Call Now to Set Up Tutoring:

(888) 888-0446

SAT Mathematics : SAT Math

Study concepts, example questions & explanations for SAT Mathematics

Create An Account

All SAT Mathematics Resources

137 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #10 : Translating Words To Linear Equations

A skating rink can be rented for private parties. For the rental, the rink charges a $100 setup fee plus $3 per minute of the duration of the party. Which of the following expresses in dollars the rental cost, , of a party that lasts for minutes?

Possible Answers:

C=103m

C =100m+3

$C=100+\frac{m}{3}$

C=100+3m

Correct answer:

C=100+3m

Explanation:

The initial cost of the party is $100, and that part of the cost does not increase or decrease based on the number of minutes. So the correct equation must have a standalone 100 as part of the cost. Then the additional cost is $3 for each minute. That means you need to multiply $3 times the number of minutes, . This makes the proper equation C=100+3m .

Report an Error

Example Question #121 : Sat Math

At her part-time job, Alexis earns dollars per hour and works hours per week. Which of the following expresses the condition that her total earnings for a week are at least dollars?

Possible Answers:

$dx\leq h$

xh<d

dh>x

$dh\geq x$

Correct answer:

$dh\geq x$

Explanation:

What gives this problem its difficulty is its abstraction--all the answer choices are variables--but you can simplify that abstraction in one of two ways:

1) Write out the relationship in words that you know. You know that the amount of money you earn per hour times the number of hours is your total pay. For Alexis, we know that's . And we know that her total pay is at least (which means greater than or equal to) . So by methodically listing out the concepts, not just the variables, we can get to: $dh\geq x$

2) You could also pick simple numbers to set up the math, since most people are much more comfortable with numbers than with variables. If you were to say that d=20 (she earns $20/hour) and that she works 10 hors per week ( h=10 ), you would know to set up her total pay as $20\times 10$ . Well, working back to variables, you know that that's . And then if you were to say that that total is at least , that's $dh\geq x$ .

Report an Error

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

Nancy is visiting her grandmother who lives 200km from her home. Her car’s tank has a full tank ( liters) at the beginning of her drive and uses liter to drive kilometers. How many liters will she need to refill to reach her grandmother’s house with liters left in the tank?

Possible Answers:

9.8 liters

She will not need to refill.

liters

13.3 liters

Correct answer:

13.3 liters

Explanation:

The correct answer is 13.3 liters. $\frac{6\, kilometers}{1\, liter}*20\, liters=120km$ . 200-120=80 . $\frac{1\, liter}{6\, kilometers}*80\, kilometers=13.3\, liters$ .

Report an Error

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

A future pharmacist is unsure what dose they should fill to ensure a patient takes a -mg tablet times a day for one whole week. What is the total dosage they should prescribe?

Possible Answers:

1300mg

200mg

2000mg

980mg

Correct answer:

980mg

Explanation:

The correct answer is 980 mg. $\frac{35\, mg}{1\, tablet}*\frac{4\, tablet}{1\, day}*\frac{7\, days}{1\, week}=980mg$ .

Report an Error

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

A patient is prescribed 24mg of a certain drug per day and is allowed to refill his prescription twice. If there are tablets in a prescription, and each tablet has 16mg , how many doses are in the prescriptions (original + refills)?

Possible Answers:

doses

Correct answer:

doses

Explanation:

$3\, prescriptions*\frac{18\, tablets}{1\, prescription}*\frac{24\, mg}{1\, tablet}*\frac{1\, dose}{16\, mg}=81\, doses$

Report an Error

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

A fruit farm produces strawberries and employs workers. Each worker can pick pounds of berries per hour and work an -hour shift. If each pound of strawberries can be sold for $\$4$ , how much money does the farm make every day?

Possible Answers:

$\$672$

$\$336$

$\$224$

$\$168$

Correct answer:

$\$672$

Explanation:

The key here is to ensure your units cancel out. $\frac{3\, lbs}{1\, worker*1\, hr}*\frac{4\, dollars}{1\, lb}*\frac{8\, hrs*7\, workers}{1\, day\, of\, labor}=\$672$ .

Report an Error

Example Question #3 : Solving Word Problems With Multiple Unit Conversions

A record has a radius of inches with the needle resting on the outer circumference of the record. If the record rotates at a speed of $\frac{\pi }{4}$ radians/sec and it takes minutes to play a full song, how inches of track have been covered by the end of the song?

Possible Answers:

112.5

706.5

353.3

1776

Correct answer:

706.5

Explanation:

Circumference $=2\pi r=10\pi$ inches. The key here is to ensure your units cancel out. $\frac{10\pi \, inches}{1\, revolution}*\frac{1\, revolution}{2\pi \, radians}*\frac{\frac{\pi }{4}\, radians}{1\, second}*\frac{60\, seconds}{1\, minute}*3\, minutes=706.5$ inch.

Report an Error

Example Question #1 : Solving Word Problems

A student was traveling miles per hour. What is the student’s speed in feet per second?

Possible Answers:

73.3

80.8

728

4400

Correct answer:

73.3

Explanation:

$\frac{50\, mi}{1\, hr}*\frac{1\, hr}{3600\, sec}*\frac{5280\, ft}{1\, mi}=73.3\, ft/sec$

Report an Error

Example Question #1 : Solving Word Problems

Convert $9\, ft^{3}$ to $yd^{3}$ .

Possible Answers:

0.25

0.33

Correct answer:

0.33

Explanation:

$9\, ft^{3}*\left ( \frac{1\, yd}{3\, ft} \right )^{3}=9\, ft^{3}*\left ( \frac{1\, yd^{3}}{27\, ft^{3}} \right )=0.33\, yd^{3}$

Report an Error

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

The local track is 400 yds. How many laps would a student need to cover to run miles?

Possible Answers:

4.4

13.2

8.8

17.6

Correct answer:

13.2

Explanation:

$\frac{1\, lap}{400\, yds}*\frac{1\, yd}{3\, ft}*\frac{5280\, ft}{1\, mi}*3\, miles=13.2\, laps$

Report an Error

View Tutors

Jonathan
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Mathematics.

View Tutors

Chiquita
Certified Tutor

Troy University, Bachelor of Science, Education. University of Phoenix-Atlanta Campus, Master of Arts, Adult and Continuing E...

View Tutors

Makayla
Certified Tutor

Highline Community College, Associate in Arts, Arts, General. Washington State University, Bachelor of Science, International...

All SAT Mathematics Resources

137 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Chemistry Tutors in Miami, SSAT Tutors in San Diego, Statistics Tutors in Washington DC, Spanish Tutors in Los Angeles, Statistics Tutors in Denver, LSAT Tutors in Denver, Spanish Tutors in San Francisco-Bay Area, Math Tutors in Denver, Physics Tutors in Washington DC, Computer Science Tutors in Washington DC

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Miami, GRE Courses & Classes in New York City, GMAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Miami, ACT Courses & Classes in Atlanta, MCAT Courses & Classes in Denver, GMAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Los Angeles, ACT Test Prep in Atlanta, MCAT Test Prep in Philadelphia, MCAT Test Prep in Houston, SAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Chicago, SSAT Test Prep in Seattle, LSAT Test Prep in Miami, ISEE Test Prep in Dallas Fort Worth, SSAT Test Prep in Dallas Fort Worth

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

SAT Mathematics : SAT Math

Study concepts, example questions & explanations for SAT Mathematics

All SAT Mathematics Resources

Example Questions

Example Question #10 : Translating Words To Linear Equations

Example Question #121 : Sat Math

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

Example Question #2 : Solving Word Problems With Multiple Unit Conversions

Example Question #3 : Solving Word Problems With Multiple Unit Conversions

Example Question #1 : Solving Word Problems

Example Question #1 : Solving Word Problems

Example Question #1 : Solving Word Problems With Multiple Unit Conversions

All SAT Mathematics Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: