We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Linear 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

Example Question #161 : How To Solve Two Step Equations

Solve the equation for $\displaystyle x$:

3x-5=13 $\displaystyle 3x-5=13$

Possible Answers:

x=5 $\displaystyle x=5$

x=-6 $\displaystyle x=-6$

x=2.67 $\displaystyle x=2.67$

x=10 $\displaystyle x=10$

x=6 $\displaystyle x=6$

Correct answer:

x=6 $\displaystyle x=6$

Explanation:

Start by adding $\displaystyle 5$ on both sides of the equation to yield:

3x=18 $\displaystyle 3x=18$.

In order to get $\displaystyle x$ by itself, we need to divide both sides of the equation by $\displaystyle 3$.

$\frac{3x}{3}=\frac{18}{3}$ $\displaystyle \frac{3x}{3}=\frac{18}{3}$.

This gives us

x=6 $\displaystyle x=6$

Report an Error

Example Question #170 : How To Solve Two Step Equations

$\displaystyle 4x+7=-29$

Possible Answers:

x=-9 $\displaystyle x=-9$

x=7 $\displaystyle x=7$

x=-5.5 $\displaystyle x=-5.5$

x=9 $\displaystyle x=9$

x=-7 $\displaystyle x=-7$

Correct answer:

x=-9 $\displaystyle x=-9$

Explanation:

First, isolate variables and constants on either side of the equal sign. In this case, subtract $\displaystyle 7$ from both sides. This gives us:

4x=-36 $\displaystyle 4x=-36$.

Now divide both sides by $\displaystyle 4$ to give us:

x=-9 $\displaystyle x=-9$.

Report an Error

Example Question #701 : Algebra 1

Solve for $\displaystyle x: (2x+4) = 64$

Possible Answers:

x = 66 $\displaystyle x = 66$

x = 34 $\displaystyle x = 34$

x = 30 $\displaystyle x = 30$

x = 62 $\displaystyle x = 62$

Correct answer:

x = 30 $\displaystyle x = 30$

Explanation:

$\displaystyle (2x+4) = 64$ State the equation.

$\displaystyle 2x = 60$ Subtract $\displaystyle 4$ from both sides. (Substitution property of equality)

$\displaystyle x = 30$ Divide both sides by $\displaystyle 2$. (Division property of equality)

Report an Error

Example Question #702 : Algebra 1

Solve the equation: $\sqrt{2x} = 6$ $\displaystyle \sqrt{2x} = 6$

Possible Answers:

x = 38 $\displaystyle x = 38$

x = 9 $\displaystyle x = 9$

x = 18 $\displaystyle x = 18$

x = 34 $\displaystyle x = 34$

x = 72 $\displaystyle x = 72$

Correct answer:

x = 18 $\displaystyle x = 18$

Explanation:

$\sqrt{2x} = 6$ $\displaystyle \sqrt{2x} = 6$ State the equation.

2x = 36 $\displaystyle 2x = 36$ Square both sides.

$\displaystyle x = 18$ Divide both sides by $\displaystyle 2$.

Report an Error

Example Question #703 : Algebra 1

Solve the equation: $\displaystyle (x+3)^3 = 27$

Possible Answers:

x = 6 $\displaystyle x = 6$

x = 3 $\displaystyle x = 3$

x = 88 $\displaystyle x = 88$

x= 0 $\displaystyle x= 0$

x = 94 $\displaystyle x = 94$

Correct answer:

x= 0 $\displaystyle x= 0$

Explanation:

$\displaystyle (x+3)^3 = 27$ State the equation.

$\displaystyle x+3 = 3$ Cube root both sides.

$\displaystyle x = 0$ Subtract $\displaystyle 3$ from both sides.

Report an Error

Example Question #704 : Algebra 1

What order of operations would result in solving the equation for $\displaystyle s$?

$\displaystyle (4s+7)^3 = 125$

Possible Answers:

Taking the root, then division, then addition

Cubing, then division, then addition

Multiplication, then taking the root, then subtraction

Division, then taking the root, then subtraction

Taking the root, then subtraction, then division

Correct answer:

Taking the root, then subtraction, then division

Explanation:

$\displaystyle (4s+7)^3 = 125$

$\displaystyle (4s+7) = 5$ Take the root.

$\displaystyle 4s = -2$ Subtract $\displaystyle 7$ from both sides.

$s = -\frac{1}{2}$ $\displaystyle s = -\frac{1}{2}$ Divide both sides by $\displaystyle 4$ and simplify.

Report an Error

Example Question #701 : Linear Equations

What order of operations would be used to solve the equation $\frac{x-3}{3} = 3$ $\displaystyle \frac{x-3}{3} = 3$?

Possible Answers:

Multiplication, then subtraction

Division, then subtraction

Addition, then multiplication

Division, then addition

Multiplication, then addition

Correct answer:

Multiplication, then addition

Explanation:

$\frac{x-3}{3} = 3$ $\displaystyle \frac{x-3}{3} = 3$ State the problem (not an actual step, but useful!)

x-3 = 9 $\displaystyle x-3 = 9$ Multiply both sides by $\displaystyle 3$.

$\displaystyle x = 12$ Add $\displaystyle 3$ to both sides.

Report an Error

Example Question #706 : Algebra 1

What is the least number of operations (not counting simplification of fractions) needed to solve for $\displaystyle z$?

$\displaystyle (3z)^5 = 32z^5$

Possible Answers:

$\displaystyle 1$

$\displaystyle 3$

$\displaystyle 5$

$\displaystyle 2$

$\displaystyle 4$

Correct answer:

$\displaystyle 2$

Explanation:

$\displaystyle (3z)^5 = 32z^5$ State the problem (not a required step, but it helps!)

3z = 2z $\displaystyle 3z = 2z$ Take the fifth root of both sides. (Step 1)

$\displaystyle z = 0$ Subtract $\displaystyle 2z$ from both sides. (Step 2)

Report an Error

Example Question #702 : Algebra 1

Solve: $\frac{10}{x} = 40$ $\displaystyle \frac{10}{x} = 40$

Possible Answers:

$\frac{1}{40}$ $\displaystyle \frac{1}{40}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\displaystyle 40$

400 $\displaystyle 400$

Correct answer:

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Explanation:

To solve, multiply both sides by $\displaystyle x$.

$\frac{10}{x} \cdot x= 40 \cdot x$ $\displaystyle \frac{10}{x} \cdot x= 40 \cdot x$

Simplify the left side by cancelling the $\displaystyle x$ and multiplying the right side.

10=40x $\displaystyle 10=40x$

Divide both sides by $\displaystyle 40$ to isolate $\displaystyle x$.

$\frac{10}{40}=\frac{40x}{40}$ $\displaystyle \frac{10}{40}=\frac{40x}{40}$

$x=\frac{10}{40} = \frac{1}{4}$ $\displaystyle x=\frac{10}{40} = \frac{1}{4}$

The answer is: $\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Report an Error

Example Question #702 : Algebra 1

Solve for $\displaystyle x$.

$\displaystyle 6x+24=48$

Possible Answers:

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 5$

$\displaystyle 7$

$\displaystyle 6$

Correct answer:

$\displaystyle 4$

Explanation:

$\displaystyle 6x+24=48$ Subtract $\displaystyle 24$ on both sides.

6x=24 $\displaystyle 6x=24$ Divide $\displaystyle 6$ on both sides.

x=4 $\displaystyle x=4$

Report an Error

View Algebra Tutors

Jack
Certified Tutor

Indiana Wesleyan University, Bachelors, Special Education K-12. University of Phoenix-Online Campus, Masters, Educational Lea...

View Algebra Tutors

Isabel
Certified Tutor

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

View Algebra Tutors

Daniel
Certified Tutor

Stony Brook University, Bachelors, Biology, General. SUNY College of Optometry, PHD, Optometry.

All Algebra 1 Resources

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

Popular Subjects

SSAT Tutors in Miami, Physics Tutors in New York City, Biology Tutors in Chicago, SSAT Tutors in Washington DC, GRE Tutors in Boston, Spanish Tutors in Denver, ACT Tutors in Washington DC, Spanish Tutors in Houston, English Tutors in Philadelphia, Spanish Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in Boston, SSAT Courses & Classes in Phoenix, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Boston, Spanish Courses & Classes in San Diego, GRE Courses & Classes in Chicago, ISEE Courses & Classes in Houston, ISEE Courses & Classes in New York City, GMAT Courses & Classes in New York City, SAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in New York City, LSAT Test Prep in Phoenix, MCAT Test Prep in Philadelphia, ISEE Test Prep in Phoenix, LSAT Test Prep in San Diego, MCAT Test Prep in Washington DC, GMAT Test Prep in New York City, GMAT Test Prep in San Diego, SSAT Test Prep in Philadelphia, GRE 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 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #161 : How To Solve Two Step Equations

Example Question #170 : How To Solve Two Step Equations

Example Question #701 : Algebra 1

Example Question #702 : Algebra 1

Example Question #703 : Algebra 1

Example Question #704 : Algebra 1

Example Question #701 : Linear Equations

Example Question #706 : Algebra 1

Example Question #702 : Algebra 1

Example Question #702 : Algebra 1

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: