We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Algebraic Concepts

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #95 : How To Find The Solution To An Equation

Solve for :

5t - 17 = 78

Possible Answers:

t = 19

t = 21

t = 16

t = 17

Correct answer:

t = 19

Explanation:

5t - 17 = 78

5t - 17 + 17= 78+ 17

5t = 95

$5t \div 5 = 95 \div 5$

t = 19

Report an Error

Example Question #96 : Equations

Solve for :

x (x-6) = 40

Possible Answers:

$x = -4 \textrm{ or }x = 10$

$x = 8 \textrm{ or }x = -5$

$x = -8 \textrm{ or }x = 5$

$x = 4 \textrm{ or }x = -10$

Correct answer:

$x = -4 \textrm{ or }x = 10$

Explanation:

Rewrite in standard form:

x (x-6) = 40

$x \cdot x-x \cdot 6 = 40$

$x ^{2}-6x = 40$

$x ^{2}-6x- 40 = 40 - 40$

$x ^{2}-6x- 40 = 0$

Factor the quadratic expression as (x + ?)(x + ?) , replacing the question marks with two integers whose product is and whose sum is . The integers are -10, 4 , so we write the equation as

(x -10)(x + 4) = 0

Set each linear binomial to 0 and solve:

$x - 10 = 0\Rightarrow x = 10$

$x + 4 = 0\Rightarrow x = -4$

Report an Error

Example Question #901 : Concepts

Solve for :

-6x + 13 > 78

Possible Answers:

$x > 10 \frac{5}{6}$

$x < -10 \frac{5}{6}$

$x > -10 \frac{5}{6}$

$x < 10 \frac{5}{6}$

Correct answer:

$x < -10 \frac{5}{6}$

Explanation:

-6x + 13 > 78

-6x + 13 - 13 > 78- 13

-6x > 65

$-6x \div (-6) < 65 \div (-6)$

Note: switch the symbol when dividing by a negative number

$x < -10 \frac{5}{6}$

Report an Error

Example Question #902 : Concepts

Solve for :

$- \frac{6}{5}y > -\frac{9}{20}$

Possible Answers:

$y> \frac{3}{8}$

$y< - \frac{3}{8}$

$y< \frac{3}{8}$

$y> - \frac{3}{8}$

Correct answer:

$y< \frac{3}{8}$

Explanation:

$- \frac{6}{5}y > -\frac{9}{20}$

$- \frac{5}{6} \left ( - \frac{6}{5} y \right )< - \frac{5}{6} \left ( -\frac{9}{20} \right )$

Note: switch the symbol when dividing by a negative number

$y< \frac{5}{6} \cdot \frac{9}{20}$

$y< \frac{1}{2} \cdot \frac{3}{4}$

$y< \frac{3}{8}$

Report an Error

Example Question #903 : Concepts

Solve for :

6 (t - 0.13 ) = 9

Possible Answers:

t = 1.47

t = 1.63

t = 1.37

t = 1.52

Correct answer:

t = 1.63

Explanation:

Distribute, then solve:

6 (t - 0.13 ) = 9

$6 \cdot t - 6 \cdot 0.13 = 9$

6 t - 0.78 = 9

6 t - 0.78 + 0.78 = 9+ 0.78

6 t = 9.78

$6 t \div 6 = 9.78 \div 6$

t = 1.63

Report an Error

Example Question #904 : Concepts

Solve for :

10 - 0.4t = 8.11

Possible Answers:

t = 45.275

t = 4.725

t = - 45.275

t = -4.725

Correct answer:

t = 4.725

Explanation:

10 - 0.4t = 8.11

10 - 0.4t - 10 = 8.11- 10

-0.4t = - ( 10.00 - 8.11 )

-0.4t = - 1.89

$0.4t \div 0.4 = - 1.89 \div \left ( -0.4 \right )$

$t = 1.89 \div 0.4$

Move each decimal point one digit right:

$t = 18.9 \div 4 = 4.725$

Report an Error

Example Question #905 : Concepts

Give the solution set of the inequality:

4t + 9 < 35

Possible Answers:

$t < 6 \frac{1}{2}$

t < 13

t < 11

$t < 7 \frac{1}{2}$

Correct answer:

$t < 6 \frac{1}{2}$

Explanation:

4t + 9 < 35

4t + 9 -9 < 35-9

4t < 26

$4t \div 4 < 26 \div 4$

$t < 6 \frac{2}{4}$

$t < 6 \frac{1}{2}$

Report an Error

Example Question #301 : Algebraic Concepts

f(x) = 50 - 4x

Evaluate f (10.5 )

Possible Answers:

Correct answer:

Explanation:

f(x) = 50 - 4x

$f(10.5) = 50 - 4 \cdot 10.5 = 50 - 42 = 8$

Report an Error

Example Question #2422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Define $f (x) = \frac{1}{2} x - 7$

Evaluate: f (12)

Possible Answers:

$2 \frac{1}{2}$

$6 \frac{1}{2}$

Correct answer:

Explanation:

$f (x) = \frac{1}{2} x - 7$

$f (12) = \frac{1}{2} \cdot 12 - 7$

f (12) =6- 7

f (12) =-1

Report an Error

Example Question #907 : Concepts

Define $g (x) =\left ( x -6 \right )^{2}$

Evaluate g(8.7)

Possible Answers:

2.89

13.69

7.29

9.61

Correct answer:

7.29

Explanation:

$g (x) =\left ( x -6 \right )^{2}$

$g (8.7 ) =\left (8.7 -6 \right )^{2}$

$g (8.7 ) =2.7 ^{2}$

$g (8.7 ) =2.7 \cdot 2.7$

g (8.7 ) =7.29

Report an Error

View Tutors

Khala
Certified Tutor

Hampton University, Bachelor of Science, Ecology and Evolutionary Biology. Howard University, Doctor of Medicine, Alternative...

View Tutors

Robert
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, English. North Carolina Central University, Master of Arts, En...

View Tutors

Marie
Certified Tutor

Silliman University, Master of Science, Mathematics.

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Philadelphia, Statistics Tutors in Philadelphia, ACT Tutors in Boston, Math Tutors in Phoenix, Reading Tutors in Seattle, Statistics Tutors in Denver, Algebra Tutors in Dallas Fort Worth, Reading Tutors in Atlanta, Physics Tutors in Miami, Chemistry Tutors in Boston

Popular Courses & Classes

Spanish Courses & Classes in Seattle, ISEE Courses & Classes in Washington DC, MCAT Courses & Classes in Denver, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Washington DC, MCAT Courses & Classes in Philadelphia, SAT Courses & Classes in New York City, SAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Denver, SSAT Courses & Classes in New York City

Popular Test Prep

GMAT Test Prep in New York City, ISEE Test Prep in Boston, MCAT Test Prep in Miami, ISEE Test Prep in Houston, ISEE Test Prep in San Diego, LSAT Test Prep in Phoenix, ISEE Test Prep in Seattle, MCAT Test Prep in Los Angeles, MCAT Test Prep in Boston, SSAT Test Prep in Chicago

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 Middle Level Math : Algebraic Concepts

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #95 : How To Find The Solution To An Equation

Example Question #96 : Equations

Example Question #901 : Concepts

Example Question #902 : Concepts

Example Question #903 : Concepts

Example Question #904 : Concepts

Example Question #905 : Concepts

Example Question #301 : Algebraic Concepts

Example Question #2422 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #907 : Concepts

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: