Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Algebra

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 #24 : Word Problems In Algebra

After a $18\%$ discount, a pair of shoes costs $\$64.58$ . What was the original price of the shoes?

Possible Answers:

$\$83.66$

$\$91.27$

$\$66.09$

$\$78.76$

Correct answer:

$\$78.76$

Explanation:

Let be the original price of the shoes. Since the shoes were $18\%$ off, we can write the following equation:

x-0.18x=64.58

Now, solve for .

0.72x=64.58

x=78.76

The shoes originally cost $\$78.76$ .

Report an Error

Example Question #22 : Word Problems In Algebra

Joseph is responsible for planning his company's holiday party. He has been given a budget of $\$4550$ for renting a venue and providing dinner for all the attendees. The cost for renting a venue is $\$1050$ . He expects employees to show up to the party. Which inequality shows how to find the amount, , that Joseph can spend on dinner for each person?

Possible Answers:

$47d+1050\leq4550$

$47+1050d\leq4550$

$47+1050d\geq4550$

47d+1050<4550

Correct answer:

$47d+1050\leq4550$

Explanation:

Since Joseph has a budget of $\$4550$ , that means he cannot spend above that amount. This translates to the use of the less than or equal sign, $\leq$ , in the inequality.

The total cost for the dinner for all the attendees can be found by multiplying the number of attendees by the cost of each dinner, .

The rental of the venue is a one-time payment.

Thus, we can write the following inequality:

$47d+1050\leq4550$

Report an Error

Example Question #31 : Word Problems In Algebra

A delivery service charges a $\$5$ delivery flat fee then an additional $\$0.55$ for each ounce the package weighs. Which of the following expressions would give the total cost for the delivery of an item weighing ounces?

Possible Answers:

0.55z+5

0.55z-5

0.55z

5z+0.55

Correct answer:

0.55z+5

Explanation:

Since the company charges $\$0.55$ per ounce, an item weighing ounces would then cost 0.55z to ship, based on weight alone. The question also states that there is a flat $\$5$ fee for each delivery.

Thus we can write the following expression to represent the total cost of shipping:

0.55z+5

Report an Error

Example Question #161 : Single Variable Algebra

A sweater originally priced at dollars goes on sale for $20\%$ off. After a week, the sweater's price is further reduced $15\%$ , and then it was sold. Which of the following expressions would be the price of the price the sweater sold for?

Possible Answers:

0.65d

0.55d

0.68d

0.75d

Correct answer:

0.68d

Explanation:

Start by finding the price of the sweater after the first price cut. Since it was $20\%$ off, we can write the following:

d-0.2d=0.8d

The sweater cost 0.8d after the first price cut.

Then, find the price when after the second price cut, which was $15\%$ the already discounted price.

0.8d-0.15(0.8)d=0.68d

Report an Error

Example Question #31 : Word Problems In Algebra

An ambulance service charges $\$1250$ for the initial call, then $\$40$ per mile it takes to get to the hospital. Which of the following expressions represents the cost of taking an ambulance miles to the hospital?

Possible Answers:

40m

40m+1250

1250+m

1250m+40

Correct answer:

40m+1250

Explanation:

Start by finding out how much it will take to take the ambulance miles. Since it costs $\$40$ per mile, then 40m represents the cost of just the travel. Next, you need to include the fixed cost of $\$1250$ .

Thus, the total cost of the ambulance trip is expressed with 40m+1250 .

Report an Error

Example Question #721 : Ged Math

A number, when multiplied by gives us a result of 200 . Find the number.

Possible Answers:

Correct answer:

Explanation:

Lets say that this number is . If we follow what the question is saying, we come up with the equation:

5*x=200

We will divide both sides by 4 to isolate on the left side.

So,

$\frac {{\color{Red} 5}*x}{{\color{Red} 5}}=\frac {200}{{\color{Red} 5}}$

We simplify:

x=40

Report an Error

Example Question #31 : Word Problems In Algebra

This winter, it snowed ten more inches than five times the amount of snow the previous winter, during which it snowed one half as much as the winter before that. If two years ago it snowed twenty inches, how much did it snow this winter?

Possible Answers:

$50\;\textup{in}$

$60\;\textup{in}$

$75\;\textup{in}$

$110\;\textup{in}$

$45\;\textup{in}$

Correct answer:

$60\;\textup{in}$

Explanation:

For simplicity, let's call our years , , and , with being the amount of snow it snowed two years ago, being the amount of snow it snowed last year, and being the amount of snow it snowed this year. Now, we know that year is . Based on this, we can say that is . Finally, we know that year year could be written:

C=10+5B

Based on our data, this is:

$C=10+5\cdot10$

C=10+50

$C=60\;\textup{in}$

Report an Error

Example Question #32 : Word Problems In Algebra

Marge and William are running away from each other in opposite directions. Marge is running at a rate of $1.2\;\frac{m}{s}$ , while William is running at a rate of $0.8\;\frac{m}{s}$ . In how many minutes will they be $12\;\textup{km}$ from each other?

Possible Answers:

$90\;\textup{min}$

$6000\;\textup{min}$

$100\;\textup{min}$

$3600\;\textup{min}$

$7200\;\textup{min}$

Correct answer:

$100\;\textup{min}$

Explanation:

Every second, you know that Marge and William will become a total of $1.2\,\frac{m}{s}+0.8\,\frac{m}{s}$ or $2.0\,\frac{m}{s}$ . Now, you can use the simple work formula for distance:

D=RT or, for our data, 12000=2T

(Remember kilometers is $12\cdot1000=12000$ meters.)

Thus, solving for you get:

$\frac{12000}{2}=\frac{2T}{2}$

T=6000

This is in seconds, though. You need minutes. To convert, you need to divide by :

$6000\;\textup{s}\cdot\frac{1\;\textup{min}}{60\;\textup{s}}$

$\frac{6000\;\textup{s}}{60\;\textup{s}}=100\;\textup{min}$

Report an Error

Example Question #1 : Slope Intercept Form

Which of the following equations is written in slope-intercept form?

Possible Answers:

$\small 4x-y=-2$

$\small y=4x+2$

$\small x=\frac{1}{4}y-2$

$\small 4x-y+2=0$

Correct answer:

$\small y=4x+2$

Explanation:

Slope-intercept form is written as $\small y=mx+b$ .

There is only one answer choice in this form:

$\small y=4x+2$

Report an Error

Example Question #2 : Slope Intercept Form

Rewrite the following equation in slope-intercept form.

2+4y=3x+10

Possible Answers:

$y=\frac{3}{4}x+2$

$y=\frac{3}{4}x+32$

$y=\frac{3}{4}x+3$

-3x+4y=8

$x=\frac{4}{3}y-\frac{8}{3}$

Correct answer:

$y=\frac{3}{4}x+2$

Explanation:

The slope-intercept form of a line is: y=mx+b , where is the slope and is the y intercept.

Below are the steps to get the equation 2+4y=3x+10 into slope-intercept form.

$2+4y=3x+10 \textup{ (Subtract 2 from both sides)}$

$4y=3x+8 \textup{ (Divide both sides by 4)}$

$y=\frac{3}{4}x+2$

Report an Error

View Tutors

Kara
Certified Tutor

University of Central Missouri, Bachelor of Science, Science Teacher Education. University of Central Missouri, Certificate, ...

View Tutors

Anton
Certified Tutor

Massachusetts Institute of Technology, Bachelor of Science, Computer Engineering, General.

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

All GED Math Resources

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

Popular Subjects

LSAT Tutors in Boston, Chemistry Tutors in Denver, French Tutors in Boston, Calculus Tutors in Washington DC, Algebra Tutors in Boston, ISEE Tutors in Seattle, SAT Tutors in Los Angeles, ISEE Tutors in Philadelphia, Statistics Tutors in Phoenix, Math Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Houston, LSAT Courses & Classes in Chicago, ISEE Courses & Classes in Philadelphia, Spanish Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Chicago, ACT Courses & Classes in Seattle, MCAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, SAT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in San Diego, ISEE Test Prep in Philadelphia, SAT Test Prep in Denver, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Seattle, SAT Test Prep in Boston, ACT Test Prep in San Diego, GMAT Test Prep in San Diego, SSAT Test Prep in Los Angeles

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 : Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #24 : Word Problems In Algebra

Example Question #22 : Word Problems In Algebra

Example Question #31 : Word Problems In Algebra

Example Question #161 : Single Variable Algebra

Example Question #31 : Word Problems In Algebra

Example Question #721 : Ged Math

Example Question #31 : Word Problems In Algebra

Example Question #32 : Word Problems In Algebra

Example Question #1 : Slope Intercept Form

Example Question #2 : Slope Intercept Form

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: