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Inequalities - Level 6

Practise solving two and three part inequalities in this self marking exercise.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Exam-Style Description Help

This is level 6. For each inequality can you find the range of values for x which makes the statement true.

x + 1 < 6

Correct Wrong

x + 3 > 8

Correct Wrong

x + 8 < 13

Correct Wrong

x - 16 > 18

Correct Wrong

17 > x + 11

Correct Wrong

23 < x - 16

Correct Wrong

3x + 8 < 14

Correct Wrong

5x - 32 > -2

Correct Wrong

9x - 16 > 17x - 48

Correct Wrong

6x - 13 < 12x - 67

Correct Wrong

Check

This is Inequalities level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 7 Level 8

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.

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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:

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Description of Levels

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Level 1 - Comparing positive integers

Level 2 - Comparing positive and negative decimal numbers

Level 3 - Comparing positive and negative fractions

Level 4 - Comparing metric measures

Level 5 - Matching statements to number line diagrams.

Level 6 - Solving linear inequalities.

Level 7 - Solving linear two part inequalities.

Level 8 - Matching statements to graphs.

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

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.

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Example

3x + 4 < 13

Subtract 4 from both sides

3x < 9

Divide both sides by 3

x < 3

Note that multiplying or dividing both sides of an inequality by a negative value will reverse the inequality sign.

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

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