Completing the Square

Practise this technique for use in solving quadratic equations and analysing graphs.

Level 1Level 2Level 3EquationsExam StyleDescriptionHelpMore Algebra

Write the following expressions in the 'Completing The Square' format.

This is level 1; Expressions with two terms such as $$x^2 + 6x$$.

 $$x^2+4x$$ $$x^2+6x$$ $$x^2+10x$$ $$x^2+12x$$ $$x^2-16x$$ $$x^2+18x$$ $$x^2-22x$$ $$x^2+26x$$ $$x^2-30x$$
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This is Completing the Square level 1. You can also try:
Level 2 Level 3

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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Tuesday, December 6, 2016

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Description of Levels

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Level 1 - Expressions with two terms such as $$x^2 + 6x$$

Level 2 - Expressions with three terms such as $$x^2 + 4x - 7$$

Level 3 - The coefficient of the squared term is greater than one such as $$2x^2 + 8x - 9$$

Equations - Use the ability to complete the square to help solve quadratic equations.

Exam Style questions take the skill of completing the square and put it to use solving real problems. Typically problems involve solving equations or describing features of graphs. The 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.

Completing The Square

The video above is from Hegarty Maths.

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.

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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