Linear Programming

Inequalities Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Graphs

You are wealthy property investor and you wish to build a hotel with no more than 20 rooms. Market research has shown that you should have at least 7 single rooms and at least 10 double rooms.

This information is to be shown by shading unwanted regions on a graph. Let x be the number of single rooms and y the number of double rooms.

What inequality describes the region showing at least 7 single rooms?


CorrectWrong

What inequality describes the region showing at least 10 double rooms?


CorrectWrong

What inequality describes the region showing no more than 20 rooms in total?


CorrectWrong

The hotel rooms will cost £80 per single per night and £120 per double per night.

What combination of single and double rooms should be built, so that the nightly income is maximised?

Number of single rooms: CorrectWrong   Number of double rooms CorrectWrong

Check

Related activities

For Whole Class

Straight Line Graphs

Straight Line Graphs

10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator.

The short web address is:

Transum.org/go/?to=straight

Related

Graph Match

Graph Match

Match the equations with the images of the corresponding graphs. Linear, quadratic and more.

The short web address is:

Transum.org/go/?to=graphmatch

Just For Fun

Human Graphs

Human Graphs

Students should be encouraged to stand up and make the shapes of the graphs with their arms.

The short web address is:

Transum.org/go/?to=humangraphs

Suggested

Plotting Graphs

Plotting Graphs

Complete a table of values then plot the corresponding points to create a linear, quadratic or reciprocal graph.

The short web address is:

Transum.org/go/?to=plotting

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Remainder Race

Remainder Race

A brilliant game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number. There are one and two player versions and the rules are inspired by the Royal Game of Ur.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Transum.org is a proud supporter of the kidSAFE Seal Program

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=792

Description of Levels

Close

Close

Inequalities - A drag and drop inequality graph exercise

Level 1 - A question about building a new hotel with single and double rooms

Level 2 - A question about baking cakes with limited ingredients

Level 3 - A taxi company wants to transport the maximum number of passengers

Level 4 - A draft policy for selecting young people to attend the next World Scout Jamboree

Level 5 - A senior student does some jobs for neighbours to earn some pocket money

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Graphs including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help

The Plot button colours in the unwanted region leaving the required region white.

A solid line means the required region does include the points on the line. A dotted line means the required region does not include the points on the line

The video above is from Andrew Chambers.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Close

Close