## Practise solving quadratic equations algebraically with this self-marking exercise.

##### FactorisingLevel 1Level 2Level 3Level 4Level 5Level 6Level 7ExamDescHelpMore

This is level 2; Two terms where the unknown is a factor of both. The roots are integers. You can earn a trophy if you get at least 7 correct.

 $$x^2 − 2x = 0$$ x = and $$x^2 + 3x = 0$$ x = and $$x^2 + 7x = 0$$ x = and $$x^2 − 6x = 0$$ x = and $$x^2 − 7x = 0$$ x = and $$x^2 − 8x = 0$$ x = and $$2x^2 − 8x = 0$$ x = and $$5x^2 + 10x = 0$$ x = and $$3x^2 + 6x = 0$$ x = and $$5x^2 − 3x = 0$$ x = and $$10x^2 + 3x = 0$$ x = and $$4x^2 = −2x$$ x = and
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This is Quadratic Equations level 2. You can also try:
Level 1 Level 3 Level 4 Level 5 Level 6 Level 7

## 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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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

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## 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.

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## Teachers

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## Description of Levels

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Factorising - Factorise algebraic expressions in this structured online self marking exercise.

Level 1 - A quadratic equation presented in a factorised form.

Level 2 - Two terms where the unknown is a factor of both. The roots are integers.

Level 3 - Three terms where the squared term has a coefficient of one. The roots are integers.

Level 4 - Three terms where the squared term has a coefficient other than one and the expression factorises.

Level 5 - The difference between two squares.

Level 6 - Three terms and the roots are not necessarily integers.

Level 7 - Mixed questions on solving quadratic equations

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

## Curriculum Reference

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

## Help

### Example Level 2

$$x^2 + 7x = 0$$

The expression on the left of this equation can be factorised as each of the two terms contains a factor of $$x$$.

$$x(x + 7) = 0$$

Here there are two terms which multiply together to give zero. It is therefore true that at least one of the terms must be zero.

So either $$x=0$$

Or $$x+7=0$$ which means $$x=-7$$

So the two answers are 0 and -7

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.

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