We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Arithmetic

Evaluate (√4 + √4)²

Possible Answers:

Correct answer:

Explanation:

The square root of 4 is 2. 2 + 2 = 4. Four squared is 16.

Report an Error

Example Question #11 : Order Of Operations

(11)(4 – 3)²– (2²+ 6) = ?

Possible Answers:

–53

111

Correct answer:

Explanation:

The answer is 1.

The correct order of operations is parenthesis, exponents, multiplication and division, then addition and subraction.

(11) * (4 – 3)²– (2²+ 6)

(11) * (1)²– (4 + 6)

(11) * (1) – (10)

(11) – (10) = 1

Report an Error

Example Question #13 : Arithmetic

If (x – 7)²= 64, what is x?

Possible Answers:

–15

–1

Correct answer:

Explanation:

Solving for x yields 15.

√64 = 8, so we want x – 7 = 8; add 7 to both sides of the equation, so that x = 15

Report an Error

Example Question #14 : Arithmetic

7 more than a number squared is 71. What is the number?

Possible Answers:

Correct answer:

Explanation:

Subtracting the 7 yields 64, and the square root of 64 is equal to 8.

Report an Error

Example Question #11 : Arithmetic

Evaluate $\dpi{100} \small 3x^{2}$ if $\dpi{100} \small x=2$ .

Possible Answers:

$\dpi{100} \small 12$

$\dpi{100} \small 0$

$\dpi{100} \small 36$

$\dpi{100} \small 6$

$\dpi{100} \small 2$

Correct answer:

$\dpi{100} \small 12$

Explanation:

$\dpi{100} \small 3(2)^{2} = 3(4)=12$

Report an Error

Example Question #12 : Arithmetic

Consider the function:

$f(x)=2x^3+4x^2+x-15$

What is the value of $f(-2)$ ?

Possible Answers:

–33

It is impossible to square a negative number.

–49

–17

Correct answer:

–17

Explanation:

$f(x)=2x^3+4x^2+x-15$

$f(-2)=2(-2)^3+4(-2)^2+(-2)-15$

$f(-2)=(2\times -8)+(4\times 4)-2-15$

$f(-2)=-16+16-2-15=-17$

Report an Error

Example Question #13 : Arithmetic

Solve:

$\left ( 14-2 \right )\times 6-4\div 2$

Possible Answers:

Correct answer:

Explanation:

To solve the above expression we must follow PEMDAS.

So the parentheses are first. $\dpi{100} \small 14-2 = 12 \times 6=72$ .

Then we need to divide 4 by 2 before subtracting because division comes before subtraction.

$\dpi{100} \small 72-2=70$

Report an Error

Example Question #15 : Order Of Operations

$(3+4+5+6+7)\times \frac{(1+2-3-4-5)}{2}\times \frac{16+4+8+4}{4}=$

Possible Answers:

900

3600

Correct answer:

Explanation:

Order of operations: "PEMDAS”, or "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

$\dpi{100} \small (3+4+5+6+7)\times \frac{(1+2-3-4-5)}{2}\times \frac{(16+4+8+4)}{4}=$

$\dpi{100} \small (25)\times \frac{(-9)}{2}\times \frac{(32)}{4} =$

$\dpi{100} \small 25\times -4.5\times 8 = -900$

Report an Error

Example Question #15 : Order Of Operations

Evaluate x^2+3x^3-y^2+y+7 when x=-3 and y=2 .

Possible Answers:

None of the other answer choices are correct.

Correct answer:

Explanation:

We can evaluate x^2+3x^3-y^2+y+7 when x=-3 and y=2 by plugging in and substituting:

(-3)^2+3(-3)^3-(2)^2+2+7

$9+(3\times -27)-4+2+7$

9-81-4+2+7=-67

Report an Error

Example Question #16 : Order Of Operations

13+5-9

Possible Answers:

Correct answer:

Explanation:

When doing operations of subtraction and addition, there is no priority but we must work from left to right. The sum on the left is and we do the subtraction. The answer is .

Report an Error

View SAT Mathematics Tutors

Paulkey
Certified Tutor

National Chiao Tung University, Bachelors, Computer Science & Information Engineering. University of Maryland Eastern Shore, ...

View SAT Mathematics Tutors

Nicholas
Certified Tutor

Fordham University, Bachelors, Business Administration and Management. Boston University, Master of Arts, Multimedia.

View SAT Mathematics Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors

Popular Courses & Classes

GRE Courses & Classes in Miami, GRE Courses & Classes in Phoenix, LSAT Courses & Classes in Seattle, GMAT Courses & Classes in Seattle, ISEE Courses & Classes in Houston, MCAT Courses & Classes in Denver, LSAT Courses & Classes in Chicago, ACT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

MCAT Test Prep in Los Angeles, ACT Test Prep in Washington DC, SSAT Test Prep in Phoenix, SSAT Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Houston, GMAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Chicago, SAT Test Prep in Chicago, LSAT Test Prep in Chicago

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 Math : Arithmetic

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #11 : Arithmetic

Example Question #11 : Order Of Operations

Example Question #13 : Arithmetic

Example Question #14 : Arithmetic

Example Question #11 : Arithmetic

Example Question #12 : Arithmetic

Example Question #13 : Arithmetic

Example Question #15 : Order Of Operations

Example Question #15 : Order Of Operations

Example Question #16 : Order Of Operations

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: