Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Algebra 1

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 #49 : How To Multiply Integers

Multiply the following numbers: $59\times 9$ $\displaystyle 59\times 9$

Possible Answers:

158 $\displaystyle 158$

531 $\displaystyle 531$

551 $\displaystyle 551$

451 $\displaystyle 451$

468 $\displaystyle 468$

Correct answer:

531 $\displaystyle 531$

Explanation:

Multiply the ones digits.

$9\times 9 =81$ $\displaystyle 9\times 9 =81$

The tens digit is eight, which is the carryover.

Multiply the tens digit of the first number with the ones digit of the second number.

$5\times 9 +8 = 45+8 =53$ $\displaystyle 5\times 9 +8 = 45+8 =53$

Combine the numbers with the ones digit of the first calculation.

The answer is: 531 $\displaystyle 531$

Report an Error

Example Question #51 : How To Multiply Integers

Multiply fifteen with eight.

Possible Answers:

120 $\displaystyle 120$

$\displaystyle 90$

160 $\displaystyle 160$

$\displaystyle 80$

140 $\displaystyle 140$

Correct answer:

120 $\displaystyle 120$

Explanation:

Write the expression to express the question.

$15 \times 8$ $\displaystyle 15 \times 8$

Multiply the ones digits.

$5\times 8=40$ $\displaystyle 5\times 8=40$

Since this number has a tens digit, it will be used as a carryover.

Multiply the tens digits and add the carryover.

$1\times 8 +4 = 12$ $\displaystyle 1\times 8 +4 = 12$

Combine the numbers.

The answer is: 120 $\displaystyle 120$

Report an Error

Example Question #121 : Integer Operations

Multiply the following integers: $\displaystyle [9,3,11]$

Possible Answers:

297 $\displaystyle 297$

278 $\displaystyle 278$

397 $\displaystyle 397$

307 $\displaystyle 307$

287 $\displaystyle 287$

Correct answer:

297 $\displaystyle 297$

Explanation:

The order of multiplication does not matter. We can choose to multiply eleven by three or nine to save work.

Multiply eleven with three.

$11\times 3 = 33$ $\displaystyle 11\times 3 = 33$

Multiply thirty-three with nine.

$33 \times 9$ $\displaystyle 33 \times 9$

Multiply the ones digits.

$3\times 9= 27$ $\displaystyle 3\times 9= 27$

The carryover is the tens place. Multiply the ones digit with the tens digit and add the carryover.

$3\times 9 +2 = 29$ $\displaystyle 3\times 9 +2 = 29$

Combine the numbers. The answer is 297 $\displaystyle 297$.

Report an Error

Example Question #122 : Integer Operations

Multiply the numbers: $29 \times 8$ $\displaystyle 29 \times 8$

Possible Answers:

722 $\displaystyle 722$

242 $\displaystyle 242$

232 $\displaystyle 232$

1672 $\displaystyle 1672$

Correct answer:

232 $\displaystyle 232$

Explanation:

Multiply the ones digits.

$9 \times 8=72$ $\displaystyle 9 \times 8=72$

The tens place will be the carryover for the next calculation.

Multiply the tens digit of 29 with the eight and add the carryover.

$2\times 8 +7 = 16+7 = 23$ $\displaystyle 2\times 8 +7 = 16+7 = 23$

Combine this number with the ones digit of the first calculation.

The answer is: 232 $\displaystyle 232$

Report an Error

Example Question #123 : Integer Operations

Multiply: $587 \times 8$ $\displaystyle 587 \times 8$

Possible Answers:

4766 $\displaystyle 4766$

4596 $\displaystyle 4596$

4066 $\displaystyle 4066$

4696 $\displaystyle 4696$

4686 $\displaystyle 4686$

Correct answer:

4696 $\displaystyle 4696$

Explanation:

Multiply the ones digit of 587 with the eight.

$7 \times 8 = 56$ $\displaystyle 7 \times 8 = 56$

The tens place is the carryover.

Multiply the tens digit of 587 with the eight and add the carryover.

$8\times 8+5 = 69$ $\displaystyle 8\times 8+5 = 69$

The tens place is the carryover.

Multiply the hundreds digit of 587 with the eight and add the carryover.

$5\times 8+6 = 46$ $\displaystyle 5\times 8+6 = 46$

Combine this number with the ones digits in the other calculations.

The answer is: 4696 $\displaystyle 4696$

Report an Error

Example Question #124 : Integer Operations

Multiply: $26\times 8$ $\displaystyle 26\times 8$

Possible Answers:

228 $\displaystyle 228$

248 $\displaystyle 248$

208 $\displaystyle 208$

168 $\displaystyle 168$

148 $\displaystyle 148$

Correct answer:

208 $\displaystyle 208$

Explanation:

Multiply the ones digit of 26 with eight.

$6\times8=48$ $\displaystyle 6\times8=48$

The tens place is the carryover.

Multiply the tens digit of 26 with eight and add the carryover.

$2\times 8 +4 = 16+4 =20$ $\displaystyle 2\times 8 +4 = 16+4 =20$

Combine this number with the ones digit of the first calculation.

The answer is: 208 $\displaystyle 208$

Report an Error

Example Question #125 : Integer Operations

Solve: $91\times 31$ $\displaystyle 91\times 31$

Possible Answers:

2721 $\displaystyle 2721$

2781 $\displaystyle 2781$

2711 $\displaystyle 2711$

2821 $\displaystyle 2821$

2701 $\displaystyle 2701$

Correct answer:

2821 $\displaystyle 2821$

Explanation:

Multiply 91 with the ones digit.

$91\times 1 =91$ $\displaystyle 91\times 1 =91$

Skip a line and multiply 91 with the tens digit.

$91 \times 3 = 273$ $\displaystyle 91 \times 3 = 273$

Add a zero at the end of this number.

2730 $\displaystyle 2730$

Sum this number with the first number we have calculated.

$\displaystyle 2730+91 =2821$

The answer is: 2821 $\displaystyle 2821$

Report an Error

Example Question #126 : Integer Operations

Multiply the integers: $15\times 48$ $\displaystyle 15\times 48$

Possible Answers:

460 $\displaystyle 460$

780 $\displaystyle 780$

720 $\displaystyle 720$

660 $\displaystyle 660$

280 $\displaystyle 280$

Correct answer:

720 $\displaystyle 720$

Explanation:

Multiply the first number with the ones digit of the second number.

$15\times 8 = 120$ $\displaystyle 15\times 8 = 120$

Skip a line, and multiply the first number with the tens digit of the second number.

$15\times 4= 60$ $\displaystyle 15\times 4= 60$

We will need to add a zero to the right of this number.

600 $\displaystyle 600$

Add this number with the first number.

$\displaystyle 600+120 = 720$

The answer is: 720 $\displaystyle 720$

Report an Error

Example Question #2581 : Algebra 1

Solve the expression 13+(-3) $\displaystyle 13+(-3)$.

Possible Answers:

$\displaystyle 13$

$\displaystyle 16$

$\displaystyle 39$

$\displaystyle 10$

$\displaystyle -39$

Correct answer:

$\displaystyle 10$

Explanation:

Adding a negative is the same as subtraction.

$\displaystyle 13+(-3)=13-3=10$

Report an Error

Example Question #2 : How To Add Integers

What is the sum of all of the even integers from 2 to 2,000, inclusive?

Possible Answers:

$\displaystyle 1,010,000$

$\displaystyle 1,000,000$

999,000 $\displaystyle 999,000$

$\displaystyle 1,001,000$

990,000 $\displaystyle 990,000$

Correct answer:

$\displaystyle 1,001,000$

Explanation:

Pair the numbers as follows:

$\displaystyle 2+2000=2,002$

$\displaystyle 4+1998=2,002$

$\displaystyle 6+1996=2,002$

...

$\displaystyle 1,000+1,002=2,002$

There are 500 such pairs, so adding all of the even integers from 2 to 2,000 is the same as taking 2,002 as an addend 500 times. This can be rewritten as a multiplication.

$\displaystyle 2,002* 500 = 1,001,000$

Report an Error

View Algebra Tutors

Luis
Certified Tutor

State University of New York at New Paltz, Doctor of Science, Health Physics.

View Algebra Tutors

Jerry
Certified Tutor

University of Illinois at Chicago, Bachelor of Science, Engineering Physics. University of Illinois at Chicago, Master of Sci...

View Algebra Tutors

Melodi
Certified Tutor

Case Western Reserve University, Bachelor of Science, Computer Science.

All Algebra 1 Resources

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

Popular Subjects

Chemistry Tutors in Washington DC, Spanish Tutors in Houston, SAT Tutors in San Diego, Calculus Tutors in Phoenix, Spanish Tutors in Philadelphia, SSAT Tutors in Washington DC, English Tutors in Dallas Fort Worth, Physics Tutors in Philadelphia, ACT Tutors in Washington DC, LSAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

LSAT Courses & Classes in New York City, SSAT Courses & Classes in Seattle, LSAT Courses & Classes in Chicago, SSAT Courses & Classes in Washington DC, SSAT Courses & Classes in New York City, ACT Courses & Classes in Washington DC, Spanish Courses & Classes in New York City, MCAT Courses & Classes in Boston, SAT Courses & Classes in Boston, ACT Courses & Classes in San Diego

Popular Test Prep

MCAT Test Prep in San Diego, SAT Test Prep in Seattle, ISEE Test Prep in Los Angeles, GRE Test Prep in New York City, ACT Test Prep in Dallas Fort Worth, ACT Test Prep in Washington DC, GMAT Test Prep in San Diego, GMAT Test Prep in Los Angeles, GRE Test Prep in Seattle, ACT Test Prep in Phoenix

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 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #49 : How To Multiply Integers

Example Question #51 : How To Multiply Integers

Example Question #121 : Integer Operations

Example Question #122 : Integer Operations

Example Question #123 : Integer Operations

Example Question #124 : Integer Operations

Example Question #125 : Integer Operations

Example Question #126 : Integer Operations

Example Question #2581 : Algebra 1

Example Question #2 : How To Add Integers

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: