y = 13

intersect at a point (X, Y) .

Which is the greater quantity?

(a)

(b)

Possible Answers:

(b) is the greater quantity

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) is the greater quantity

Explanation:

Since the numbers and satisfy both equations, we need only look at the second one,

x- y = 13 .

It follows that

X- Y= 13

X- Y+Y= 13 +Y

X= Y + 13

and

X> Y .

Report an Error

Example Question #174 : Algebraic Concepts

A + B = 16

Both and are prime.

Which is the greater quantity?

(a) $A \cdot B$

(b) 50

Possible Answers:

(a) and (b) are equal

(a) is the greater quantity

It is impossible to determine which is greater from the information given

(b) is the greater quantity

Correct answer:

It is impossible to determine which is greater from the information given

Explanation:

A + B = 16 , and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

$\left \{ 2, 3, 5, 7, 11, 13 \right \}$

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.

If we select A = 3 and B = 13 , or vice versa, then $AB = 3 \cdot 13 = 39 < 50$ .

If we select A = 5 and B = 11 , or vice versa, then $AB = 5 \cdot 11 = 55 > 50$ .

Therefore, it is unclear whether or 50 is greater.

Report an Error

Example Question #42 : Equations

and are both positive integers. is a prime number and is a composite number.

x+ y= 14

Which is the greater quantity?

(a)

(b)

Possible Answers:

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(a) is the greater quantity

(b) is the greater quantity

Correct answer:

(b) is the greater quantity

Explanation:

A prime number is a number with exactly two factors - 1 and itself.

If and are both positive integers whose sum is 14, then each is an integer from 1 to 13 inclusive. The prime numbers in this range are 2, 3, 5, 7, 11, and 13. x+y = 14 , so y = 14 - x , and this must be a composite number - one which has more than two factors.

Taking each case:

x= 2

y = 14-2 = 12

x= 3

y = 14-3 = 11

x= 5

y = 14-5 = 9

x= 7

y = 14-7 = 7

x= 11

y = 14-11 = 3

x= 13

y = 14-13= 1

The only two prime values of that yields a composite are x=2 and x = 5 . in both cases, y > x .

Report an Error

Example Question #175 : Algebraic Concepts

$A ^{2} = 64$

|B| = 8

Which is the greater quantity?

(a)

(b)

Possible Answers:

It is impossible to determine which is greater from the information given

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

Correct answer:

It is impossible to determine which is greater from the information given

Explanation:

$A ^{2} = 64$ , so is the positive or negative square root of 64; those are 8 and , respectively.

Two numbers - and 8 - have absolute value 8, so if |B| = 8 , either B = -8 or B = 8 .

$A \in \left \{ -8, 8\right \}$ and $B \in \left \{ -8, 8\right \}$ , but without further information, it cannot be determined which is the greater, if either.

Report an Error

View Tutors

Yongmao
Certified Tutor

Nankai University, Bachelor of Science, Chemistry. Washington University in St Louis, Doctor of Philosophy, Organic Chemistry.

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Spanish Tutors in Dallas Fort Worth, SSAT Tutors in Miami, Math Tutors in Chicago, Calculus Tutors in Seattle, Algebra Tutors in Houston, MCAT Tutors in San Francisco-Bay Area, Statistics Tutors in Washington DC, Spanish Tutors in Boston, Reading Tutors in Boston, Chemistry Tutors in Atlanta

Popular Courses & Classes

GMAT Courses & Classes in Atlanta, GMAT Courses & Classes in Phoenix, Spanish Courses & Classes in Atlanta, GMAT Courses & Classes in Houston, MCAT Courses & Classes in Atlanta, SAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Houston, GRE Courses & Classes in Washington DC, MCAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Philadelphia

Popular Test Prep

SSAT Test Prep in Philadelphia, GMAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in New York City, ISEE Test Prep in Philadelphia, ISEE Test Prep in Los Angeles, LSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Seattle, ISEE Test Prep in Denver, ACT Test Prep in Phoenix, ISEE Test Prep in Miami

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

ISEE Middle Level Quantitative : Equations

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #41 : How To Find The Solution To An Equation

Example Question #41 : How To Find The Solution To An Equation

Example Question #165 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #41 : Equations

Example Question #172 : Algebraic Concepts

Example Question #173 : Algebraic Concepts

Example Question #172 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #174 : Algebraic Concepts

Example Question #42 : Equations

Example Question #175 : Algebraic Concepts

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: