Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #13 : Solving Inequalities

Inequalties

Find the solution space for the following inequality:

5-2x > -13

Possible Answers:

x < 9

x < 4

x > 9

x > 4

Correct answer:

x < 9

Explanation:

When solving an inequality, first isolate the variable:

(subtract 5 from both sides)

5 -2x > -13

___________________

-2x > -18

(divide both sides by -2)

$\frac{\-2x}{-2} > \frac{-18}{-2}$

(remember when dividing both sides by a negative, you must flip the inequality sign because the sign on both sides changed)

x<9 is the answer!

Important note:

The negative two cancels on the right side and the $\frac{-18}{-2}=9$ on the left side. Since both sides went from negative to positive values the inequality sign flips.

Report an Error

Example Question #51 : Inequalities

Solve the following inequality:

$-5x+4\geq-11$

Possible Answers:

$x\leq3$

$x\geq4$

$x\geq5$

$x\leq4$

$x\geq3$

Correct answer:

$x\leq3$

Explanation:

Isolate all the terms with x on one side and all other terms on the other side. Our first step is to subtract four from each side.

We the get

$-5x\geq-15$ .

We now need to divide both sides by -5.

However, whenever you multiply or divide by a negative number, you flip the direction of the inequality.

$x\leq3$

Report an Error

Example Question #15 : Solving Inequalities

Solve the following inequality:

-4(x-1)-6>14

Possible Answers:

x>-4

$x>\frac{5}{2}$

x<-8

x<-1

x<-4

Correct answer:

x<-4

Explanation:

To solve the inequality we want to isolate the x variable on one side and all other constants on the other side.

The first step is two add six to both sides.

-4(x-1)-6>14

-4(x-1)>20

Next, divide by negative four and remember when dividing by a negative you must flip the inequality sign.

(x-1)<-5

x<-4

Report an Error

Example Question #2091 : Algebra Ii

$\left | 4x-1 \right |\geq 15$

Possible Answers:

$x\geq 4 , x\leq \frac{7}{2}$

$x\geq 4 , x\leq -\frac{7}{2}$

$x\geq -4 , x\leq -\frac{7}{2}$

$x\leq -\frac{7}{2}$

$x\geq 4$

Correct answer:

$x\geq 4 , x\leq -\frac{7}{2}$

Explanation:

To solve absolute value inequalities, you have to set up two different inequalities: $4x-1\geq 15$ and $4x-1\leq -15$ . Then, solve each one separately as normal. The first one yields a solution set of $x\geq 4$ and the second one yields $x\leq -\frac{7}{2}$ . Those are your two answers.

Report an Error

Example Question #51 : Inequalities

Solve the inequality.

18-3x<2

Possible Answers:

$x>\frac{16}{3}$

$x<\frac{16}{3}$

$x<\frac{-16}{3}$

$x>\frac{-16}{3}$

Correct answer:

$x>\frac{16}{3}$

Explanation:

18-3x<2

-3x<-16

$x>\frac{16}{3}$

Report an Error

Example Question #2091 : Algebra Ii

Solve the inequality.

-6v+8>-14v-28

Possible Answers:

v>-4.5

v<4.5

v>6

v<-6

Correct answer:

v>-4.5

Explanation:

-6v+8>-14v-28

8v>-36

Divide both sides by

v>-4.5

Report an Error

Example Question #22 : Solving Inequalities

Solve the following inequality for .

$3y+6\leq-2y+31$

Possible Answers:

$y\leq-5$

$y\geq5$

$y\leq25$

$y\leq5$

Correct answer:

$y\leq5$

Explanation:

Solve the following inequality for .

$3y+6\leq-2y+31$

Begin by getting like terms on the same side of the inequality sign.

$3y+2y\leq31-6$

Next, combine like terms:

$5y\leq25$

Finally, divide by 5.

$y\leq5$

Report an Error

Example Question #2092 : Algebra Ii

Solve: $-2x-5\geq 23$

Possible Answers:

$x\leq -12$

$x\leq -1$

$x\geq -14$

$x\leq -14$

$x\leq 14$

Correct answer:

$x\leq -14$

Explanation:

To solve this inequality, work as though it were a normal equation. Add five to both sides and then divide by . Remember, when you multiply or divide by a negative number with inequalities, you have to flip the inequality sign. Therefore, your answer is: $x\leq -14$

Report an Error

Example Question #2093 : Algebra Ii

Solve for .

x+3<5

Possible Answers:

x>2

x=2

x<8

x>8

x<2

Correct answer:

x<2

Explanation:

x+3<5 Subtract on both sides.

x<2

Report an Error

Example Question #255 : Basic Single Variable Algebra

Solve for .

x+4<-4

Possible Answers:

x<-8

x<8

x>8

x<0

x>-8

Correct answer:

x<-8

Explanation:

x+4<-4 Subtract on both sides.

x<-8

Report an Error

View Algebra 2 Tutors

Liam
Certified Tutor

Liberty University, Bachelor of Science, Religious Studies. Walden University, Master of Science, Psychology.

View Algebra 2 Tutors

Ataul
Certified Tutor

Temple University, Bachelor of Science, Financial Planning.

View Algebra 2 Tutors

Dr. Derrick
Certified Tutor

Huston-Tillotson University, Bachelor of Science, Mathematics. Grand Canyon University, Master of Arts, Education.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Denver, Chemistry Tutors in Philadelphia, Spanish Tutors in Houston, ACT Tutors in Boston, Statistics Tutors in Seattle, Computer Science Tutors in Atlanta, Calculus Tutors in Denver, Computer Science Tutors in Philadelphia, LSAT Tutors in Washington DC, MCAT Tutors in Miami

Popular Courses & Classes

SAT Courses & Classes in Miami, GMAT Courses & Classes in New York City, GMAT Courses & Classes in Boston, ACT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Phoenix, GMAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Atlanta, Spanish Courses & Classes in Miami, GRE Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in Philadelphia, GMAT Test Prep in Los Angeles, GMAT Test Prep in Dallas Fort Worth, GRE Test Prep in Phoenix, LSAT Test Prep in Seattle, ACT Test Prep in New York City, GRE Test Prep in Denver, GRE Test Prep in Chicago, SAT Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area

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 II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #13 : Solving Inequalities

Example Question #51 : Inequalities

Example Question #15 : Solving Inequalities

Example Question #2091 : Algebra Ii

Example Question #51 : Inequalities

Example Question #2091 : Algebra Ii

Example Question #22 : Solving Inequalities

Example Question #2092 : Algebra Ii

Example Question #2093 : Algebra Ii

Example Question #255 : Basic Single Variable Algebra

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: