Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Solving for the Variable

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 #11 : Solving For The Variable

Give the solution set of the inequality:

-7y + 10 > 3y + 12

Possible Answers:

$\left ( -\frac{1}{5}, \infty \right )$

$\left ( -\infty, -\frac{1}{5} \right )$

$\left ( -\infty, -\frac{1}{2} \right )$

$\left ( -\frac{1}{2}, \infty \right )$

Correct answer:

$\left ( -\infty, -\frac{1}{5} \right )$

Explanation:

-7y + 10 > 3y + 12

-7y + 10 - 3y > 3y + 12 - 3y

-10y + 10 > 12

-10y + 10 - 10 > 12 - 10

-10y > 2

$-10y \div (-10) < 2 \div (-10)$

Note that the inequality symbol changes.

$y < -\frac{2}{10}$

$y < -\frac{1}{5}$

or, in interval notation, $\left ( -\infty, -\frac{1}{5} \right )$ .

Report an Error

Example Question #12 : Solving For The Variable

Solve for :

$-\frac{2}{7} y \geq -4$

Possible Answers:

$\left [ - \frac{8}{7}, \infty \right)$

$\left ( -\infty , 14\right ]$

$\left ( -\infty , \frac{8}{7}\right ]$

$\left [ -14, \infty \right)$

Correct answer:

$\left ( -\infty , 14\right ]$

Explanation:

$-\frac{2}{7} y \geq -4$

$-\frac{2}{7} y \cdot\left ( -\frac{7} {2} \right ) \leq -4 \cdot\left ( -\frac{7} {2} \right )$

Note that the inequality symbol changes.

$y\leq \frac{28} {2}$

$y\leq 14$

or, in interval notation, $\left ( -\infty , 14\right ]$ .

Report an Error

Example Question #63 : Algebra

$10 > 7-\frac{x}{4} > 5$

Possible Answers:

(-8, 12)

(-33, 13)

(-12, 8)

(-13, 33)

Correct answer:

(-12, 8)

Explanation:

$10 > 7-\frac{x}{4} > 5$

$10 - 7 > 7-\frac{x}{4} - 7 > 5 - 7$

$3 > -\frac{x}{4} > -2$

$3 \cdot (-4) < -\frac{x}{4} \cdot (-4) < -2 \cdot (-4)$

Note the switch in the inequality symbol.

-12< x< 8 .

This can also be written as (-12, 8) .

Report an Error

Example Question #13 : Solving For The Variable

Which of the following is the solution set of the inequality $-13 \leq 8-3x \leq 20$ ?

Possible Answers:

$\left [ -7, - 4 \right ]$

$\left [ 4, 7\right ]$

$\left [ -4, 7\right ]$

$\left [ -7, 4 \right ]$

Correct answer:

$\left [ -4, 7\right ]$

Explanation:

Solve using the properties of inequality, as follows:

$-13 \leq 8-3x \leq 20$

$-13- 8 \leq 8-3x - 8 \leq 20 - 8$

$-21 \leq -3x \leq 12$

$-21 \div (-3) \geq -3x \div (-3) \geq 12 \div (-3)$

Note that division by a negative number reverses the symbols.

$7 \geq x\geq -4$

In interval form, this is $\left [ -4, 7\right ]$ .

Report an Error

Example Question #65 : Algebra

If 7x + 6 = 27 , then 4x + 12 =

Possible Answers:

Correct answer:

Explanation:

To solve this you must find the value of .

The first equation states that 7x + 6 = 27 . This is a mult-step equation. The first step is to remove the constant, 6, from the equation; this is done by using the inverse operation, which means you would subtract the 6 from both sides of the equation.

7x + 6 - 6 = 27 -6

7x = 21

Then divide both sides by the 7 in order to isolate the variable.

$\frac{7x}{7}$ $=\frac{21}{7}$

x = 3

Then plug the 3 into the second equation for the value of x.

(4 x 3) + 12 = 24

Report an Error

Example Question #64 : Single Variable Algebra

If 5(x-5) = 50 , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

The first step in the process of solving for in this problem is to use the distributive property to distribute the to what is inside the parentheses.

5x - 25

The next step is to isolate the variable by using inverse operations. In this example, in order to get rid of the , you would add to both sides of the equation.

5x - 25 + 25 = 50 + 25

5x = 75

The next step is to divide both sides by the coefficient, (the number next to the variable), which in this case is .

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

$\frac{75}{5} = 15$

x = 15

Report an Error

Example Question #14 : Solving For The Variable

If x + 12 = 30 , then what is the value of ?

Possible Answers:

Correct answer:

Explanation:

In order to solve for the value of you must isolate the variable. This is done by subtracting the constant in this equation, which is 12, from both sides of the equation.

x + 12 - 12 = 30 - 12

x = 18

Report an Error

Example Question #65 : Single Variable Algebra

Solve for : 2x =-2y+7x

Possible Answers:

$x=-\frac{2}{9y}$

$x=-\frac{2}{5}y$

$x=-\frac{2}{9}y$

$x=-\frac{2}{5y}$

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

Correct answer:

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

Explanation:

In order to solve for , we will need the equation to be in terms of , and isolate the variable .

Solve by grouping the terms together. Subtract on both sides.

2x-(7x) =-2y+7x-(7x)

-5x = -2y

Divide by negative five on both sides.

$\frac{-5x }{-5}= \frac{-2y}{-5}$

The answer is: $x=\frac{2}{5}y$

Report an Error

Example Question #66 : Single Variable Algebra

Solve for : 2x+18 = -9(2x)+2x

Possible Answers:

$\frac{11}{18}$

$\textup{No solution.}$

Correct answer:

Explanation:

Distribute the term on the right side of the equation.

2x+18 = -18x+2x

Combine like terms.

2x+18 = -16x

Subtract on both sides.

2x+18 -2x= -16x-2x

18 = -18x

Divide by negative on both sides.

$\frac{18}{-18} = \frac{-18x}{-18}$

The answer is: x=-1

Report an Error

Example Question #65 : Algebra

Which of the following makes this equation true:

12y-3=33

Possible Answers:

y=3

y=2

y=7

y=4

y=6

Correct answer:

y=3

Explanation:

To answer the question, we will solve for y. So, we get

12y-3=33

12-3+3=33+3

12y-0=36

12y=36

$\frac{12y}{12} = \frac{36}{12}$

y = 3

Report an Error

View Tutors

Abe
Certified Tutor

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

View Tutors

Lauren
Certified Tutor

Ohio University-Eastern Campus, Bachelor in Arts, Early Childhood Education.

View Tutors

Vikram
Certified Tutor

ICFAI , Master's/Graduate, Investment. CFA Institute, Professional (JD, MD, DMD, etc), Investment.

All GED Math Resources

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

Popular Subjects

Statistics Tutors in Chicago, ISEE Tutors in Boston, French Tutors in New York City, Computer Science Tutors in Dallas Fort Worth, Calculus Tutors in Dallas Fort Worth, French Tutors in Boston, English Tutors in Philadelphia, ISEE Tutors in San Francisco-Bay Area, GMAT Tutors in Denver, MCAT Tutors in Miami

Popular Courses & Classes

MCAT Courses & Classes in Denver, Spanish Courses & Classes in Los Angeles, ISEE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Boston, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in Miami, LSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Chicago, ACT Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in San Diego, GRE Test Prep in New York City, SAT Test Prep in Atlanta, GMAT Test Prep in Seattle, ACT Test Prep in Atlanta, LSAT Test Prep in Seattle, SAT Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth, ACT Test Prep in Washington DC, GRE Test Prep in Seattle

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 : Solving for the Variable

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Solving For The Variable

Example Question #12 : Solving For The Variable

Example Question #63 : Algebra

Example Question #13 : Solving For The Variable

Example Question #65 : Algebra

Example Question #64 : Single Variable Algebra

Example Question #14 : Solving For The Variable

Example Question #65 : Single Variable Algebra

Example Question #66 : Single Variable Algebra

Example Question #65 : Algebra

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: