Call Now to Set Up Tutoring:

(888) 888-0446

New SAT Math - No Calculator : New SAT

Study concepts, example questions & explanations for New SAT Math - No Calculator

Create An Account

All New SAT Math - No Calculator Resources

3 Diagnostic Tests 1 Practice Test Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #193 : Equations / Inequalities

Solve the following inequality for $\uptext{x}$ , round your answer to the nearest tenth.

$\sqrt{x + 19} > x + 1$

Possible Answers:

x = 3.8

3.8 < x < -4.8

-4.8 < x < 3.8

3.8 < x

$-4.8 \leq x$

Correct answer:

-4.8 < x < 3.8

Explanation:

The first step is to square each side of the inequality.

$\left( \sqrt{x + 19} \right)^2> \left( x + 1 \right)^2$

Now simplify each side.

$x + 19 > x^{2} + 2 x + 1$

Now subtract the left side of the inequality to make it zero, so that we can use the quadratic formula.

$x + 19 -\left( x + 19 \right)> x^{2} + 2 x + 1 -\left( x + 19 \right)$

$0 > x^{2} + x - 18$

Now we can use the quadratic formula.

Recall the quadratic formula.

$\frac{ -b \pm \sqrt{ b ^2 -4 \cdot a \cdot c }}{ 2 \cdot a }$

Where $\uptext{a}$ , $\uptext{b}$ , and $\uptext{c}$ , correspond to coefficients in the quadratic equation.

$a x^{2} + b x + c = 0$

In this case a = 1 , b = 1 , and c = -18 .

Now plug these values into the quadratic equation, and we get.

x = 3.8

x = -4.8

Now since we are dealing with an inequality, we put the least value on the left side, and the greatest value on the right. It will look like the following.

-4.8 < x < 3.8

Report an Error

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given and find A-B .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

-3x^2+3

3x^2-3

3x^2+3

-5x^2+3

-3x^2-3

Correct answer:

-3x^2+3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

A-B= (x^2+2)-(4x^2-1)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign through to all terms in the second polynomial.

$A-B={\color{Red} x^2}{\color{Blue} +2}{\color{Red} -4x^2}{\color{Blue} --1}$

$\\x^2-4x^2=-3x^2 \\2-(-1)=3$

Therefore, the sum of these polynomials is,

-3x^2+3

Report an Error

Example Question #72 : High School: Algebra

Given and find A+B .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

5x^2+3

3x^2-1

3x^2+1

5x^2-1

5x^2+1

Correct answer:

5x^2+1

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

A+B= (x^2+2)+(4x^2-1)

The like terms in these polynomials are the squared variable and the constant terms.

$A+B={\color{Red} x^2}{\color{Blue} +2}{\color{Red} +4x^2}{\color{Blue} -1}$

$\\x^2+4x^2=5x^2 \\2+(-1)=1$

Therefore, the sum of these polynomials is,

5x^2+1

Report an Error

Example Question #131 : New Sat Math Calculator

Given and find B-A .

$\\A=x^2+2 \\B=4x^2-1$

Possible Answers:

3x^2+3

-3x^2+3

-3x^2-3

3x^2-3

5x^2-3

Correct answer:

3x^2-3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=x^2+2 \\B=4x^2-1$

B-A= (4x^2-1)-(x^2+2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign through to all terms in the second polynomial.

$B-A={\color{Red} 4x^2}{\color{Blue} -1}{\color{Red} -x^2}{\color{Blue} -2}$

$\\4x^2-x^2=3x^2 \\-1-2=-3$

Therefore, the sum of these polynomials is,

3x^2-3

Report an Error

Example Question #1 : Working With Complex Polynomials

Given and find A-B .

$\\A=3x^3+x+2 \\B=4x^3-2x-1$

Possible Answers:

-x^3-3x-3

-x^3+3x+3

-x^3-3x+3

x^3+3x+3

x^3+3x-3

Correct answer:

-x^3+3x+3

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=3x^3+x+2 \\B=4x^3-2x-1$

A-B= (3x^3+x+2)-(4x^3-2x-1)

The like terms in these polynomials are the squared variable, the single variable, and the constant terms.

Remember to distribute the negative sign to all terms within the parentheses.

$A-B={\color{Red} 3x^3}{\color{Blue} +x}+2{\color{Red} -4x^3}{\color{Blue} +2x}+1$

$\\3x^3-4x^3=-x^3 \\x+2x=3x \\2+1=3$

Therefore, the sum of these polynomials is,

-x^3+3x+3

Report an Error

Example Question #132 : New Sat Math Calculator

Given and find A+B .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

6x^2-4

6x^2+2

6x^2

-6x^2

6x^2+4

Correct answer:

6x^2

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

A+B= (2x^2+2)+(4x^2-2)

The like terms in these polynomials are the squared variable and the constant terms.

$A+B={\color{Red} 2x^2}{\color{Blue} +2}{\color{Red} +4x^2}{\color{Blue} -2}$

$\\2x^2+4x^2=6x^2 \\2+(-2)=0$

Therefore, the sum of these polynomials is,

6x^2

Report an Error

Example Question #1 : Polynomials And Quadratics

Given and find A-B .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

2x^2+4

-2x^2+4

2x^2-4

-2x^2+2

-2x^2-4

Correct answer:

-2x^2+4

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

A-B= (2x^2+2)-(4x^2-2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign to all terms in the second polynomial.

$A-B={\color{Red} 2x^2}{\color{Blue} +2}{\color{Red} -4x^2}{\color{Blue} +2}$

$\\2x^2-4x^2=-2x^2 \\2+2=4$

Therefore, the sum of these polynomials is,

-2x^2+4

Report an Error

Example Question #77 : High School: Algebra

Given and find B-A .

$\\A=2x^2+2 \\B=4x^2-2$

Possible Answers:

-2x^2-4

-2x^2+4

2x^2-4

2x^2+4

2x^2

Correct answer:

2x^2-4

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

$\\A=2x^2+2 \\B=4x^2-2$

B-A= (4x^2-2)-(2x^2+2)

The like terms in these polynomials are the squared variable and the constant terms.

Remember to distribute the negative sign to all terms in the second polynomial.

$B-A= {\color{Red} 4x^2}-2{\color{Red} -2x^2}-2$

$\\4x^2-2x^2=2x^2 \\-2-2=-4$

Therefore, the sum of these polynomials is,

2x^2-4

Report an Error

Example Question #78 : High School: Algebra

Given and find A+B .

$\\A=x^2 \\B=4x^2-1$

Possible Answers:

-5x^2+1

5x^2+1

5x^2-1

5x^2

-5x^2-1

Correct answer:

5x^2-1

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

$\\A=x^2 \\B=4x^2-1$

A+B= (x^2)+(4x^2-1)

The like terms in these polynomials are the squared variable.

$A+B={\color{Red} x^2}{\color{Red} +4x^2}-1$

$\\x^2+4x^2=5x^2 \\0+(-1)=-1$

Therefore, the sum of these polynomials is,

5x^2-1

Report an Error

Example Question #1 : Working With Complex Polynomials

Given and find .

$\\A=x^2+1 \\B=4x^2-1$

Possible Answers:

4x^4+3x^2+1

4x^4-3x^2-1

-4x^4+3x^2-1

4x^4+3x^2-1

-4x^4-3x^2-1

Correct answer:

4x^4+3x^2-1

Explanation:

To find the product of two polynomials first set up the operation.

$\\A=x^2+1 \\B=4x^2-1$

AB=(x^2+1)(4x^2-1)

Now, multiply each term from the first polynomial with each term in the second polynomial.

Remember the rules of exponents. When like base variables are multiplied together their exponents are added together.

$\\x^2\cdot 4x^2=4x^{2+2}=4x^4 \\x^2\cdot -1=-x^2 \\1\cdot 4x^2=4x^2 \\1\cdot -1=-1$

Therefore, the product of these polynomials is,

4x^4-x^2+4x^2-1

Combine like terms to arrive at the final answer.

4x^4+3x^2-1

Report an Error

View SAT Math Tutors

Ping
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science. University of North Texas, Master of Arts, Education.

View SAT Math Tutors

Darian
Certified Tutor

University of North Texas, Current Undergrad Student, English.

View SAT Math Tutors

Justin
Certified Tutor

Vanderbilt University, Bachelor, Computer Science, Mathematics, & Philosophy.

All New SAT Math - No Calculator Resources

3 Diagnostic Tests 1 Practice Test Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in New York City, Reading Tutors in Denver, Math Tutors in Chicago, Reading Tutors in Los Angeles, SSAT Tutors in Seattle, Spanish Tutors in Seattle, GRE Tutors in Chicago, ISEE Tutors in Philadelphia, LSAT Tutors in Philadelphia, SSAT Tutors in Miami

Popular Courses & Classes

ISEE Courses & Classes in Phoenix, LSAT Courses & Classes in San Diego, GRE Courses & Classes in Los Angeles, GMAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Atlanta, Spanish Courses & Classes in Boston, ACT Courses & Classes in Washington DC, LSAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Houston, ACT Courses & Classes in Atlanta

Popular Test Prep

ACT Test Prep in Atlanta, LSAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, ISEE Test Prep in Dallas Fort Worth, SAT Test Prep in Boston, ACT Test Prep in Washington DC, ACT Test Prep in Denver, GMAT Test Prep in Washington DC, MCAT Test Prep in Atlanta, LSAT Test Prep in Houston

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 Math - No Calculator : New SAT

Study concepts, example questions & explanations for New SAT Math - No Calculator

All New SAT Math - No Calculator Resources

Example Questions

Example Question #193 : Equations / Inequalities

Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Example Question #72 : High School: Algebra

Example Question #131 : New Sat Math Calculator

Example Question #1 : Working With Complex Polynomials

Example Question #132 : New Sat Math Calculator

Example Question #1 : Polynomials And Quadratics

Example Question #77 : High School: Algebra

Example Question #78 : High School: Algebra

Example Question #1 : Working With Complex Polynomials

All New SAT Math - No Calculator Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: