Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : GED Math

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #42 : Single Variable Algebra

Simplify the following equation: 8x-24 = 12

Possible Answers:

$\frac{3}{2}$

$\frac{9}{2}$

$\frac{2}{3}$

$\frac{2}{9}$

Correct answer:

$\frac{9}{2}$

Explanation:

Add 24 on both sides of the equation.

8x-24 +24= 12+24

8x=36

Divide by 8 on both sides.

$\frac{8x}{8}=\frac{36}{8}$

Reduce both fractions.

$\frac{36}{8} = \frac{4\times 9}{4\times 2}$

The answer is: $\frac{9}{2}$

Report an Error

Example Question #41 : Single Variable Algebra

Factor: 3x^3 -3x^2-9x^5

Possible Answers:

3x^2(-3x^3+x-1)

3x^2(-3x^3-x-1)

-3x(3x^3-x-1)

-3x^2(-3x^3-x-1)

-3x^2(3x^3-x-1)

Correct answer:

3x^2(-3x^3+x-1)

Explanation:

In order to factor, we will need to pull out a term that all terms share.

3x^3 -3x^2-9x^5 = 3x^2(x-1-3x^3)

The answer is: 3x^2(-3x^3+x-1)

Report an Error

Example Question #42 : Single Variable Algebra

Simplify: $3x^2(\frac{1}{6x}-\frac{1}{2})$

Possible Answers:

$\frac{1}{2}- \frac{3}{2}x^2$

$\frac{1}{2x^3}- \frac{1}{6x^2}$

$\frac{1}{2x^3}- \frac{3}{2}$

$\frac{1}{2}x- \frac{3}{2}x^2$

-x^2

Correct answer:

$\frac{1}{2}x- \frac{3}{2}x^2$

Explanation:

Distribute the outer term through both of the inner terms.

$3x^2(\frac{1}{6x}-\frac{1}{2}) = 3x^2(\frac{1}{6x}) -3x^2(\frac{1}{2})$

Simplify the terms.

The answer is: $\frac{1}{2}x- \frac{3}{2}x^2$

Report an Error

Example Question #42 : Algebra

Solve the equation: $\frac{3}{x}= -7$

Possible Answers:

$-\frac{1}{21}$

$-\frac{3}{7}$

$-\frac{1}{10}$

$-\frac{7}{3}$

Correct answer:

$-\frac{3}{7}$

Explanation:

Multiply both sides by .

$\frac{3}{x} \cdot x= -7\cdot x$

3 = -7x

Divide by negative seven on both sides.

$\frac{3}{-7} = \frac{-7x}{-7}$

The answer is: $-\frac{3}{7}$

Report an Error

Example Question #42 : Algebra

Simplify the following fraction:

$\frac{x^3+4x^2-24x}{x^3-2x^2-3x}$

Possible Answers:

$\frac{x-3}{x+8}$

$\frac{x+3}{x-1}$

$\frac{x+8}{x}$

$\frac{x+8}{x+1}$

Correct answer:

$\frac{x+8}{x+1}$

Explanation:

$\frac{x^3+4x^2-24x}{x^3-2x^2-3x}$

Start by factoring the numerator.

Notice that each term in the numerator has an , so we can factor that out.

x^3+4x^2-24x=x(x^2+5x-24)

Now, factor the expression within the parentheses.

x(x^2+5x-24)=x(x+8)(x-3)

Now, factor the denominator. Notice that each term in the denominator also has an , so we can factor that out too.

x^3-2x^2-3x=x(x^2-2x-3)

Next, factor the expression within the parentheses.

x(x^2-2x-3)=x(x-3)(x+1)

Rewrite the fraction using the factored forms of both numerator and denominator.

$\frac{x^3+4x^2-24x}{x^3-2x^2-3x}=\frac{x(x+8)(x-3)}{x(x-3)(x+1)}$

Since the numerator and denominator both have the terms and x-3 , those will cancel out, leaving us with the following:

$\frac{x^3+4x^2-24x}{x^3-2x^2-3x}=\frac{x+8}{x+1}$

Report an Error

Example Question #1 : Solving For The Variable

Solve for :

$\small \frac{n}{2}+4=10$

Possible Answers:

$\small n=12$

$\small n=28$

$\small n=3$

$\small n=7$

Correct answer:

$\small n=12$

Explanation:

$\small \frac{n}{2}+4=10$

$\small 2(\frac{n}{2}+4)=2(10)$

$\small n+8=20$

$\small n+8-8=20-8$

$\small n=12$

Report an Error

Example Question #2 : Solving For The Variable

Solve for :

$\small \frac{n}{2}+4=3$

Possible Answers:

$\small n=-1$

$\small n=-2$

$\small n=1$

$\small n=3$

Correct answer:

$\small n=-2$

Explanation:

$\small \frac{n}{2}+4=3$

$\small 2(\frac{n}{2}+4)=2(3)$

$\small n+8=6$

$\small n+8-8=6-8$

$\small n=-2$

Report an Error

Example Question #3 : Solving For The Variable

Two more than twice a number equals 9. What's the square of that number?

Possible Answers:

$\frac{49}{2}$

$\frac{49}{4}$

$\sqrt{\frac{7}{2}}$

$\frac{7}{2}$

Correct answer:

$\frac{49}{4}$

Explanation:

Rewrite the algebraic expression in a mathematical formula.

2x+2=9

Solve for x.

2x =7

$x= \frac{7}{2}$

The square of this number is:

$x^2 = \frac{49}{4}$

Report an Error

Example Question #3 : Solving For The Variable

5(y + 4) +2 (y + 2) = 7y

Solve for .

Possible Answers:

y = 1

No solution

y = 24

y = 0

Correct answer:

No solution

Explanation:

5(y + 4) +2 (y + 2) = 7y

$5 \cdot y + 5 \cdot 4 +2 \cdot y +2 \cdot 2 = 7y$

5 y +20+2 y +4 = 7y

5 y +2 y +20+4 = 7y

7y +24 = 7y

7y - 7y+24 = 7y - 7y

24 = 0

Since the original statement forces this false statement to be true, the original statement is false regardless of the value of . There is no solution.

Report an Error

Example Question #51 : Single Variable Algebra

Solve the inequality for :

$6-\frac{x}{3} > 8$

Possible Answers:

$\left (42, \infty \right )$

$\left ( -\infty ,-6 \right )$

$\left ( -\infty ,-42 \right )$

$\left (6, \infty \right )$

Correct answer:

$\left ( -\infty ,-6 \right )$

Explanation:

$6-\frac{x}{3} > 8$

$6-\frac{x}{3}- 6 > 8 - 6$

$-\frac{x}{3} > 2$

$-\frac{x}{3} \cdot (-3) < 2 \cdot (-3)$ - note the switch in the inequality symbol

x < -6

That is, $\left ( -\infty ,-6 \right )$ .

Report an Error

View Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Tutors

Thomas
Certified Tutor

Michigan State University, Bachelor in Arts, History. Central Michigan University, Doctor of Philosophy, History.

View Tutors

Bria
Certified Tutor

University of Colorado Boulder, Bachelor of Science, International Relations.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Phoenix, Calculus Tutors in Seattle, Math Tutors in Los Angeles, ACT Tutors in Boston, Biology Tutors in New York City, ACT Tutors in San Diego, Spanish Tutors in Seattle, Biology Tutors in Chicago, Chemistry Tutors in Boston, Physics Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in Philadelphia, SSAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Seattle, MCAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in New York City, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Denver, MCAT Courses & Classes in Chicago, GMAT Courses & Classes in Denver

Popular Test Prep

SAT Test Prep in Miami, SSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Washington DC, MCAT Test Prep in Philadelphia, GMAT Test Prep in New York City, GRE Test Prep in Chicago, GRE Test Prep in Boston, GMAT Test Prep in Houston, GRE Test Prep in Miami, SSAT Test Prep in Philadelphia

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

GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #42 : Single Variable Algebra

Example Question #41 : Single Variable Algebra

Example Question #42 : Single Variable Algebra

Example Question #42 : Algebra

Example Question #42 : Algebra

Example Question #1 : Solving For The Variable

Example Question #2 : Solving For The Variable

Example Question #3 : Solving For The Variable

Example Question #3 : Solving For The Variable

Example Question #51 : Single Variable Algebra

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: