Call Now to Set Up Tutoring:

(888) 888-0446

New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

Create An Account

All New SAT Writing and Language Resources

3 Diagnostic Tests 39 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #301 : New Sat

Tangents

In the above diagram, $\overarc {TU}$ has length $30 \pi$ . Give the radius of the circle to the nearest whole number.

Possible Answers:

The question cannot be answered with the information given.

102

Correct answer:

Explanation:

Call $t = m \overarc {TU}$ . The measure of the corresponding major arc is $360 ^{\circ } - m \overarc {TU}= 360 ^{\circ } -t$

If two tangents are drawn to a circle from a point outside the circle, the measure of the angle they form is equal to half the difference of the measures of their intercepted arcs; therefore

$\frac{1}{2} \left (360 ^{\circ } -t -t \right ) = m \angle BNT$

Substituting:

$\frac{1}{2} \left (360 ^{\circ } -2t\right ) = 66 ^{\circ }$

$180 ^{\circ } -t = 66 ^{\circ }$

$180 ^{\circ } -t + t - 66 ^{\circ } = 66 ^{\circ } + t - 66 ^{\circ }$

$114 ^{\circ } = t$

Therefore, $m \overarc {TU} = 114 ^{\circ }$ . Since $\overarc {TU}$ has length $30 \pi$ , it follows that if is the circumference of the circle,

$\frac{C}{360^{\circ }} = \frac{30 \pi }{m \overarc{TU}}$

$\frac{C}{360^{\circ }} = \frac{30 \pi }{114^{\circ }}$

$C= \frac{30 \pi }{114^{\circ }} \cdot 360^{\circ }$

$C = 94\frac{14}{19} \pi$

Divide the circumference by $2 \pi$ to obtain the radius:

$r = \frac{C}{2 \pi} = \frac{94 \frac{14}{19}\pi }{2 \pi} = 47 \frac{7}{19}$ .

This makes 47 the correct choice.

Report an Error

Example Question #31 : Quadratic Equations

Find the roots of the following equation:

$3x^2+7x+2{}$

Possible Answers:

0,1

$-\frac{1}{3},-2$

$\frac{1}{3},2$

$\frac{1}{3},-2$

$-\frac{1}{3},2$

Correct answer:

$-\frac{1}{3},-2$

Explanation:

The equation that is given can be factor into:

(3x+1)(x+2)

The roots is the locations where this equation equals zero as seen below:

(3x+1)(x+2)=0

This occurs when the value in either parenthesis equals zero.

$(3x+1)=0 \and\ (x+2)=0$

Solving for the first expression:

3x=-1

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

Solving for the second root:

x=-2

Therefore the roots are:

$-\frac{1}{3},-2$

Report an Error

Example Question #1 : How To Find The Solution To An Inequality With Division

If $2\leq n \leq12$ and $9\leq p \leq10$ , which of the following gives the set of possible values of $\frac{n}{p}$ ?

Possible Answers:

$\frac{2}{9} \leq \frac{n}{p} \leq \frac{6}{5}$

$0 \leq \frac{n}{p} \leq \frac{1}{5}$

$\frac{1}{5}\leq \frac{n}{p} \leq \frac{4}{3}$

$\frac{2}{9} \leq \frac{n}{p} \leq \frac{5}{6}$

$\frac{1}{5} \leq \frac{n}{p} \leq \frac{6}{5}$

Correct answer:

$\frac{1}{5}\leq \frac{n}{p} \leq \frac{4}{3}$

Explanation:

To get the lowest value, you need the lowest numerator and the highest denominator. That would be $\frac{2}{10}$ or reduced to be $\frac{1}{5}$ . For the highest value, you need the highest numerator and the lowest denominator. That would be $\frac{12}{9}$ or $\frac{4}{3}$ .

Report an Error

Example Question #302 : New Sat

Screen shot 2016 02 12 at 11.14.52 am

What is the interpretation of the y-intercept?

Possible Answers:

$30\%$ of people weren't accepted into College.

$45\%$ of people weren't accepted into College.

The model indicates that approximately $30\%$ of people weren't accepted into College in 1940 .

The model indicates that approximately $45\%$ of people weren't accepted into College in 1940 .

The model indicates that approximately $45\%$ of people weren't accepted into College in 1980 .

Correct answer:

The model indicates that approximately $45\%$ of people weren't accepted into College in 1940 .

Explanation:

They y-intercept is at x=0 . So at x=0 , is about . What this means is at the year 1940 , the Denial Rate of Getting into College was $45\%$ . So the correct answer would be, "the model indicates that approximately $45\%$ of people weren't accepted into College in 1940 ."

Report an Error

Example Question #303 : New Sat

Write the following quadratic equation into vertex form.

y=x^2-5x+6

Possible Answers:

y=(x-2)^2

y=(x+2.5)^2

y=(x-2.5)^2+0.25

y=(x-2.5)^2-0.25

y=(x-2.5)^2

Correct answer:

y=(x-2.5)^2-0.25

Explanation:

y=x^2-5x+6

First we group terms

y=x^2-5x+6=(x^2-5x)+6

Now we want to have a perfect square, so we add $\left(\frac{b}{2}\right)^2$ , and we subtract $\left(\frac{b}{2}\right)^2$ , so now it looks like

$\left(x^2-5x+\left(\frac{-5}{2}\right)^2\right)-\left(\frac{-5}{2}\right)^2+6$

(x^2-5x+6.25)-6.25+6

Simplify to get

y=(x-2.5)^2-0.25

Report an Error

Example Question #71 : Arithmetic Mean

If is the average (arithmetic mean) of and , is the average of and , and is the average of and , what is the average of , , and in terms of ?

Possible Answers:

$\frac{2}{3}r+8$

$\frac{2}{3}r$

$\frac{3}{2}r$

$\frac{3}{2}r+8$

Correct answer:

$\frac{3}{2}r+8$

Explanation:

First Step is to write each mean equation out.

$x=\frac{r+11}{2}$

$y=\frac{3r+19}{2}$

$z=\frac{5r+20}{2}$

$x+y+z=\frac{r+11+3r+19+5r+20}{6}$

$x+y+z=\frac{9r+40}{6}=\frac{3}{2}r+8$

Report an Error

Example Question #1 : How To Use The Quadratic Function

Find all the solutions of where x^3+1 crosses the line x+1 .

Possible Answers:

No Real Solutions

x=0

x=-1

x=0

x=1

x=-1

x=1

x=-1

Correct answer:

x=0

x=1

x=-1

Explanation:

In order to find all the solutions, we need to set the equations equal to each other.

x^3+1=x+1

Now subtract and from each side.

x^3-x+1-1=0

x^3-x=0

Factor the left hand side to get

x(x^2-1)=0

Factor the quadratic function inside the parenthesis to get

x(x-1)(x+1)=0

The solutions to this equation are

x=0

$x-1=0\rightarrow x=1$

$x+1=0\rightarrow x=-1$

Report an Error

Example Question #301 : Psat Mathematics

Jessica wishes to fill up a cylinder with water at a rate of gallons per minute. The volume of the cylinder is gallons. The hole at the bottom of the cylinder leaks out 0.5 gallons per minute. If there are gallons in the cylinder when Jessica starts filling it, how long does it take to fill?

Possible Answers:

$3\: \text{min}$

$5\: \text{min}$

$11\: \text{min}$

$6\: \text{min}$

$8\: \text{min}$

Correct answer:

$8\: \text{min}$

Explanation:

Jessica needs to fill up gallons at the effective rate of $1.5\:\text{gal/min}$ . $12\: \text{gal}$ divided by $1.5\: \text{gal/min}$ is equal to $8 \:\text{min}$ . Notice how the units work out.

Report an Error

Example Question #304 : New Sat

Julie has coins, all dimes and quarters. The total value of all her coins is $\$7.25$ . How many dimes and quarters does Julie have?

Possible Answers:

quarters and dimes

Correct answer:

quarters and dimes

Explanation:

Let be the number of dimes Julie has and be the numbers of quarters she has. The number of dimes and the number of quarters add up to coins. The value of all quarters and dimes is $\$7.25$ . We can then write the following system of equations:

x+y=35

0.1x+0.25y=7.25

To use substitution to solve the problem, begin by rearranging the first equation so that is by itself on one side of the equals sign:

x=35-y

Then, we can replace in the second equation with 35-y :

0.1(35-y)+0.25y=7.25

Distribute the 0.1 :

3.5-0.1y+0.25y=7.25

Subtract 3.5 from each side of the equation:

0.15y=3.75

Divide each side of the equation by 0.15 :

y=25

Now, we can insert our value for into the first equation and solve for :

x=35-y=35-25=10

Julie has quarters and dimes.

Report an Error

Example Question #305 : New Sat

If Sandy is running at a pace of $\frac{12\: \text{meters}}{\text{sec}}$ , find how fast sandy is running in $\frac{\text{meters}}{\text{year}}$ .

Possible Answers:

$\frac{3784320\:\text{meters}}{\text{year}}$

$\frac{12\:\text{meters}}{\text{year}}$

$\frac{37843\:\text{meters}}{\text{year}}$

$\frac{2000\:\text{meters}}{\text{year}}$

$\frac{378432000\:\text{meters}}{\text{year}}$

Correct answer:

$\frac{378432000\:\text{meters}}{\text{year}}$

Explanation:

To convert into $\frac{\text{meters}}{\text{year}}$ , we will do the following conversions

$\frac{12\: \text{meters}}{\text{sec}}\cdot\frac{60\:\text{sec}}{\text{min}}\cdot\frac{60\:\text{min}}{\text{hour}}\cdot\frac{24\:\text{hour}}{\text{day}}\cdot\frac{365\:\text{days}}{\text{year}}=\frac{378432000\:\text{meters}}{\text{year}}$

Report an Error

View Tutors

Haazim
Certified Tutor

Howard University, Bachelor in Arts, English.

View Tutors

Alice
Certified Tutor

Bridgewater College, Bachelor in Arts, English. Longwood University, Certificate, Teacher Education, Multiple Levels.

View Tutors

Michele
Certified Tutor

University of Rome, Professional (JD, MD, DMD, etc), Law. Saint John's University -NY, Master of Science, Marketing.

All New SAT Writing and Language Resources

3 Diagnostic Tests 39 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Los Angeles, Spanish Tutors in New York City, French Tutors in New York City, Biology Tutors in Denver, SSAT Tutors in Atlanta, GMAT Tutors in San Francisco-Bay Area, Calculus Tutors in Boston, SAT Tutors in Miami, Statistics Tutors in Chicago, Statistics Tutors in New York City

Popular Courses & Classes

SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Miami, MCAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Atlanta, GMAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Chicago, SSAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Seattle, ACT Courses & Classes in Miami

Popular Test Prep

GMAT Test Prep in Miami, GMAT Test Prep in Dallas Fort Worth, SAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Atlanta, GRE Test Prep in Houston, SAT Test Prep in Atlanta, SAT Test Prep in Boston, ACT Test Prep in Dallas Fort Worth, LSAT Test Prep in Phoenix, SSAT Test Prep in Washington DC

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

New SAT Writing and Language : New SAT

Study concepts, example questions & explanations for New SAT Writing and Language

All New SAT Writing and Language Resources

Example Questions

Example Question #301 : New Sat

Example Question #31 : Quadratic Equations

Example Question #1 : How To Find The Solution To An Inequality With Division

Example Question #302 : New Sat

Example Question #303 : New Sat

Example Question #71 : Arithmetic Mean

Example Question #1 : How To Use The Quadratic Function

Example Question #301 : Psat Mathematics

Example Question #304 : New Sat

Example Question #305 : New Sat

All New SAT Writing and Language Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: