Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to multiply integers

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #84 : Integer Operations

The quantity x varies directly with y. If x is 26 when y is 100, find x when y is 200.

Possible Answers:

6.5

104

Correct answer:

Explanation:

We must set up a proportion. Since x varies directly with y, when y is multiplied by 2, x is also multiplied by 2. 26 times 2 is 52.

Direct variation: $\frac{x_1}{x_2}=\frac{y_1}{y_2}$ $\displaystyle \frac{x_1}{x_2}=\frac{y_1}{y_2}$

$\frac{26}{x_2}=\frac{100}{200}$ $\displaystyle \frac{26}{x_2}=\frac{100}{200}$

$\frac{26}{x_2}=\frac{1}{2}$ $\displaystyle \frac{26}{x_2}=\frac{1}{2}$

$\displaystyle x_2=2(26)=52$

Report an Error

Example Question #1 : Simplifying Radicals

$Simplify \;\sqrt{396}$ $\displaystyle Simplify \;\sqrt{396}$

Possible Answers:

$17\sqrt{2}$ $\displaystyle 17\sqrt{2}$

$11\sqrt{2}$ $\displaystyle 11\sqrt{2}$

$36\sqrt{11}$ $\displaystyle 36\sqrt{11}$

$6\sqrt{11}$ $\displaystyle 6\sqrt{11}$

Correct answer:

$6\sqrt{11}$ $\displaystyle 6\sqrt{11}$

Explanation:

\(\displaystyle Factor\; 396\; under\; the\; radical\; sign\)\(\displaystyle \sqrt{396}\)  =  \(\displaystyle \sqrt{36\times 11}\)  =  \(\displaystyle \sqrt{6^{2}\times 11}\)

=\(\displaystyle \sqrt{6^2}\sqrt{11}\)
=\(\displaystyle 6\sqrt{11}\)

Report an Error

Example Question #2 : Factoring Radicals

Simplify the radical.

$\small \sqrt{128}$ $\displaystyle \small \sqrt{128}$

Possible Answers:

$\small 8\sqrt2$ $\displaystyle \small 8\sqrt2$

$\small 4\sqrt2$ $\displaystyle \small 4\sqrt2$

$\small 8\sqrt{132}$ $\displaystyle \small 8\sqrt{132}$

Cannot be simplified further.

$\small 4\sqrt{32}$ $\displaystyle \small 4\sqrt{32}$

Correct answer:

$\small 8\sqrt2$ $\displaystyle \small 8\sqrt2$

Explanation:

$\small \sqrt{128}$ $\displaystyle \small \sqrt{128}$

Find the factors of 128 to simplify the term.

$\small 64*2=128$ $\displaystyle \small 64*2=128$

We can rewrite the expression as the square roots of these factors.

$\sqrt{128}=\sqrt{64}*\sqrt{2}$ $\displaystyle \sqrt{128}=\sqrt{64}*\sqrt{2}$

Simplify.

$\sqrt{64}*\sqrt{2}=8\sqrt{2}$ $\displaystyle \sqrt{64}*\sqrt{2}=8\sqrt{2}$

Report an Error

Example Question #8 : Factoring Radicals

Simplify the radical.

$\small \sqrt{50}$ $\displaystyle \small \sqrt{50}$

Possible Answers:

$\small 10$ $\displaystyle \small 10$

$\small 25\sqrt2$ $\displaystyle \small 25\sqrt2$

$\small 5\sqrt2$ $\displaystyle \small 5\sqrt2$

$\small 5$ $\displaystyle \small 5$

Correct answer:

$\small 5\sqrt2$ $\displaystyle \small 5\sqrt2$

Explanation:

$\small \sqrt{50}$ $\displaystyle \small \sqrt{50}$

Start by finding factors for the radical term.

$\small 25*2=50$ $\displaystyle \small 25*2=50$

We can rewrite the radical using these factors.

$\small \sqrt{25}*\sqrt{2}=\sqrt{50}$ $\displaystyle \small \sqrt{25}*\sqrt{2}=\sqrt{50}$

Simplify the first term.

$5*\sqrt{2}=5\sqrt{2}$ $\displaystyle 5*\sqrt{2}=5\sqrt{2}$

Report an Error

Example Question #91 : Integer Operations

$\sqrt[3]{27} + \sqrt{64} =$ $\displaystyle \sqrt[3]{27} + \sqrt{64} =$

Possible Answers:

$\displaystyle 11$

$\displaystyle 9$

$\displaystyle 17$

$\displaystyle 25$

$\displaystyle 35$

Correct answer:

$\displaystyle 11$

Explanation:

The third root of $\displaystyle 27$ is $\displaystyle 3$

$\left ( 3\times 3\times 3 =27\right )$ $\displaystyle \left ( 3\times 3\times 3 =27\right )$

and when added to the square root of 64, which is 8, you should get 11.

Report an Error

Example Question #22 : How To Multiply Integers

Solve: $32\times17$ $\displaystyle 32\times17$

Possible Answers:

534 $\displaystyle 534$

266 $\displaystyle 266$

544 $\displaystyle 544$

256 $\displaystyle 256$

436 $\displaystyle 436$

Correct answer:

544 $\displaystyle 544$

Explanation:

Multiply $32\times 7$ $\displaystyle 32\times 7$.

$32\times 7= 224$ $\displaystyle 32\times 7= 224$

Multiply $32\times 1$ $\displaystyle 32\times 1$, but add a zero as a placeholder.

$32\times 1=32$ $\displaystyle 32\times 1=32$

This number would then be 320 $\displaystyle 320$.

Add 224+320 $\displaystyle 224+320$.

The correct answer is: 544 $\displaystyle 544$

Report an Error

Example Question #23 : How To Multiply Integers

Complete the following operation:

$46\cdot8$ $\displaystyle 46\cdot8$

Possible Answers:

320 $\displaystyle 320$

646 $\displaystyle 646$

368 $\displaystyle 368$

$\displaystyle 54$

Correct answer:

368 $\displaystyle 368$

Explanation:

Complete the following operation:

$46\cdot8$ $\displaystyle 46\cdot8$

To complete this operation, we can break it into two parts:

$40\cdot8=320$ $\displaystyle 40\cdot8=320$

$6\cdot8=48$ $\displaystyle 6\cdot8=48$

Then, we simply need to add the two parts together to get our answer:

$\displaystyle 320+48=368$

So:

$46\cdot8=368$ $\displaystyle 46\cdot8=368$

Report an Error

Example Question #24 : How To Multiply Integers

If a minor league baseball team played $\displaystyle 36$ games in a season and averaged 1532 $\displaystyle 1532$ fans and another team played 5 less games but averaged 200 $\displaystyle 200$ more fans, how many more fans over the course of the season did the team with most fans have?

Possible Answers:

The first team had 1332 $\displaystyle 1332$ more fans

The second team had 1732 $\displaystyle 1732$ more fans

The first team had 1532 $\displaystyle 1532$ more fans

The first team had 1460 $\displaystyle 1460$ more fans

The second team had 7200 $\displaystyle 7200$ more fans

Correct answer:

The first team had 1460 $\displaystyle 1460$ more fans

Explanation:

The first step is to find out how many fans each team had over the course of the year.

Team 1: $36 \cdot 1532 = 55,152$ $\displaystyle 36 \cdot 1532 = 55,152$

Team 2: $31 \cdot 1732 = 53,692$ $\displaystyle 31 \cdot 1732 = 53,692$

$\displaystyle 55,152 - 53,692 = 1460$

Team 1 had 1460 $\displaystyle 1460$ more fans

Report an Error

Example Question #91 : Integer Operations

6*2 $\displaystyle 6*2$

Possible Answers:

$\displaystyle 12$

$\displaystyle 18$

$\displaystyle 26$

$\displaystyle 24$

$\displaystyle 8$

Correct answer:

$\displaystyle 12$

Explanation:

Both integers are positive. We just multiply the two numbers. Answer is $\displaystyle 12$.

Report an Error

Example Question #92 : Integer Operations

12*9 $\displaystyle 12*9$

Possible Answers:

$\displaystyle 58$

$\displaystyle 36$

$\displaystyle 98$

108 $\displaystyle 108$

$\displaystyle 21$

Correct answer:

108 $\displaystyle 108$

Explanation:

Both integers are positive. We just multiply the two numbers. Answer is $\displaystyle 12$.

Report an Error

View Algebra Tutors

Andrea
Certified Tutor

Broward College, Bachelor of Science, Special Education. University of Miami, Masters in Education, Early Childhood Special E...

View Algebra Tutors

Kenneth
Certified Tutor

Duke University, Bachelor of Science, Geology.

View Algebra Tutors

Yesol
Certified Tutor

Ohio State University - Columbus, Bachelor's (in progress), chemical engineering.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Phoenix, LSAT Tutors in Miami, Spanish Tutors in Washington DC, Biology Tutors in New York City, ACT Tutors in Atlanta, Spanish Tutors in New York City, Physics Tutors in Chicago, Spanish Tutors in Phoenix, ISEE Tutors in Miami, French Tutors in San Diego

Popular Courses & Classes

Spanish Courses & Classes in Boston, SSAT Courses & Classes in Miami, GRE Courses & Classes in New York City, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Philadelphia, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Boston, GRE Courses & Classes in Denver, MCAT Courses & Classes in Miami, ACT Courses & Classes in Seattle

Popular Test Prep

GRE Test Prep in Houston, GRE Test Prep in New York City, ACT Test Prep in Seattle, SAT Test Prep in Phoenix, GRE Test Prep in Miami, MCAT Test Prep in Philadelphia, GRE Test Prep in San Diego, GRE Test Prep in Denver, ISEE Test Prep in San Francisco-Bay Area, SSAT 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

Algebra 1 : How to multiply integers

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #84 : Integer Operations

Example Question #1 : Simplifying Radicals

Example Question #2 : Factoring Radicals

Example Question #8 : Factoring Radicals

Example Question #91 : Integer Operations

Example Question #22 : How To Multiply Integers

Example Question #23 : How To Multiply Integers

Example Question #24 : How To Multiply Integers

Example Question #91 : Integer Operations

Example Question #92 : Integer Operations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: