Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #8 : Properties And Identities

Which expression is not equal to 0 for all positive values of ?

Possible Answers:

0 (x+1)

-x + x

All four expressions given in the other choices are equal to 0 for all positive values of .

$0^{x}$

$\left (x+1 \right )^{0}$

Correct answer:

$\left (x+1 \right )^{0}$

Explanation:

$\left (x+1 \right )^{0}$ is the correct choice.

0 (x+1) = 0 for all values of , since, by the zero property of multiplication, any number multiplied by 0 yields product 0.

-x + x = 0 for all values of - this is a direct statement of the inverse property of addition.

$0^{x} = 0$ , since 0 raised to any positive power yields a result of 0.

$\left (x+1 \right )^{0} = 1$ , since any nonxero number raised to the power of 0 yields a result of 1.

Report an Error

Example Question #71 : Mathematical Relationships

Solve the proportion: $\frac{2x+3}{2} = \frac{1}{3}$

Possible Answers:

$-\frac{7}{6}$

$\frac{7}{6}$

$-\frac{1}{6}$

Correct answer:

$-\frac{7}{6}$

Explanation:

To solve the proportion, cross multiply the terms.

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

6x+9 = 2

Subtract 9 on both sides.

6x+9 -9= 2-9

6x=-7

Divide by 6 on both sides.

$\frac{6x}{6}=\frac{-7}{6}$

The answer is: $-\frac{7}{6}$

Report an Error

Example Question #2 : Ratios And Proportions

Solve the ratio: $\frac{5}{9} = \frac{x}{6}$

Possible Answers:

$\frac{10}{3}$

$\frac{54}{5}$

$\frac{3}{10}$

$\frac{11}{9}$

$\frac{5}{54}$

Correct answer:

$\frac{10}{3}$

Explanation:

To solve the proportion, cross multiply.

5(6) = 9x

30=9x

Divide by 9 on both sides.

$\frac{30}{9}=\frac{9x}{9}$

Reduce the fractions.

The answer is: $\frac{10}{3}$

Report an Error

Example Question #1 : Ratios And Proportions

Determine the value of : $\frac{2x-2}{8} = \frac{8x-2}{3}$

Possible Answers:

$-\frac{1}{3}$

$-\frac{11}{29}$

$-\frac{5}{4}$

$-\frac{5}{29}$

$\frac{5}{29}$

Correct answer:

$\frac{5}{29}$

Explanation:

Cross multiply the fractions.

3(2x-2) = 8(8x-2)

Simplify both sides.

6x-6 = 64x-16

Subtract on both sides.

6x-6 -(6x)= 64x-16-(6x)

-6 = 58x-16

Add 16 on both sides.

-6+16 = 58x-16+16

10= 58x

Divide by 58 on both sides.

$\frac{10}{58}= \frac{58x}{58}$

Reduce both fractions.

The answer is: $x = \frac{5}{29}$

Report an Error

Example Question #2 : Ratios And Proportions

Solve the proportion: $\frac{x}{3} = \frac{2}{5}$

Possible Answers:

$\frac{6}{5}$

$\frac{15}{2}$

$\frac{5}{2}$

Correct answer:

$\frac{6}{5}$

Explanation:

Cross multiply both sides.

5x = 2(3)

Simplify and solve for x.

5x=6

$\frac{5x}{5}=\frac{6}{5}$

The answer is: $\frac{6}{5}$

Report an Error

Example Question #3 : Ratios And Proportions

Solve the proportion: $\frac{3x}{5} = \frac{1}{3}$

Possible Answers:

$\frac{5}{6}$

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{5}{9}$

Correct answer:

$\frac{5}{9}$

Explanation:

Cross multiply both sides.

3(3x) = 1(5)

9x=5

Divide by 9 on both sides.

$\frac{9x}{9}=\frac{5}{9}$

The answer is: $\frac{5}{9}$

Report an Error

Example Question #4 : Ratios And Proportions

Solve the proportion: $\frac{3x}{4} = \frac{8}{3}$

Possible Answers:

$\frac{2}{9}$

$\frac{9}{2}$

$\frac{1}{2}$

$\frac{32}{9}$

Correct answer:

$\frac{32}{9}$

Explanation:

Cross multiply the two fractions.

3(3x) = 8(4)

9x=32

Divide by nine on both sides.

$\frac{9x}{9}=\frac{32}{9}$

The answer is: $\frac{32}{9}$

Report an Error

Example Question #5 : Ratios And Proportions

Solve the proportion: $\frac{2x}{9} = \frac{7}{3}$

Possible Answers:

$\frac{3}{2}$

$\frac{7}{6}$

$\frac{6}{7}$

$\frac{14}{3}$

$\frac{21}{2}$

Correct answer:

$\frac{21}{2}$

Explanation:

Cross multiply the two fractions.

(2x)(3) = (7)(9)

6x = 63

Divide by six on both sides.

$\frac{6x }{6}= \frac{63}{6}$

The answer is: $\frac{21}{2}$

Report an Error

Example Question #1 : Matrices

Multiply:

$\begin{bmatrix} x&7 \\ y& 3 \end{bmatrix}\begin{bmatrix} 2\\ 7 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix}2 x&14 \\7 y& 21 \end{bmatrix}$

$\begin{bmatrix}2 x&7 \\7 y& 3 \end{bmatrix}$

$\begin{bmatrix} 2x+49\\ 2y+21 \end{bmatrix}$

$\begin{bmatrix}98x\\ 42y\end{bmatrix}$

$\begin{bmatrix} 2x+7y\\ 35 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 2x+49\\ 2y+21 \end{bmatrix}$

Explanation:

The product of a 2 x 2 matrix and a 2 x 1 matrix is a 2 x 1 matrix.

Multiply each row in the first matrix by the column matrix by multiplying elements in corresponding positions, then adding the products, as follows:

$\begin{bmatrix} x&7 \\ y& 3 \end{bmatrix}\begin{bmatrix} 2\\ 7 \end{bmatrix}$

$=\begin{bmatrix} x \cdot 2+ 7 \cdot 7 \\ y \cdot 2 + 3 \cdot 7 \end{bmatrix}$ \

$=\begin{bmatrix} 2x + 49 \\ 2 y+ 21 \end{bmatrix}$

Report an Error

Example Question #2 : Matrices

Multiply:

$\begin{bmatrix} x& 5\\ -4& 3 \end{bmatrix}\begin{bmatrix} 6\\ y \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 6x+5y \\ 3y-24 \end{bmatrix}$

$\begin{bmatrix}6 x&30\\ -4y& 3 y\end{bmatrix}$

$\begin{bmatrix}6 x&5\\ -4y& 3 \end{bmatrix}$

$\begin{bmatrix} 6x-4y \\ 3y+30 \end{bmatrix}$

$\begin{bmatrix} 30xy \\ -72y \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 6x+5y \\ 3y-24 \end{bmatrix}$

Explanation:

The product of a 2 x 2 matrix and a 2 x 1 matrix is a 2 x 1 matrix.

Multiply each row in the first matrix by the column matrix by multiplying elements in corresponding positions, then adding the products, as follows:

$\begin{bmatrix} x& 5\\ -4& 3 \end{bmatrix}\begin{bmatrix} 6\\ y \end{bmatrix}$

$= \begin{bmatrix} x \cdot 6 + 5\cdot y \\ -4\cdot 6 + 3 \cdot y \end{bmatrix}$

$= \begin{bmatrix} 6x+5y \\ 3y-24 \end{bmatrix}$

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Shivansh
Certified Tutor

University of British Columbia, Bachelor, Math major and data science minor .

View SAT Subject Test in Mathematics Level 2 Tutors

Shakeel
Certified Tutor

View SAT Subject Test in Mathematics Level 2 Tutors

Rodolfo
Certified Tutor

The University of Texas at San Antonio, Bachelor of Science, Mathematics.

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Seattle, ACT Tutors in Chicago, Biology Tutors in Atlanta, Math Tutors in New York City, Statistics Tutors in Atlanta, GRE Tutors in San Francisco-Bay Area, Spanish Tutors in Seattle, Algebra Tutors in Atlanta, Physics Tutors in Denver, LSAT Tutors in Atlanta

Popular Courses & Classes

ISEE Courses & Classes in San Diego, LSAT Courses & Classes in San Diego, ACT Courses & Classes in Houston, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in Miami, SSAT Courses & Classes in Los Angeles, GRE Courses & Classes in Denver, ACT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Philadelphia, MCAT Courses & Classes in San Diego

Popular Test Prep

SAT Test Prep in Denver, LSAT Test Prep in Boston, GMAT Test Prep in Los Angeles, LSAT Test Prep in Washington DC, ISEE Test Prep in San Diego, ACT Test Prep in Houston, GMAT Test Prep in Atlanta, SSAT Test Prep in Houston, ISEE Test Prep in San Francisco-Bay Area, ACT Test Prep in Atlanta

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 II Math II : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #8 : Properties And Identities

Example Question #71 : Mathematical Relationships

Example Question #2 : Ratios And Proportions

Example Question #1 : Ratios And Proportions

Example Question #2 : Ratios And Proportions

Example Question #3 : Ratios And Proportions

Example Question #4 : Ratios And Proportions

Example Question #5 : Ratios And Proportions

Example Question #1 : Matrices

Example Question #2 : Matrices

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: