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 #211 : Fractions

Multiply: $\frac{2}{7}\times \frac{14}{30}$

Possible Answers:

$\frac{79}{105}$

$\frac{4}{105}$

$\frac{2}{15}$

$\frac{11}{15}$

$\frac{7}{15}$

Correct answer:

$\frac{2}{15}$

Explanation:

Instead of multiplying the numerator with numerator and denominator with denominator, find the common factors of the terms in the fractions.

Write out the common factors in the fractions.

$\frac{2}{7}\times \frac{14}{30} = \frac{2}{7}\times \frac{7\times 2}{2\times 15}$

Cancel out the common terms in the numerator and denominator.

The answer is $\frac{2}{15}$ .

Report an Error

Example Question #1886 : Mathematical Relationships And Basic Graphs

A recipe for a cake calls for two-thirds a cup of flower per cake. If you have 12 cups of flour, how many cakes can you make?

Possible Answers:

Can not be determined

Correct answer:

Explanation:

The key here is to recognize that you are dividing twelve by two-thirds because that will give you the total number of cakes that twelve cups of flour.

So:

$\frac{\frac{12}{1}}{\frac{2}{3}}$

When you divide fractions, it is equivalent to multiplying by the reciprocal of one of the divisor.

Which looks like this:

$\frac{12}{1}*\frac{3}{2}=18$

Report an Error

Example Question #42 : Multiplying And Dividing Fractions

Simplify the following fraction operation:

$\frac{6}{7}*\frac{14}{3}\div\frac{4}{7}$

Possible Answers:

$\frac{14}{3}$

$\frac{3}{7}$

Correct answer:

Explanation:

Simplify the following fraction operation:

$\frac{6}{7}*\frac{14}{3}\div\frac{4}{7}$

We can take this problem one step at a time.

Let's start with the first two fractions. When multiplying fractions, we simply need to multiply stright across. However, we can make this easier by first simplifying diagonally.

$\frac{6}{7}*\frac{14}{3}=\frac{2}{1}*\frac{2}{1}=\frac{4}{1}$

Note that we can simplify the 14 and the 7 because 14 is divisible by 7. Same with the 6 and the 3.

Next, let's do the division step. To divide fractions, we multiply by the reciprocal.

$\frac{4}{1}\div\frac{4}{7}=\frac{4}{1}*\frac{7}{4}=\frac{7}{1}=7$

So our answer is 7.

Report an Error

Example Question #1891 : Mathematical Relationships And Basic Graphs

$\frac{9}{11}\cdot \frac{121}{108}$

Possible Answers:

$\frac{12}{11}$

$\frac{1}{11}$

$\frac{5}{12}$

$\frac{1}{12}$

$\frac{11}{12}$

Correct answer:

$\frac{11}{12}$

Explanation:

Remember to simplify before multiplying straight across--it makes finding your final answer much easier. 9 goes into both 9 and 108, while 11 goes into both 11 and 121. Multiply straight across to get your answer: $\frac{11}{12}$

Report an Error

Example Question #1892 : Mathematical Relationships And Basic Graphs

$\frac{4x}{y}\div \frac{22}{y^2}$

Possible Answers:

2xy

$\frac{2xy}{11}$

$\frac{2y}{11}$

$\frac{xy}{11}$

Correct answer:

$\frac{2xy}{11}$

Explanation:

Recall that when dividing fractions, you have to flip the second fraction (use its reciprocal) and then multiply the two: $\frac{4x}{y}\times \frac{y^2}{22}$ . See if you can simplify diagonally before you multiply straight across to get your answer of $\frac{2xy}{11}$ .

Report an Error

Example Question #45 : Multiplying And Dividing Fractions

Simplify the following:

$\frac{5}{6}\left(\frac{12}{5}\div \frac{6}{7}\right)$

Possible Answers:

$\frac{7}{3}$

$\frac{144}{17}$

$\frac{13}{14}$

$\frac{3}{5}$

Correct answer:

$\frac{7}{3}$

Explanation:

Simplify the following:

$\frac{5}{6}\left(\frac{12}{5}\div \frac{6}{7}\right)$

Let's begin by recalling that when dividing fractions, we need to multiply by the reciprocal, then just simplify:

$\frac{5}{6}\left(\frac{12}{5}\ast \frac{7}{6}\right)=\frac{5}{6}\left(\frac{14}{5}\right)=\frac{14}{6}=\frac{7}{3}$

So our answer is:

$\frac{7}{3}$

Report an Error

Example Question #4555 : Algebra Ii

Simplify the following fraction expression:

$(\frac{4}{7}*\frac{12}{13})\div \frac{100}{91}$

Possible Answers:

$4\frac{4}{7}$

$\frac{13}{33}$

$2\frac{1}{12}$

$\frac{12}{25}$

Correct answer:

$\frac{12}{25}$

Explanation:

Simplify the following fraction expression:

$(\frac{4}{7}*\frac{12}{13})\div \frac{100}{91}$

Let's begin by simplifying the multiplication inside the parentheses.

$(\frac{48}{91})\div \frac{100}{91}$

Next, take the reciprocal of the second fraction and multiply (because when dividing fractions we really want to multiply by the reciprocal)

$(\frac{48}{91})\div \frac{100}{91}=\frac{48}{91}*\frac{91}{100}$

Which will become:

$\frac{48}{91}*\frac{91}{100}=\frac{48}{100}=\frac{12}{25}$

So our answer is:

$\frac{12}{25}$

Report an Error

Example Question #4556 : Algebra Ii

Simplify the following:

$\frac{\frac{3}{4}}{\frac{4}{3}}$

Possible Answers:

$\frac{4}{9}$

$\frac{9}{16}$

$\frac{16}{9}$

Correct answer:

$\frac{9}{16}$

Explanation:

This is a dividing fractions problem. The trick here is to know that you need to flip one of your fractions and then multiply straight across.

When you do this it will look like this:

$\frac{3}{4}*\frac{3}{4}$ $=\frac{9}{16}$

Report an Error

Example Question #1893 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

$\frac{2}{5}\cdot\frac{2}{3}$

Possible Answers:

$\frac{4}{15}$

$\frac{6}{15}$

$\frac{8}{15}$

$\frac{1}{5}$

Correct answer:

$\frac{4}{15}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{2}{5}\cdot \frac{2}{3}=\frac{4}{15}$

Report an Error

Example Question #1894 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

$\frac{3}{7}\cdot \frac{14}{23}$

Possible Answers:

$\frac{10}{23}$

$\frac{6}{23}$

$\frac{9}{23}$

$\frac{7}{23}$

Correct answer:

$\frac{6}{23}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{3}{7}\cdot \frac{14}{23}=\frac{42}{161}\div \frac{7}{7}=\frac{6}{23}$

Report an Error

View Algebra 2 Tutors

Abe
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Accounting and Business Management. CUNY Graduate School and University Center, M...

View Algebra 2 Tutors

Benjamin
Certified Tutor

Portland State University, Bachelor of Science, Computer Science.

View Algebra 2 Tutors

Richie
Certified Tutor

Full Sail University, Bachelor of Science, Computer Science.

All Algebra II Resources

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

Popular Subjects

ISEE Tutors in New York City, Computer Science Tutors in Denver, SAT Tutors in San Diego, Math Tutors in Philadelphia, SSAT Tutors in Dallas Fort Worth, Math Tutors in Washington DC, Math Tutors in Dallas Fort Worth, Biology Tutors in Dallas Fort Worth, Algebra Tutors in Houston, Algebra Tutors in Boston

Popular Courses & Classes

MCAT Courses & Classes in Washington DC, ACT Courses & Classes in Washington DC, Spanish Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, ACT Courses & Classes in Chicago, GRE Courses & Classes in New York City, ACT Courses & Classes in Philadelphia, SSAT Courses & Classes in Philadelphia, SAT Courses & Classes in Atlanta, MCAT Courses & Classes in Seattle

Popular Test Prep

SAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Denver, SAT Test Prep in Washington DC, GMAT Test Prep in Los Angeles, MCAT Test Prep in New York City, LSAT Test Prep in Philadelphia, ACT Test Prep in Seattle, MCAT Test Prep in Miami, MCAT Test Prep in Boston, ISEE 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 #211 : Fractions

Example Question #1886 : Mathematical Relationships And Basic Graphs

Example Question #42 : Multiplying And Dividing Fractions

Example Question #1891 : Mathematical Relationships And Basic Graphs

Example Question #1892 : Mathematical Relationships And Basic Graphs

Example Question #45 : Multiplying And Dividing Fractions

Example Question #4555 : Algebra Ii

Example Question #4556 : Algebra Ii

Example Question #1893 : Mathematical Relationships And Basic Graphs

Example Question #1894 : Mathematical Relationships And Basic Graphs

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: