Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : Expressions

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 #34 : Evaluating And Simplifying Expressions

If $\dpi{100} \small z-3=n$ , then $\dpi{100} \small 2z=$ ?

Possible Answers:

$\dpi{100} \small 2n+6$

$\dpi{100} \small n+6$

$\dpi{100} \small n$

$\dpi{100} \small 3n+6$

$\dpi{100} \small n+3$

Correct answer:

$\dpi{100} \small 2n+6$

Explanation:

Begin by rearranging the equation to solve for z:

$\dpi{100} \small z=n+3$

This means that $\dpi{100} \small 2z=2\left ( n+3 \right )$ , which can be rewritten as $\dpi{100} \small 2n+6$ .

Report an Error

Example Question #2518 : Sat Mathematics

If 5x-4 = 21 , what is the value of 3x + 1 ?

Possible Answers:

Correct answer:

Explanation:

First, solve the equation 5x-4 = 21 to find .

If 5x-4 = 21 , then must equal .

5x=21+4

5x=25

x=5

Then, plug the value for into the second equation, 3x+1 .

3(5)+1 = 16 .

Report an Error

Example Question #51 : Expressions

3x = 4w

5y = 7x

9z = 8y

Which of the following is a correct statement?

Possible Answers:

135z = 224 w

15z= 14w

189 z= 160w

160z= 189w

224 z = 135 w

Correct answer:

135z = 224 w

Explanation:

9z = 8y

$\frac{9z }{9}= \frac{8y}{9}$

$z= \frac{8}{9}y$

Similarly, $y = \frac{7}{5}x$ and $x= \frac{4}{3} w$ .

Using some substitution:

$z= \frac{8}{9}y = \frac{8}{9} \cdot \frac{7}{5}x = \frac{8}{9} \cdot \frac{7}{5} \cdot \frac{4}{3} w = \frac{8 \cdot 7 \cdot 4}{9 \cdot 5 \cdot 3} \cdot w = \frac{224}{135}w$

Multiply:

$z= \frac{224}{135}w$

$135 \cdot z =135 \cdot \frac{224}{135}w$

135z = 224 w

Report an Error

Example Question #743 : Algebra

$3^{3}+7\cdot5=?$

Possible Answers:

142

170

162

Correct answer:

Explanation:

The purpose of this question is to practice using the correct order of operations, which is the proper way to simplify this expression. Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction) the exponent is treated first,

3^3=27

then the multiplication,

$7\cdot 5=35$

and the addition operation is handled last.

Executing the exponent simplifies the expression to

$27+7\cdot5$ ,

then executing the multiplication simplifies the expression to

27+35 ,

which adds together to be .

Report an Error

Example Question #2521 : Sat Mathematics

A plane takes off from Airport A. It travels due north at 400 mi/hr for 2.5 hours, then it turns and travels due east at 430 mi/hr for 3 hours and lands at Airport B. How far is Airport B from Airport A? Round to the nearest mile, assume a straight line path.

Possible Answers:

$1660\ mi$

$2290\ mi$

$830\ mi$

$1632\ mi$

$1631\ mi$

Correct answer:

$1632\ mi$

Explanation:

The purpose of this question is to utilize the method of drawing a triangle to match the situation. Multiply the velocity by the time to find the distance traveled.

So,

$400\cdot \frac{5}{2}=1000$ mi for the first part of the trip and $430\cdot3=1290$ mi for the second part of the trip.

This forms a triangle with a vertical side of 1000 mi and a horizontal side of 1290 mi.

The side which we need to find is the hypotenuse, or the distance between the two airports. This is done by using the Pythagorean Theorem ( $A^{2}+B^{2}=C^{2}$ ), which means that squaring the dimensions of both the vertical and horizontal sides, adding them together, and then taking the square root of that yields the length of the hypotenuse.

$c=\sqrt{1000^2+1290^2}$

$c=\sqrt{2664100}\approx 1632.2$

This method leaves an answer of 1632.207 mi.

Report an Error

Example Question #52 : Expressions

If a=0 , b=4 , c=-4 , and d=2 , then what is the value of the given expression?

x^a+2^b -c+d

Possible Answers:

x+22

Correct answer:

Explanation:

Substitution in our given values, we get

x^0+2^4 -(-4)+2 .

Simplifying this expression, we get

1+16+4+2=23

Report an Error

Example Question #51 : Expressions

Given: a=3 , b=-2 , c=4 , find the value of a^2-2ab^2+c .

Possible Answers:

Correct answer:

Explanation:

We substitute the values for a, b, and c into the equation:

a^2-2ab^2+c

Given:

a=3 , b=-2 , c=4

the equation becomes,

(3)^2-2(3)(-2)^2+(4)

From here simplify but using order of operations PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):

9-2(3)(4)+4

=9-6(4)+4

=9-24+4

=-15+4

=-11

Report an Error

Example Question #41 : Evaluating Expressions

If a=4b , b=2c , and c=3d , then what is the value of $\frac{d}{b}$ ?

Possible Answers:

$\frac{1}{6}$

$\frac{3}{2}$

None of the given answers.

Correct answer:

$\frac{1}{6}$

Explanation:

If c=3d ,

then

$d=\frac{c}{3}$ .

Therefore,

$\frac{d}{b}=\frac{\frac{c}{3}}{2c}=\frac{c}{3}\cdot\frac{1}{2c}=\frac{c}{6c}=\frac{1}{6}$

Report an Error

Example Question #42 : Evaluating Expressions

High and low

Above is a graph which gives the high and low temperatures, in degrees Fahrenheit, over a one week period for Jefferson City. Temperature given in degrees Fahrenheit can be converted to the Celsius scale using the following formula, where and are the temperature expressed in degrees Celsius and degrees Fahrenheit, respectively:

$C = \frac{5}{9} (F-32)$

In degrees Celsius, what was the lowest temperature of the week shown (nearest whole degree)?

Possible Answers:

$-4^{\circ }C$

$-7^{\circ }C$

$-11^{\circ }C$

$-19^{\circ }C$

$-15^{\circ }C$

Correct answer:

$-11^{\circ }C$

Explanation:

The lowest temperature of the week shown was $13 ^{\circ } F$ , on Wednesday and Thursday. This can be converted to degrees Celsius by setting F= 13 in the given formula and evaluating as follows:

$C = \frac{5}{9} (F-32)$

$C = \frac{5}{9} (13 -32)$

$= \frac{5}{9} (-19)$

$= -10\frac{5}{9}$

To the nearest integer, this is $-11^{\circ }C$ .

Report an Error

Example Question #751 : Algebra

High and low

$C = \frac{5}{9} (F-32)$

On how many days of the week shown did the temperature get below $-10 ^{\circ } C$ ?

Possible Answers:

One

Four

Three

None

Two

Correct answer:

Two

Explanation:

Convert $-10 ^{\circ } C$ to Fahrenheit by substituting for in the given formula, and solving for :

$C = \frac{5}{9} (F-32)$

$-10 = \frac{5}{9} (F-32)$

$\frac{9} {5} \cdot (-10) = \frac{9} {5} \cdot \frac{5}{9} (F-32)$

-18 = F-32

-18 + 32 = F-32 + 32

14 = F

$-10 ^{\circ } C$ is equivalent to $14 ^{\circ } F$ .

Below is the line graph, with a horizontal line drawn at the $14 ^{\circ } F$ point. High and low 3

The low temperature is below $14 ^{\circ } F$ on two different days (Wednesday and Thursday, both $13 ^{\circ } F$ ).

Report an Error

View SAT Mathematics Tutors

Troy
Certified Tutor

Rice University, Bachelor in Arts, Kinesiology.

View SAT Mathematics Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View SAT Mathematics Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

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

GMAT Courses & Classes in Phoenix, MCAT Courses & Classes in Miami, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Miami, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in New York City, LSAT Courses & Classes in Chicago, MCAT Courses & Classes in Denver

Popular Test Prep

ISEE Test Prep in San Diego, SAT Test Prep in Houston, ISEE Test Prep in Washington DC, SSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Atlanta, GRE Test Prep in Miami, GRE Test Prep in San Francisco-Bay Area, GRE Test Prep in Phoenix, GMAT Test Prep in Atlanta, GRE 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 Math : Expressions

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #34 : Evaluating And Simplifying Expressions

Example Question #2518 : Sat Mathematics

Example Question #51 : Expressions

Example Question #743 : Algebra

Example Question #2521 : Sat Mathematics

Example Question #52 : Expressions

Example Question #51 : Expressions

Example Question #41 : Evaluating Expressions

Example Question #42 : Evaluating Expressions

Example Question #751 : Algebra

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: