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

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This is level 5; Quadratic equations that factorise after being rearranged. You can earn a trophy if you get at least 9 correct.

 $$x^2 + 5x = 6$$ x = and $$x^2 = 4x − 4$$ x = and $$x^2 = 6x$$ x = and $$4x^2 = 13x − 3$$ x = and $$4x^2 = x + 3$$ x = and $$4x^2 + 19x = -12$$ x = and $$4x^2 = -8x − 3$$ x = and $$10x^2 = 35x − 25$$ x = and $$2x^2 = 9(x + 2)$$ x = and $$(2x + 5)(x − 2) + 7 = 0$$ x = and $$(4x + 3)(x + 3) = 13$$ x = and $$x + 4 = \frac{21}{x}$$ x = and
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This is Quadratic Equations level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6 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.

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Answer multiple choice questions about basic mathematical ideas. If you get a number of questions correct you will be invited to post a question of your own. The bank of questions grows larger every day.

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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.

## 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.

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Lisa, HPSC

Thursday, August 11, 2022

"Be great if we could enter fractions using the slash e.g. 1/2.

[Transum: Great idea Lisa. The fraction input capability has been activated, Use the forward slash / when typing in fractions. Mixed numbers however will not be recognised so please type those as improper fractions.]"

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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.

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 - Quadratic equations that factorise after being rearranged.

Level 6 - The difference between two squares.

Level 7 - Three terms and the roots are not necessarily integers.

Level 8 - 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.

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.

## Curriculum Reference

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

## Help

Answers can be typed in as decimals or fractions but not mixed numbers. For example the answer of $$1.2$$ can also be typed in as $$\frac{6}{5}$$ but not as $$1\frac{1}{5}$$. This due to limitations of the software used to check your answers. Note that the mixed numbers option would be acceptable in examinations.

Use the forward slash / when typing in fractions.

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.

### Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

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