Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Variables

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #61 : Variables

Simplify the following expression:

2x*5y

Possible Answers:

The expression is already reduced.

7x*7y

10x*10y

10x+10y

10xy

Correct answer:

10xy

Explanation:

When you multiple variables, the constants will be multiplied together and the variables will be combined.

So that means that

2*5=10

and

x*y=xy

so that leaves us with a final answer of

10xy .

Report an Error

Example Question #62 : Variables

Simplify the following expression:

(4b^2cl^6)(2bc^2l^3)

Possible Answers:

8b^3c^3l^9

6b^3c^3l^9

$8b^2c^2l^{18}$

8b^4c^4l^9

Correct answer:

8b^3c^3l^9

Explanation:

Simplify the following expression:

(4b^2cl^6)(2bc^2l^3)

We can simplify this by combining like terms. We need to multiply the two pieces in parentheses.

We can only combine variables with the same base.

To multiply variables we must add their exponents.

The integers (whole numbers) can be combined via standard multiplication.

So, we should get the following:

(4b^2cl^6)(2bc^2l^3)=8b^3c^3l^9

So our answer is:

8b^3c^3l^9

Report an Error

Example Question #63 : Variables

Simplify the following expression:

6y (3y-2)

Possible Answers:

$18y^{2} - 12$

$18y^{2} + 12y$

$18y^{2} - 12y$

$18y-12y^{2}$

Correct answer:

$18y^{2} - 12y$

Explanation:

To solve 6y (3y-2) distribute the to each term in the parenthesis. Remember: When multiplying variables add the exponents.

$6y \times 3y = 18y^{^{2}}$

$6y\times-2 = -12y$

Rewrite:

$18y^{2} - 12y$

Report an Error

Example Question #64 : Variables

$15t \times 3t^{4} =$

Possible Answers:

$45t^{5}$

$45t^{4}$

$12t^{4}$

$18t^{5}$

Correct answer:

$45t^{5}$

Explanation:

$15t\times3t^{4} =$

Multiply the coefficients of the variable

$15 \times 3 = 45$

Then multiply the variables by adding the exponents:

$t \times 3t^{4} = t^{1+4} = t^{5}$

$45t^{5}$ is the correct answer.

Report an Error

Example Question #65 : Variables

$-4x (-2x^{2} +3y -4) =$

Possible Answers:

$8x^{3} +12xy -16x$

$8x^{2} -12xy +16x$

$8x^{3} -12xy +16x$

$-8x^{3} -12xy + 16y$

Correct answer:

$8x^{3} -12xy +16x$

Explanation:

First distribute the -4x to all terms in the parenthesis.

$(-4x \times -2x^{2}) + (-4x \times 3y) + (-4x \times -4)$

$(-4x \times -2x^{2}) = 8x ^{1+2} = 8x^{3}$ (When multiplying variables with exponents, the exponents are added together).

$(-4x \times 3y) = -4\times 3 \times x\times y = -12xy$

-4x (-4) = 16x

$8x^{3} -12xy + 16x$

Report an Error

Example Question #66 : Variables

$(-6x^{4}y^{2}) \times (-3x^{2}y^{2})=$

Possible Answers:

$18x^{8}y^{4}$

$-9x^{6}y^{4}$

$-18x^{6}y^{4}$

$18x^{6}y^{4}$

Correct answer:

$18x^{6}y^{4}$

Explanation:

To solve $(-6x^{4}y^{2}) \times(-3x^{2}y^{2})$

Separate the parts of the terms. Multiply the coefficients:

$-6 \times - 3 = 18$

Multiply the terms with as the variable. When multiplying, the exponents get added.

$x^{4}\times x^{2} = x^{4+2} = x^{6}$

Multiply the terms with as the variable. When multiplying, the exponents get added.

$y^{2}\times y^{2} = y^{2+2} = y^{4}$

Put it all together:

$18x^{6}y^{4}$

Report an Error

Example Question #67 : Variables

The length of a rectangle is and the width is 9{y}. What is the area of this rectangle?

Possible Answers:

36y

26y

$36y^{2}$

13y

Correct answer:

$36y^{2}$

Explanation:

The formula for the Area of a rectangle is length times width or l x w. Multiply the length which is times the width which is 9y.

First multiply

$4 \times 9 =36$

Then multiply the variables; add the exponents:

$y\timesy = y^{1+1} = y^{2}$

Area or A of the rectangle is

$36y^{2}$

Report an Error

Example Question #68 : Variables

The length of a rectangular prism is centimeters. The width is centimeters. The height is centimeters. Find the volume of this rectangular prism.

Possible Answers:

$9x^{3}centimeters^{3}$

$240 centimeters^{3}$

$240x^{3} centimeters^{3}$

$19x^{3} centimeters ^{3}$

Correct answer:

$240x^{3} centimeters^{3}$

Explanation:

The volume of a rectangular prism is determined by using the formula

V = length x width x height

$8 \times 6\times 5 = 240$

$x \ast x \ast x = x^{1+1+1} =x^{3}$

$240x^{3} centimeters^{3}$

Report an Error

Example Question #69 : Variables

Multiply the following:

$x \cdot 3x$

Possible Answers:

3x^2

x^2

Correct answer:

3x^2

Explanation:

When multiplying variables, we multiply them together just like we would integers. We have

$x \cdot 3x$

The first term isn't showing a coefficient, so it is automatically 1. So,

$1x \cdot 3x$

Now, we will multiply the coefficients together, then we multiply the variables together.

So, we get

$1x \cdot 3x = (1 \cdot 3)(x \cdot x) = 3x^2$

Report an Error

Example Question #70 : Variables

Simplify the following expression:

$9x^3t^7*4x^5t^{12}$

Possible Answers:

$36x^8t^{19}$

$9x^8t^{19}$

$36x^8t^{84}$

$13x^8t^{19}$

Correct answer:

$36x^8t^{19}$

Explanation:

Simplify the following expression:

$9x^3t^7*4x^5t^{12}$

Let's begin by rewriting the expression with similar terms next to each other.

$(9*4)(x^3*x^5)(t^7*t^{12})$

Next, multiply the terms out.

Our first pair of terms is just like regular multiplication.

For the next two terms, we need to add the exponents.

In doing so, we get:

$36x^8t^{19}$

Report an Error

View Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View Tutors

Gregory
Certified Tutor

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

View Tutors

Reza
Certified Tutor

University of Sherbrooke, Doctor of Philosophy, Mathematics. University of Manitoba, Master of Science, Mathematics.

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Phoenix, Chemistry Tutors in Chicago, Computer Science Tutors in Washington DC, MCAT Tutors in Atlanta, Biology Tutors in Seattle, LSAT Tutors in Phoenix, Computer Science Tutors in Phoenix, GRE Tutors in New York City, GRE Tutors in Miami, ISEE Tutors in Dallas Fort Worth

Popular Courses & Classes

GRE Courses & Classes in Denver, ISEE Courses & Classes in Atlanta, GMAT Courses & Classes in San Diego, GMAT Courses & Classes in Phoenix, Spanish Courses & Classes in Seattle, GRE Courses & Classes in New York City, ACT Courses & Classes in Miami, Spanish Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in Chicago

Popular Test Prep

ISEE Test Prep in Los Angeles, SSAT Test Prep in Los Angeles, SAT Test Prep in New York City, GMAT Test Prep in San Diego, ACT Test Prep in Chicago, GRE Test Prep in San Diego, ISEE Test Prep in Dallas Fort Worth, LSAT Test Prep in Washington DC, ACT Test Prep in San Diego, GMAT Test Prep in San Francisco-Bay Area

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 Math : Variables

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #61 : Variables

Example Question #62 : Variables

Example Question #63 : Variables

Example Question #64 : Variables

Example Question #65 : Variables

Example Question #66 : Variables

Example Question #67 : Variables

Example Question #68 : Variables

Example Question #69 : Variables

Example Question #70 : Variables

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: