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 #31 : Equations

4A + 30 = 76 - 4B

Evaluate A + B .

Possible Answers:

$11 \frac{1}{2}$

$26 \frac{1}{2}$

$-26 \frac{1}{2}$

It is impossible to evaluate A + B from the information given

$-11 \frac{1}{2}$

Correct answer:

$11 \frac{1}{2}$

Explanation:

We will not be able to solve for the values of and ; instead, we need to group them together by reorganizing the equation.

4A + 30 = 76 - 4B

Start by adding and subtracting on each side. This will allow both variables to be on the left and both whole numbers to be on the right.

4A + 30 + 4B - 30 = 76 - 4B + 4B - 30

4A + 4B = 76 - 30

4A + 4B = 46

can be factored out of the left side.

$4\left ( A + B \right )= 46$

Divide both sides by .

$4\left ( A + B \right ) \div 4 = 46\div 4$

$A + B = 11 \frac{1}{2}$

Report an Error

Example Question #151 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Divide 1,000 by 30. The quotient is ; the remainder is . Which is the greater quantity?

(A)

(B)

Possible Answers:

(A) and (B) are equal

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

(A) is greater

(B) is greater

Correct answer:

(A) is greater

Explanation:

First, divide:

$1,000 \div 30 = 33 \textrm{ R } 10$

Q = 33 and R = 10 , so Q > R .

(A) is greater.

Report an Error

Example Question #154 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

A + 9 = B - 7

Evaluate A + B .

Possible Answers:

{2}

It is impossible to evaluate A + B from the information given

Correct answer:

It is impossible to evaluate A + B from the information given

Explanation:

We cannot solve for and on their own. Instead, we need to reorganize the equation to find A + B .

A + 9 = B - 7

A+9-B-9=B-7-B-9

A-B=-7-9

It quickly becomes clear that we cannot solve for A + B with certainty.

If A = 2 and B = 18 , then

A + 9 = B - 7 , since

2 + 9 = 18 - 7 = 11

This makes A + B = 2 + 18= 20

If A = 3 and B = 19 , then

A + 9 = B - 7 , since

3 + 9 = 19 - 7 = 12

This makes A + B = 3+ 19 = 22

Therefore, A + B cannot be evaluated with certainty.

Report an Error

Example Question #31 : Equations

Divide 200 by 17. The quotient is ; the remainder is . Which is the greater quantity?

(A)

(B)

Possible Answers:

(A) and (B) are equal

(A) is greater

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

(B) is greater

Correct answer:

(B) is greater

Explanation:

$200 \div 17 = 11 \textrm{ R }13$

A = 11 and B = 13 .

B > A and (B) the greater quantity.

Report an Error

Example Question #34 : Equations

If y = -7 , then how many integers can be substituted for to make the equation $x^{2} + y^{2} = 0$ a true statement?

Possible Answers:

Zero

One

Two

Infinitely many

It cannot be determined from the information given

Correct answer:

Zero

Explanation:

If y = -7 , the equation can be restated and solved as follows:

$x^{2} + y^{2} = 0$

$x^{2} + (-7)^{2} = 0$

$x^{2} + 49 = 0$

$x^{2} + 49 - 49 = 0 - 49$

$x^{2} = - 49$

However, no integer can be squared to yield a negative result; therefore, there is no solution, and the correct response is "zero."

Report an Error

Example Question #32 : Equations

How many elements of the set $\left \{ 1, 2, 3, 4, 5 \right \}$ can be substituted for to make the inequality 4y < 15 a true statement?

Possible Answers:

None

Two

Three

One

Four

Correct answer:

Three

Explanation:

4y < 15

$4y \div 4 < 15 \div 4$

$y < 3 \frac{3}{4}$

Three elements of the set—1, 2, and 3—fit this criterion.

Report an Error

Example Question #33 : Equations

-7K = 91

-6M = 72

Which is greater?

(A)

(B)

Possible Answers:

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

(A) is greater

(B) is greater

(A) and (B) are equal

Correct answer:

(B) is greater

Explanation:

-7K = 91

$-7K\div (-7) = 91 \div (-7)$

K= -13

-6M = 72

$-6M \div (-6) = 72 \div (-6)$

M = -12

13 > 12 , so -12 > -13 .

Therefore M > K , so (B) is greater.

Report an Error

Example Question #33 : Equations

How many elements of the set $\left \{ -2, -1, 0, 1, 2 \right \}$ can be substituted for to make the inequality -6y > 12 a true statement?

Possible Answers:

One

Four

Five

Two

None

Correct answer:

None

Explanation:

-6y > 12

$-6y \div (-6) < 12 \div (-6)$ (Note that the inequality symbol switches here.)

y < -2

None of the elements of $\left \{ -2, -1, 0, 1, 2 \right \}$ fit this criterion.

Report an Error

Example Question #37 : Equations

If y = 3 , then how many integers can be substituted for to make the equation $x^{3} + y^{3} = 0$ a true statement?

Possible Answers:

Three

Zero

One

Infinitely many

Two

Correct answer:

One

Explanation:

If y = 3 , then the equation can be rewritten and solved as follows:

$x^{3} + y^{3} = 0$

$x^{3} + 3^{3} = 0$

$x^{3} + 27= 0$

$x^{3} + 27- 27 = 0 - 27$

$x^{3} = - 27$

The only integer that can be substituted for to make this true is x = -3 , so the correct response is "one".

Report an Error

Example Question #34 : Equations

If a and b are complementary angles, what is the value of a if b is equal to 33 degrees?

Possible Answers:

Correct answer:

Explanation:

Complementary angles add up to 90 degrees. Therefore, a+b=90 .

Given that b is equal to 33 degrees, the equation is:

a+33=90

Next, 33 should be subtracted from each side of the equation.

a=57

Therefore, 57 is the correct answer.

Report an Error

View Tutors

Aaron
Certified Tutor

Portland State University, Bachelors, Economics. Portland State University, Masters, Environmental and Resource Management.

View Tutors

Yongmao
Certified Tutor

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

View Tutors

Jeffrey
Certified Tutor

Brigham Young University-Provo, Bachelor of Science, Electrical Engineering. City University of Seattle, Master of Science, P...

All ISEE Middle Level Quantitative Resources

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

Popular Subjects

SAT Tutors in Washington DC, Calculus Tutors in Phoenix, Chemistry Tutors in Houston, SSAT Tutors in San Francisco-Bay Area, LSAT Tutors in Dallas Fort Worth, French Tutors in San Francisco-Bay Area, MCAT Tutors in Chicago, Physics Tutors in Houston, SSAT Tutors in Los Angeles, Computer Science Tutors in Atlanta

Popular Courses & Classes

GRE Courses & Classes in Miami, GMAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Seattle, GMAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Diego, LSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Houston, Spanish Courses & Classes in Atlanta

Popular Test Prep

ISEE Test Prep in Miami, GRE Test Prep in San Diego, GMAT Test Prep in Boston, SAT Test Prep in Chicago, GRE Test Prep in Denver, SSAT Test Prep in Atlanta, LSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Dallas Fort Worth, MCAT Test Prep in Chicago, LSAT Test Prep in San Diego

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 #31 : Equations

Example Question #151 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #154 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Example Question #31 : Equations

Example Question #34 : Equations

Example Question #32 : Equations

Example Question #33 : Equations

Example Question #33 : Equations

Example Question #37 : Equations

Example Question #34 : Equations

All ISEE Middle Level Quantitative Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: