We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : Algebra

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2798 : Sat Mathematics

If $\small f(x) = 4x^{2}+3x+2$ and $\small g(x) = x+7$ , what is $\small f(g(x))$ ?

Possible Answers:

$\small 4x^{2}+3x+219$

$\small 4x^{2}+17x+72$

$\small 4x^{2}+17x+219$

$\small 4x^{2}+59x+219$

$\small 4x^{2}+3x+72$

Correct answer:

$\small 4x^{2}+59x+219$

Explanation:

$\small 4(x+7)^{2} +3(x+7)+2$

$\small 4(x^{2} + 14x + 49)+ 3x +21 + 2$

$\small 4x^{2}+56x+196+3x+23$

$\small 4x^{2}+59x+219$

Report an Error

Example Question #2799 : Sat Mathematics

If f(6)=7 and f(10)=17 , which of the following could represent f(x) ?

Possible Answers:

1.5x - 2

2.5x - 8

x + 4

3x - 1

2x + 5

Correct answer:

2.5x - 8

Explanation:

The number in the parentheses is what goes into the function.

For the function f(x) = 2.5x - 8 ,

f(6) = 2.5(6) - 8 = 7 and

f(10) = 2.5(10) - 8 = 17

Report an Error

Example Question #2800 : Sat Mathematics

A function F is defined as follows:

for x² > 1, F(x) = 4x² + 2x – 2

for x²< 1, F(x) = 4x² – 2x + 2

What is the value of F(1/2)?

Possible Answers:

$\frac{1}{2}$

$\frac{7}{2}$

Correct answer:

Explanation:

For F(1/2), x²=1/4, which is less than 1, so we use the bottom equation to solve. This gives F(1/2)= 4(1/2)² – 2(1/2) + 2 = 1 – 1 + 2 = 2

Report an Error

Example Question #321 : Algebra

Which of the statements describes the solution set for –7(x + 3) = –7x + 20 ?

Possible Answers:

x = 0

x = –1

There are no solutions.

All real numbers are solutions.

Correct answer:

There are no solutions.

Explanation:

By distribution we obtain –7x – 21 = – 7x + 20. This equation is never possibly true.

Report an Error

Example Question #322 : Algebra

Will just joined a poetry writing group in town that meets once a week. The number of poems Will has written after a certain number of meetings can be represented by the function f(p) = 2p+6 , where represents the number of meetings Will has attended. Using this function, how many poems has Will written after 7 classes?

Possible Answers:

Correct answer:

Explanation:

For this function, simply plug 7 in for and solve:

f(p)=2p+6=2(7)+6=20

Report an Error

Example Question #323 : Algebra

If $f(x)=x^{3} +\frac{4}{x} + \frac{x^{2}}{2}$ what is $f\left ( 4 \right )$

Possible Answers:

Correct answer:

Explanation:

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

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

$f(4)=64 + 1 + 8$

$f(4)=73$

Report an Error

Example Question #61 : Algebraic Functions

If $f(x)=x+\frac{1}{x}$ , find the value of f(4) .

Possible Answers:

$\frac{41}{4}$

$\frac{17}{4}$

Correct answer:

$\frac{17}{4}$

Explanation:

f(4) = 4 + 1/4 = 16/4 + 1/4 = 17/4

Report an Error

Example Question #62 : Algebraic Functions

If f(x) = x + 8 and g(x) = x^2 + x , what is g(f(3)) ?

Possible Answers:

132

100

104

Correct answer:

132

Explanation:

g is a function of f, and f is a function of 3, so you must work inside out.

f(3) = 11

g(f(3)) = g(11) = 121 + 11 = 132

Report an Error

Example Question #101 : Algebraic Functions

Jamie buys a new fish tank. It is 45% full. She adds seven more liters of water, and it is 65% full. What is the capacity of Jamie's new fish tank?

Possible Answers:

None of the other answers are correct.

22 liters

35 liters

48 liters

27 liters

Correct answer:

35 liters

Explanation:

The algebraic expression for x, the capacity of the fishtank is:

$0.45x+7=0.65x$

$0.45x+7-0.45x=0.65x-0.45x$

$0.2x=7$

$0.2x\times\frac{1}{0.2}=7\times\frac{1}{0.2}$

$x=35\hspace{1 mm}L$

The capacity of the fishtank is 35 liters.

Report an Error

Example Question #62 : Algebraic Functions

f(x)=2x+6

g(x)=3x-3

2f(x)-g(x)+2=?

Possible Answers:

x + 17

x + 5

5x + 11

7x + 17

x + 11

Correct answer:

x + 17

Explanation:

When we multiply a function by a constant, we multiply each value in the function by that constant. Thus, 2f(x) = 4x + 12. We then subtract g(x) from that function, making sure to distribute the negative sign throughout the function. Subtracting g(x) from 4x + 12 gives us 4x + 12 - (3x - 3) = 4x + 12 - 3x + 3 = x + 15. We then add 2 to x + 15, giving us our answer of x + 17.

Report an Error

View PSAT Mathematics Tutors

Kaitlyn
Certified Tutor

Fairfield University, Bachelor of Science, Biology, General. NUI Galway Ireland, Master of Science, Neuroscience.

View PSAT Mathematics Tutors

Tobi
Certified Tutor

Northwestern University, Bachelor of Science, Molecular Biology.

View PSAT Mathematics Tutors

Isabel
Certified Tutor

Rose-Hulman Institute of Technology, Bachelor of Science, Biomedical Engineering.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Seattle, ISEE Tutors in Denver, Statistics Tutors in San Diego, Computer Science Tutors in Washington DC, ISEE Tutors in New York City, ACT Tutors in Philadelphia, GMAT Tutors in Denver, SSAT Tutors in Los Angeles, Math Tutors in New York City, SSAT Tutors in Dallas Fort Worth

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Seattle, Spanish Courses & Classes in Miami, GRE Courses & Classes in San Diego, MCAT Courses & Classes in San Diego, SAT Courses & Classes in Denver, MCAT Courses & Classes in Miami, ACT Courses & Classes in Philadelphia, SAT Courses & Classes in San Diego, MCAT Courses & Classes in Philadelphia

Popular Test Prep

ACT Test Prep in New York City, GRE Test Prep in Seattle, LSAT Test Prep in Phoenix, ISEE Test Prep in Miami, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Miami, ISEE Test Prep in San Diego, SAT Test Prep in Houston, ACT Test Prep in Los Angeles, MCAT 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

PSAT Math : Algebra

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #2798 : Sat Mathematics

Example Question #2799 : Sat Mathematics

Example Question #2800 : Sat Mathematics

Example Question #321 : Algebra

Example Question #322 : Algebra

Example Question #323 : Algebra

Example Question #61 : Algebraic Functions

Example Question #62 : Algebraic Functions

Example Question #101 : Algebraic Functions

Example Question #62 : Algebraic Functions

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: