Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2921 : Algebra 1

You decide that 15 pairs of shoes is far too many and sell 8 of them. Your percent decrease in shoes is?

Possible Answers:

None of these.

$67\%$

$47\%$

$22\%$

$52\%$

Correct answer:

$47\%$

Explanation:

Subtract the new value from the old value:

15-8=7

Divide by the original number:

$7\div15=.4666666667$

Multiply by 100:

$.4666666667*100=47\%$

A 47% decrease in shoes.

Report an Error

Example Question #131 : Percent Of Change

Last week, a case of water cost $4.00. This week, it is on sale for $3.00 a case. Find the percent decrease.

Possible Answers:

$15\%$

$25\%$

$10\%$

$50\%$

$12\%$

Correct answer:

$25\%$

Explanation:

To find the percent decrease, we will use the following formula:

$\text{percent decrease} = \frac{\text{original price - new price}}{\text{original price}} \cdot 100$

$\text{percent decrease} = \frac{\$4.00 - \$3.00}{\$4.00} \cdot 100$

$\text{percent decrease} = \frac{\$1.00}{\$4.00} \cdot 100$

$\text{percent decrease} = 0.25 \cdot 100$

$\text{percent decrease} = 25\%$

Report an Error

Example Question #23 : How To Find The Percent Of Decrease

Yesterday, chicken cost $4 a pound. Today, it costs $3.50 a pound. Find the percent decrease.

Possible Answers:

$10\%$

$12.5\%$

$50\%$

$25\%$

$15\%$

Correct answer:

$12.5\%$

Explanation:

To find the percent decrease, we will use the following formula:

$\text{percent decrease} = \frac{\text{original price - new price}}{\text{original price}} \cdot 100$

$\text{percent decrease} = \frac{\$4.00 - \$3.50}{\$4.00} \cdot 100$

$\text{percent decrease} = \frac{\$0.50}{\$4.00} \cdot 100$

$\text{percent decrease} = 0.125 \cdot 100$

$\text{percent decrease} = 12.5\%$

Report an Error

Example Question #24 : How To Find The Percent Of Decrease

Last week, a shirt cost $25. This week, it is on sale for $10. Find the percent decrease.

Possible Answers:

$55\%$

$50\%$

$65\%$

$60\%$

$70\%$

Correct answer:

$60\%$

Explanation:

To find the percent decrease, we use the following formula:

$\text{percent decrease} = \frac{\text{original price - new price}}{\text{original price}} \cdot 100$

$\text{percent decrease} = \frac{\$25 - \$10}{\$25} \cdot 100$

$\text{percent decrease} = \frac{\$15}{\$25} \cdot 100$

$\text{percent decrease} = 0.60 \cdot 100$

$\text{percent decrease} = 60\%$

Therefore, the percent decrease of the shirt is 60%.

Report an Error

Example Question #25 : How To Find The Percent Of Decrease

A tennis player won 25 of her 35 matches in the fall season. In the spring season, she won 23 of her 35 matches. What was the tennis player's percent change in the number of games she won from fall to spring?

Possible Answers:

$-8\%$

$-12\%$

$-6\%$

$-10\%$

$-4\%$

Correct answer:

$-8\%$

Explanation:

In this question, it is important to not be confused by the total amount of games number. Since the number of games is the same, you can just take the new amount of wins subtracted by the old amount of wins then divide by the old amount and multiply by 100.

$\frac{23-25}{25}\cdot 100$

$\frac{-2}{25}\cdot 100$

$-0.08\cdot 100$

$-8\%$

The amount of games the tennis player won decreased by 8% from the fall season to the spring season.

Report an Error

Example Question #26 : How To Find The Percent Of Decrease

Your weekly allowance went from $40 to $30 a week. Find the percent decrease in your allowance.

Possible Answers:

$4\%$

$20\%$

$30\%$

$25\%$

$10\%$

Correct answer:

$25\%$

Explanation:

To find percent decrease, we use the following formula:

$\text{percent decrease} = \frac{\text{original price - new price}}{\text{original price}} \cdot 100$

Using the information given, we know the following:

$\text{original price} = \$40.00$

$\text{new price} = \$30.00$

so we can substitute these values into the formula. We get

$\text{percent decrease} = \frac{\$40.00 - \$30.00}{\$40.00} \cdot 100$

$\text{percent decrease} = \frac{\$10.00}{\$40.00} \cdot 100$

$\text{percent decrease} = 0.25 \cdot 100$

$\text{percent decrease} = 25\%$

Therefore, the percent decrease in your allowance is $25\%$ .

Report an Error

Example Question #27 : How To Find The Percent Of Decrease

In 2013, a water tower contained 950,000 gallons. By 2014, the tower only contained 860,000 gallons of water. What was the percentage change in the amount of water that the tower contained? (Round to one decimal place)

Possible Answers:

$-12\%$

$-6\%$

$-16\%$

$-13\%$

$-9.5\%$

Correct answer:

$-9.5\%$

Explanation:

Use the formula new amount subtracted by old amount then divided by the old amount and multiplied by 100. The new amount in this case is 860,000 and the old amount is 950,000.

$\frac{860000-950000}{950000}\cdot100$

$\frac{-90000}{950000}\cdot100$

$-0.0947\cdot100$

$-9.47\%$

$-9.5\%$

The amount of water in the tower decreased by 9.5%

Report an Error

Example Question #28 : How To Find The Percent Of Decrease

When performing a Google search for "Lions" the amount of search results are 257 million. After refining the search to "African Lions" the amount of search results is 6.7 million. What is the percentage change by going from a search for "Lions" to "African Lions"? (Round the answer to one decimal place)

Possible Answers:

$-88.2\%$

$-79.8\%$

$-80.4\%$

$-70.5\%$

$-97.4\%$

Correct answer:

$-97.4\%$

Explanation:

The percent change formula new amount subtracted by old amount then divided by old amount and multiplied by 100 should be used for this problem. The new amount is 6.7 million and the old amount is 257 million. It is not necessary to use the expanded numbers 6,700,000 or 257,000,000 to work out the problem but it will also work.

$\frac{6.7-257}{257}\cdot100$

$\frac{-250.3}{257}\cdot100$

$-0.9739\cdot100$

$-97.39\%$

$-97.4\%$

By refining the search, the amount of search results fell by 97.4%

Report an Error

Example Question #29 : How To Find The Percent Of Decrease

A closet contains 250 shoes. During spring cleaning, the owner decides to donate away 50 of those shoes. What is the percentage change in the amount of shoes the person owns?

Possible Answers:

$-80\%$

$-20\%$

$-40\%$

$-30\%$

$-60\%$

Correct answer:

$-20\%$

Explanation:

Use the percentage change formula new amount subtracted by old amount then divided by old amount and multiplied by 100. It is important in this question to realize what the new and old amount are. The old amount is 250 shoes. The new amount is 250 less the 50 shoes so 200. The formula should be

$\frac{200-250}{250}\cdot 100$

$\frac{-50}{250}\cdot 100$

$-0.2\cdot 100$

$-20\%$

The amount of shoes owned decreased by 20%.

Report an Error

Example Question #31 : How To Find The Percent Of Decrease

Simplify the expression

$\frac{(3x^{4})^{2}}{x^{3}}$

What is the exponent of in the simplified expression?

Possible Answers:

Correct answer:

Explanation:

Apply the properties of exponents as follows:

$\frac{(3x^{4})^{2}}{x^{3}}$

$= \frac{3^{2}(x^{4})^{2}}{x^{3}}$

$= \frac{9(x^{4 \cdot 2})}{x^{3}}$

$= \frac{9x^{8}}{x^{3}}$

$= 9x^{8-3}$

$= 9x^{5}$

5 is the correct choice.

Report an Error

View Algebra Tutors

Isabel
Certified Tutor

University of Mississippi, Bachelor of Science, Forensic Chemistry.

View Algebra Tutors

Sean
Certified Tutor

View Algebra Tutors

Max
Certified Tutor

SHAHiDBEHESHTiUNiVERSiTY, Bachelor of Science, Mathematics. SHAHiDBEHESHTiUNiVERSiTY, Master of Science, Mathematics.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Dallas Fort Worth, GRE Tutors in Philadelphia, English Tutors in Denver, Spanish Tutors in Miami, MCAT Tutors in Atlanta, SSAT Tutors in Phoenix, ISEE Tutors in Denver, Statistics Tutors in Atlanta, ACT Tutors in San Diego, English Tutors in Boston

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Phoenix, ISEE Courses & Classes in Boston, LSAT Courses & Classes in Chicago, GRE Courses & Classes in New York City, SSAT Courses & Classes in Houston, SAT Courses & Classes in Houston, LSAT Courses & Classes in Boston, LSAT Courses & Classes in Washington DC, GRE Courses & Classes in Los Angeles

Popular Test Prep

GRE Test Prep in Washington DC, LSAT Test Prep in Boston, SSAT Test Prep in Atlanta, SSAT Test Prep in Phoenix, MCAT Test Prep in Los Angeles, LSAT Test Prep in Phoenix, ACT Test Prep in Philadelphia, GMAT Test Prep in Houston, SAT Test Prep in New York City, ISEE 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

Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #2921 : Algebra 1

Example Question #131 : Percent Of Change

Example Question #23 : How To Find The Percent Of Decrease

Example Question #24 : How To Find The Percent Of Decrease

Example Question #25 : How To Find The Percent Of Decrease

Example Question #26 : How To Find The Percent Of Decrease

Example Question #27 : How To Find The Percent Of Decrease

Example Question #28 : How To Find The Percent Of Decrease

Example Question #29 : How To Find The Percent Of Decrease

Example Question #31 : How To Find The Percent Of Decrease

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: