We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1912 : Mathematical Relationships And Basic Graphs

Multiply these fractions:

$\frac{8}{9}*\frac{3}{4}$

Possible Answers:

$\frac{1}{3}$

$\frac{2}{3}$

$1\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{8}{9}*\frac{3}{4}=\frac{8*3}{9*4}=\frac{24}{36}$

Simplify the fraction to get the final answer:

$\frac{24}{36}\div \frac{6}{6}=\frac{4}{6}\div \frac{2}{2}=\frac{2}{3}$

Report an Error

Example Question #71 : Multiplying And Dividing Fractions

Multiply the fractions: $\frac{3}{11}\times \frac{33}{2}\times \frac{1}{9}$

Possible Answers:

$\frac{1089}{2}$

$\frac{2}{11}$

$\frac{1}{9}$

$\frac{9}{11}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Rewrite the second and third fraction with common factors.

$\frac{3}{11}\times \frac{33}{2}\times \frac{1}{9}=\frac{3}{11}\times \frac{11\times 3}{2}\times \frac{1}{3\times 3}$

Cancel all the common terms on the numerator and denominator.

The term remaining is: $\frac{1}{2}$

The answer is: $\frac{1}{2}$

Report an Error

Example Question #4581 : Algebra Ii

Divide the fractions: $\frac{12}{7}\div \frac{14}{12}$

Possible Answers:

$\frac{49}{72}$

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{72}{49}$

Correct answer:

$\frac{72}{49}$

Explanation:

In order to divide the fractions, first reduce the second term.

$\frac{14}{12} = \frac{7\times2}{6\times2} = \frac{7}{6}$

Rewrite the expression.

$\frac{12}{7}\div \frac{14}{12}=\frac{12}{7}\div \frac{7}{6}$

Take the reciprocal of the second term and change the division sign to a multiplication sign.

$\frac{12}{7}\div \frac{7}{6} = \frac{12}{7}\times \frac{6}{7}$

Multiply the numerator with the numerator and denominator with the denominator.

The answer is: $\frac{72}{49}$

Report an Error

Example Question #4582 : Algebra Ii

Multiply the fractions: $-\frac{4}{21}\times-\frac{7}{2}\times \frac{3}{13}$

Possible Answers:

$\frac{2}{13}$

$\frac{1}{13}$

$\textup{The answer is not given.}$

$-\frac{1}{13}$

$-\frac{2}{13}$

Correct answer:

$\frac{2}{13}$

Explanation:

It is not necessary to multiply out all the terms on the numerator and denominator.

Rewrite the numerator and denominator of non-prime numbers using common factors.

$-\frac{4}{21}\times-\frac{7}{2}\times \frac{3}{13}=-\frac{2(2)}{7(3)}\times-\frac{7}{2}\times \frac{3}{13}$

Notice that the common terms in the numerator and denominator can be simplified.

Cancel out the two, three, and seven. The thirteen in the denominator will remain.

Double negatives will yield a positive.

The answer is: $\frac{2}{13}$

Report an Error

Example Question #4583 : Algebra Ii

Divide the fraction $\frac{1}{8}$ with $\frac{11}{2}$ .

Possible Answers:

$\frac{11}{16}$

$\frac{10}{11}$

$\frac{16}{11}$

$\frac{1}{44}$

Correct answer:

$\frac{1}{44}$

Explanation:

Set up an expression to divide the fractions. This will be a complex function.

$\frac{\frac{1}{8}}{\frac{11}{2}}$

Rewrite the fractions using a division sign. Change the division sign to a multiplication sign and take the reciprocal of the second term.

$\frac{1}{8} \div \frac{11}{2}=\frac{1}{8} \times \frac{2}{11} = \frac{2}{88} = \frac{1}{44}$

The answer is: $\frac{1}{44}$

Report an Error

Example Question #4584 : Algebra Ii

Divide the fractions: $\frac{3}{8}\div \frac{16}{9}$

Possible Answers:

$\frac{27}{128}$

$\frac{13}{72}$

$\textup{The answer is not given.}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{27}{128}$

Explanation:

In order to divide these fractions, we will need to rewrite the expression using a multiplication sign, and take the reciprocal of the second term.

$\frac{3}{8}\div \frac{16}{9} = \frac{3}{8}\times\frac{9}{16} = \frac{27}{128}$

The answer is: $\frac{27}{128}$

Report an Error

Example Question #4585 : Algebra Ii

$\frac{4}{xy}\cdot \frac{x^2y}{16}$

Possible Answers:

$\frac{4}{x}$

$\frac{4x}{11}$

$\frac{x}{8}$

$\frac{x}{4}$

$\frac{x^2}{4}$

Correct answer:

$\frac{x}{4}$

Explanation:

Before multiplying, look diagonally to see if you can reduce anything. It makes simplifying at the end a lot easier. You can simplify here so that it becomes:

$\frac{1}{1}\cdot \frac{x}{4}$

Simplify straight across to get your final answer:

$\frac{x}{4}$

Report an Error

Example Question #4586 : Algebra Ii

Divide the fractions: $\frac{6}{11}\div\frac{33}{18}$

Possible Answers:

$\frac{36}{121}$

$\frac{1}{3}$

$\frac{3}{11}$

$\frac{18}{121}$

Correct answer:

$\frac{36}{121}$

Explanation:

To divide the fractions, take the reciprocal of the second term and change the division sign to a multiplication sign.

$\frac{6}{11}\div\frac{33}{18}=\frac{6}{11}\times \frac{18}{33}$

Reduce numerator and denominator. Write out the common factors and cancel the common terms.

$\frac{2 \times 3}{11}\times \frac{18}{3\times 11} = \frac{2\times 18}{11\times 11} = \frac{36}{121}$

The answer is: $\frac{36}{121}$

Report an Error

Example Question #4587 : Algebra Ii

Divide the fractions: $(\frac{3}{2}\div \frac{4}{3})\div \frac{1}{2}$

Possible Answers:

$\frac{9}{4}$

$\frac{4}{9}$

$\frac{16}{9}$

$\frac{9}{16}$

Correct answer:

$\frac{9}{4}$

Explanation:

Rewrite the terms in the parentheses with a multiplication sign and take the reciprocal of the second term.

$(\frac{3}{2}\div \frac{4}{3}) = \frac{3}{2}\times \frac{3}{4} = \frac{9}{8}$

Divide this fraction with the third term.

$\frac{9}{8} \div \frac{1}{2}$

Convert the sign to a multiplication sign and take the reciprocal of the second term.

$\frac{9}{8} \div \frac{1}{2}=\frac{9}{8} \times \frac{2}{1} = \frac{9}{4}$

The answer is: $\frac{9}{4}$

Report an Error

Example Question #71 : Multiplying And Dividing Fractions

Divide the fractions: $\frac{18}{7}\div \frac{7}{3}$

Possible Answers:

$\frac{7}{6}$

$\frac{1}{6}$

$\frac{54}{49}$

$\frac{49}{54}$

Correct answer:

$\frac{54}{49}$

Explanation:

To divide the fractions, we will need to take the reciprocal of the second term and change the division sign to a multiplication sign.

$\frac{18}{7}\div \frac{7}{3}=\frac{18}{7}\times \frac{3}{7}=\frac{54}{49}$

The answer is: $\frac{54}{49}$

Report an Error

View Algebra 2 Tutors

Vidur
Certified Tutor

Johns Hopkins University, Bachelor of Science, Applied Mathematics.

View Algebra 2 Tutors

John
Certified Tutor

Anderson University, Bachelor in Arts, Music Performance.

View Algebra 2 Tutors

Tom
Certified Tutor

University of Wisconsin-Madison, Bachelor of Science, Atmospheric Sciences and Meteorology. Embry-Riddle Aeronautical Univers...

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Houston, Physics Tutors in New York City, Reading Tutors in Denver, Chemistry Tutors in Houston, ISEE Tutors in Dallas Fort Worth, GRE Tutors in Dallas Fort Worth, Statistics Tutors in Dallas Fort Worth, GRE Tutors in San Diego, Reading Tutors in Seattle, Reading Tutors in Miami

Popular Courses & Classes

MCAT Courses & Classes in Phoenix, SAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Miami, MCAT Courses & Classes in Denver, GMAT Courses & Classes in Houston, SAT Courses & Classes in Miami, ISEE Courses & Classes in Boston, SSAT Courses & Classes in Chicago, LSAT Courses & Classes in Seattle

Popular Test Prep

GMAT Test Prep in Chicago, SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Houston, ISEE Test Prep in Washington DC, MCAT Test Prep in San Diego, MCAT Test Prep in Washington DC, SSAT Test Prep in Denver, LSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Atlanta, SSAT Test Prep in New York City

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 II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #1912 : Mathematical Relationships And Basic Graphs

Example Question #71 : Multiplying And Dividing Fractions

Example Question #4581 : Algebra Ii

Example Question #4582 : Algebra Ii

Example Question #4583 : Algebra Ii

Example Question #4584 : Algebra Ii

Example Question #4585 : Algebra Ii

Example Question #4586 : Algebra Ii

Example Question #4587 : Algebra Ii

Example Question #71 : Multiplying And Dividing Fractions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: