We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Upper Level Math : How to find the solution to an equation

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

Create An Account

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #841 : Isee Upper Level (Grades 9 12) Mathematics Achievement

What is the value of the expression $\sqrt{169-144}$ ?

Possible Answers:

Correct answer:

Explanation:

The first step here is to recognize you need to simplify within the radical before moving outside of the radical (avoid a common mistake of getting the square root of 169 and 144 before subtracting). Thus, you subtract 144 from 169, which gives you a difference of 25:

$\sqrt{169-144}$ = $\sqrt{25}$ =

Then you can take the square root of 25, which gives you the answer of 5.

Report an Error

Example Question #842 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Solve for :

$\sqrt{x}+7=9$

Possible Answers:

x=2

$x=\sqrt2$

x=-2

x=4

Correct answer:

x=4

Explanation:

$\sqrt{x}+7=9$

$\sqrt{x}+7-7=9-7$

$\sqrt{x}=2$

$(\sqrt{x})^2=2^2$

x=4

Report an Error

Example Question #141 : How To Find The Solution To An Equation

A sweater was originally $25, but then marked down to $22. What is the percent decrease?

Possible Answers:

12%

14%

25%

19%

Correct answer:

12%

Explanation:

To find the percent decrease, remember this formula: difference/original. First, find the difference between the prices. This is $3. Then divide that by the original price, which is $25. $\frac{3}{25}=.12$ . Since the question is asking for a percentage, move the decimal over to the right two places and you get 12%.

Report an Error

Example Question #142 : How To Find The Solution To An Equation

Solve for x.

$\frac{x}{3}+0.4=1.2$

Possible Answers:

x=.24

x=8

x=24

x=2.4

x=1.3

Correct answer:

x=2.4

Explanation:

To solve for x, first subtract 0.4 from both sides. This gives you $\frac{x}{3}=0.8$ . Then, multiply both sides by 3. This yields 2.4 for x.

Report an Error

Example Question #845 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Simplify:

$\frac{\sqrt{24}}{144}$

Possible Answers:

$\frac{\sqrt{2}}{36}$

$\frac{1}{}6$

$\frac{\sqrt{6}}{72}$

$\sqrt{6}$

Correct answer:

$\frac{\sqrt{6}}{72}$

Explanation:

First, simplify the radical on the numerator. $\sqrt{24}$ can be simplified to $\sqrt{4} \cdot \sqrt{6}$ , which is also $2\sqrt{6}$ . Then, put that over the denominator: $\frac{2\sqrt{6}}{144}$ . Then, simplify like terms. 2 goes into both the numerator and denominator, so that final answer is $\frac{\sqrt{6}}{72}$ .

Report an Error

Example Question #846 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Solve for x in the equation below:

$\sqrt{x}=\frac{4+5\cdot2-18\div2}{5}$

Possible Answers:

Correct answer:

Explanation:

The first step is to simplify the numerator in the right side of the equation.

$\sqrt{x}=\frac{4+5\cdot2-18\div2}{5}$

$\sqrt{x}=\frac{4+10-9}{5}$

$\sqrt{x}=\frac{5}{5}$

$\sqrt{x}=1$

Next, we square each side of the equation.

x=1

Report an Error

Example Question #847 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Which of the answer choices below has a value that is different from the others?

Possible Answers:

$4\div \frac{1}{4}$

$\sqrt{16}$

$\frac{8}{2}$

$2^{2}$

Correct answer:

$4\div \frac{1}{4}$

Explanation:

$4\div \frac{1}{4}=16$

$\sqrt{16}=4$

$\frac{8}{2}=4$

$2^{2}=4$

Therefore, $4\div \frac{1}{4}$ has a value that is different from the other expressions.

Report an Error

Example Question #848 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Solve for in this equation:

$\frac{5x}{2}=\frac{8}{x}$

Possible Answers:

$\frac{5}{4}$

$\frac{\sqrt{5}}{4}$

$\frac{4\sqrt{5}}{5}$

$\frac{4}{5}$

Correct answer:

$\frac{4\sqrt{5}}{5}$

Explanation:

In order to solve for $\frac{5x}{2}=\frac{8}{x}$ , cross multiplication must be used. Applying this, the equestion to be solved will be:

$5x^{2}=16$

Next, each side must be divided by 5. This results in:

$x^{2}=\frac{16}{5}$

The square root of each side is now taken. This gives us:

$x=\sqrt{}\frac{16}{5}$

This reduces to:

$\frac{4}{\sqrt{5}}$

Finally, we rationalize the denominator:

$\frac{4}{\sqrt{5}}\cdot\frac{\sqrt{5}}{\sqrt{5}}=\frac{4\sqrt{5}}{5}$

Report an Error

Example Question #2 : How To Multiply And Divide Fractions

On average, 1 in 9 peanuts that are harvested will only have one pod instead of two pods. Of those one-pod peanuts, three quarters of them will be smaller than the average peanut.

If 900 peanuts are harvested, how many will be one-pod peanuts that are smaller than average in size?

Possible Answers:

100

Correct answer:

Explanation:

If there are 900 peanuts and 1 in 9 will be one-podded, that means that 100 will be one-podded.

$900\cdot \frac{1}{9}=100$

Three quarters of these 100 one-podded peanuts will be of smaller than average size. Three quarters of of 100 is 75. Therefore, 75 is the correct answer.

Report an Error

Example Question #3 : How To Multiply And Divide Fractions

A small bakery sells two flavors of muffins: chocolate and banana.

At the end of the day, there are 13 muffins left.

There are chocolate muffins and banana muffins.

$x=\frac{7}{2}\cdot \frac{4}{7}-1$

how many banana muffins are left?

Possible Answers:

Correct answer:

Explanation:

The first step is to solve for x.

$x=\frac{7}{2}\cdot \frac{4}{7}-1$

x=2-1

x=1

If there are 1x chocolate muffins and 2y banana muffins, for a total of 13 muffins then:

1x+2y=13

1+2y=13

2y=12

Since the number of banana muffins remaining is 2y, there are 12 banana muffins left.

Report an Error

View Tutors

Reza
Certified Tutor

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

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Tutors

Ana
Certified Tutor

Grand Canyon University, Bachelors, Education. Grand Canyon University, Masters, Education.

All ISEE Upper Level Math Resources

6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Houston, Math Tutors in Seattle, Math Tutors in Chicago, LSAT Tutors in Dallas Fort Worth, SSAT Tutors in Chicago, Reading Tutors in Denver, Physics Tutors in Phoenix, GMAT Tutors in San Diego, MCAT Tutors in Chicago, MCAT Tutors in Washington DC

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, MCAT Courses & Classes in Boston, Spanish Courses & Classes in Phoenix, SSAT Courses & Classes in Chicago, GRE Courses & Classes in Chicago, LSAT Courses & Classes in Atlanta, GRE Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Philadelphia, LSAT Courses & Classes in New York City, ISEE Courses & Classes in New York City

Popular Test Prep

ACT Test Prep in Houston, ACT Test Prep in Miami, GRE Test Prep in Denver, SAT Test Prep in San Diego, MCAT Test Prep in Atlanta, LSAT Test Prep in Philadelphia, GRE Test Prep in Los Angeles, ISEE Test Prep in Los Angeles, GRE Test Prep in Phoenix, MCAT Test Prep in Denver

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 Upper Level Math : How to find the solution to an equation

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

All ISEE Upper Level Math Resources

Example Questions

Example Question #841 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #842 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #141 : How To Find The Solution To An Equation

Example Question #142 : How To Find The Solution To An Equation

Example Question #845 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #846 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #847 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #848 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Example Question #2 : How To Multiply And Divide Fractions

Example Question #3 : How To Multiply And Divide Fractions

All ISEE Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: