We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 … 16 17 Next →

Example Question #11 : How To Write Expressions And Equations

Equations of a line can be represented as follows:

(1) ax+by=c (standard form)

(2) y=mx+b (slope-intercept form)

(3) $\left ( y-y_{1} \right ) = m\left ( x-x_{1} \right )$ (point-slope form)

Possible Answers:

none of the above

Correct answer:

Explanation:

The equation of line is

y=3

Hence

rise = 0

and the

slope=0

Report an Error

Example Question #12 : How To Write Expressions And Equations

Find the equation of a line parallel to

y = -3x -3

and passes through $\left ( 2,1 \right )$ .

Possible Answers:

y = -3x +b

y = -3x +7

$y = \frac{1}{3}x + 7$

y = -3x -7

y = 3x + 7

Correct answer:

y = -3x +7

Explanation:

The equation of a line parallel to the given line must be of the form:

y = -3x + b

Since the line passes through $\left ( 2,1 \right )$ ,

we can calculate by replacing with 2 and with 1 which gives us the following

$1 = -3\left ( 2 \right ) + b$

Solving for gives us the following equation

y = -3x + 7

Report an Error

Example Question #13 : How To Write Expressions And Equations

Find the equation of a line perpendicular to

y = -3x -3

and passes through $\left ( 2,1 \right )$

Possible Answers:

$y = \frac{1}{3}x + \frac{1}{3}$

$y = \frac{1}{3}x$

y = -3x + 7

y = 3x + 3

$y = \frac{1}{3}x - 3$

Correct answer:

$y = \frac{1}{3}x + \frac{1}{3}$

Explanation:

The slope of a line perpendicular to

y = -3x - 3

which has a slope of , is the negative reciprocal of .

Hence we get

$y = \frac{1}{3}x + b$

Replacing and with the given point we get

$1 = \frac{1}{3}\left ( 2 \right ) + b$

Solving for we get

$y = \frac{1}{3}x+ \frac{1}{3}$

Report an Error

Example Question #14 : How To Write Expressions And Equations

Find the equation of a line perpendicular to

y = 3

and passes through $\left ( -2, 2 \right )$

Possible Answers:

y = 2

$y = \frac{1}{3}x$

y = 2x

x = -2

x = 2

Correct answer:

x = -2

Explanation:

Any line perpendicular to y = 3 ,

which is a horizontal line, must be a vertical line.

Since it passes through the point $\left ( -2, 2 \right )$ and must be perpendicular to

y = 3

The equation must be

x = -2

Report an Error

Example Question #931 : Algebra 1

Solve by substitution method:

2x - y = 2

x + 2y = -5

Possible Answers:

$\left ( -3, 4 \right )$

$\left ( 4, 3 \right )$

$\left ( -3, -4 \right )$

$\left ( 3, -4 \right )$

$\left ( 3, 4 \right )$

Correct answer:

$\left ( 3, 4 \right )$

Explanation:

From the second equation and by solving for in terms of we get

x = -5 + 2y

Replacing in the first equation with

x = -5 + 2y

we get $2\left ( -5 + 2y \right ) - y = 2$

Solving for one gets y = 4

Replacing with 4 in the above equation:

$-5 + 2\left ( 4 \right )=3$

Hence the solution to the above system of linear equations is $\left ( 3, 4 \right )$ .

Report an Error

Example Question #932 : Algebra 1

Solve the following system of linear equations by the elimination method:

x - 3y = 3

3x + 2y = -2

Possible Answers:

$\left ( 1, -1 \right )$

$\left ( 1, 0 \right )$

$\left ( -1, 0 \right )$

$\left ( 0, 1 \right )$

$\left ( 0, -1 \right )$

Correct answer:

$\left ( 0, -1 \right )$

Explanation:

We would like to eliminate .

Hence we multiply the first equation by which gives us the following equations:

- 3x +9y = -9

3x + 2y = -2

Adding the above two equations eliminates the variable . We are left with:

11y = -11

and so y=1

Replacing with y=-1 in the original equation gives us

$x - 3\left ( -1 \right ) = 3$

solving for gives us

x = 0

Hence the solution is $\left ( 0, -1 \right )$ .

Report an Error

Example Question #11 : How To Write Expressions And Equations

For the following two linear equations determine whether the two lines are __________:

-3x + 2y = -1

6x -4y = 2

(1) parallel

(2) perpendicular

(3) neither

(4) dependent

Possible Answers:

Neither

None of the above

Dependent

Parallel

Perpendicular

Correct answer:

Dependent

Explanation:

These two equations represent the same line and they "cross' at infinitely many points. Therefore these systems are dependent.

Report an Error

Example Question #11 : How To Write Expressions And Equations

$\fn_cm Simplify \; x^{3} + 3x^{2} - 6x + 10 -(x^{2} +x + 13)$

Possible Answers:

23-5x+2x^2+x^3

-3-5x+2x^2 +x^3

$\fn_cm -3-7x+2x^2+x^3$

23-7x+2x^2+x^3

Correct answer:

$\fn_cm -3-7x+2x^2+x^3$

Explanation:

Report an Error

Example Question #12 : How To Write Expressions And Equations

Which of the following sentences translates to the algebraic equation 8 (x-3) = 40 ?

Possible Answers:

The product of eight and a number subtracted from three is equal to forty.

Three subtracted from the product of eight and a number is equal to forty.

Eight multiplied by the difference of a number and three is equal to forty.

Eight multiplied by the difference of three and a number is equal to forty.

The product of three and a number less eight is equal to forty.

Correct answer:

Eight multiplied by the difference of a number and three is equal to forty.

Explanation:

The expression on the left shows eight being multiplied by an expression in parentheses; that expression is the difference of an unknown number and three. The whole right expression is therefore worded as "Eight multiplied by the difference of a number and three"; the equality symbol and the forty round out the answer.

Report an Error

Example Question #13 : How To Write Expressions And Equations

Which of the following sentences translates to the equation $\frac{x-9}{5} = 80$ ?

Possible Answers:

Five subtracted from the quotient of a number and nine is equal to eighty.

Five divided by the difference of a number and nine is equal to eighty.

Nine subtracted from the quotient of a number and five is equal to eighty.

Five divided into the difference of a number and nine is equal to eighty.

Nine divided by the difference of a number and five is equal to eighty.

Correct answer:

Five divided into the difference of a number and nine is equal to eighty.

Explanation:

x-9 can be written as "the difference of a number and nine"; the expression on the left shows that difference being divided by five, or, alternatively stated, "five divided into the difference of a number and nine". "Is equal to eighty " rounds out the sentence.

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 … 16 17 Next →

View Algebra Tutors

Swagatika
Certified Tutor

Regional Institute of Education Bhubaneswar, Bachelor of Economics, Mathematics.

View Algebra Tutors

Ayan
Certified Tutor

Vellore Institute of Technology, Bachelor, Chemical Engineering. University of Calgary, Master's/Graduate, Chemical and Petro...

View Algebra Tutors

Rima
Certified Tutor

Lebanese university , Master's/Graduate, Marketing and Management .

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Boston, LSAT Tutors in Boston, Calculus Tutors in Seattle, English Tutors in Washington DC, French Tutors in Dallas Fort Worth, Algebra Tutors in Houston, MCAT Tutors in Boston, Algebra Tutors in Chicago, Calculus Tutors in Miami, SAT Tutors in Seattle

Popular Courses & Classes

MCAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Seattle, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Philadelphia, ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Houston, GMAT Courses & Classes in Denver, GMAT Courses & Classes in New York City

Popular Test Prep

ISEE Test Prep in Boston, ACT Test Prep in Houston, MCAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Los Angeles, GRE Test Prep in New York City, LSAT Test Prep in Phoenix, MCAT Test Prep in Chicago, ISEE Test Prep in Dallas Fort Worth, ACT Test Prep in Los Angeles, SSAT Test Prep in Philadelphia

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

Algebra 1 : How to write expressions and equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #11 : How To Write Expressions And Equations

Example Question #12 : How To Write Expressions And Equations

Example Question #13 : How To Write Expressions And Equations

Example Question #14 : How To Write Expressions And Equations

Example Question #931 : Algebra 1

Example Question #932 : Algebra 1

Example Question #11 : How To Write Expressions And Equations

Example Question #11 : How To Write Expressions And Equations

Example Question #12 : How To Write Expressions And Equations

Example Question #13 : How To Write Expressions And Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: