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Substitution Sort

Order the algebraic expressions according to their value with the given substitution.
  Menu   Basics Level 1 Level 2 Level 3   Help   More Algebra

Drag the expressions left or right so that the five expressions are in order, largest on the left and smallest on the right, when the given value has been substituted.

1 $$x=0.5$$
\((x-3)^3\)
\(\dfrac{x^2}{10}-\dfrac{x}{4}\)
\(4x-2x^3\)
\(2^x\)
\(\dfrac{2x-4}{x^2+1}\)

☐ ☐ ✓ ✗

2 $$x=5$$
\((x-3)^3\)
\(\dfrac{x^2}{10}-\dfrac{x}{4}\)
\(4x-2x^3\)
\(2^x\)
\(\dfrac{2x-4}{x^2+1}\)

☐ ☐ ✓ ✗

3 $$x=-2$$
\((x-3)^3\)
\(\dfrac{x^2}{10}-\dfrac{x}{4}\)
\(4x-2x^3\)
\(2^x\)
\(\dfrac{2x-4}{x^2+1}\)

☐ ☐ ✓ ✗

4 $$x=-0.5$$
\((x-3)^3\)
\(\dfrac{x^2}{10}-\dfrac{x}{4}\)
\(4x-2x^3\)
\(2^x\)
\(\dfrac{2x-4}{x^2+1}\)

☐ ☐ ✓ ✗

5 $$x=\pi$$
\((x-3)^3\)
\(\dfrac{x^2}{10}-\dfrac{x}{4}\)
\(4x-2x^3\)
\(2^x\)
\(\dfrac{2x-4}{x^2+1}\)

☐ ☐ ✓ ✗

Check

This is Substitution Sort level 3. You can also try:
Level 1 Level 2

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.

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Description of Levels

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Substitution - The basics, which might be a good place to start before doing this exercise.

Level 1 - Simple expressions

Level 2 - Moderate expressions

Level 3 - Advanced expressions

More on this topic 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.

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Curriculum Reference

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

Help

If you are in any way unsure about substituting values into expressions it would probably be a good idea to start with the basic Substitution exercise.

The video below was made to support that exercise.

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.

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