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Collecting Like Terms

Practise your algebraic simplification skills with this self marking exercise.

Level 1 Level 2 Description Help Brackets More Algebra

This is level 2; Quadratic expressions.

Simplify each of the following by collecting together like terms.

\(4x^2 + 6x + 2x^2\)

Squared Correct Wrong

\(5y + 8y^2 - 3y\)

Squared Correct Wrong

\(9w^2 - 8w - 4w^2\)

Squared Correct Wrong

\(4m + 8m^2 + 2m + 7m^2\)

Squared Correct Wrong

\(5n + 7n^2 - 4n + 3n^2\)

Squared Correct Wrong

\(4a - 5a^2 - 3a - 3a^2\)

Squared Correct Wrong

\(6b^2 + 5c + 2b - 5c\)

Squared Correct Wrong

\(5p + 10p^2 + 9p - 6p^2 - 5p\)

Squared Correct Wrong

\(6d^2 - 7e - 4d^2 + 9e - 3d^2\)

Squared Correct Wrong

\(-3c - 6c^2 - 6c - 7c^2\)

Squared Correct Wrong

\(-17k - 2k^2 - 8k - 16k^2\)

Squared Correct Wrong

\(18n^3 + 14n^2 - 18n^3 + 18n\)

Squared Correct Wrong

Check

This is Collecting Like Terms level 2. You can also try:
Collecting Like Terms Level 1 Brackets 1 Brackets 2 Brackets 3 Brackets 4 Brackets 5 Brackets 6 Brackets 7 Brackets 8 Brackets 9

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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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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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Activity/Algebra/Collecting_Like_Terms.asp?Level=2

Description of Levels

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Level 1 - Collect like terms in linear expressions

Example \(5n+4−4n+8\)

Level 2 - Collect like terms in quadratic expressions

Example \(6y+9y^2−3y\)

Brackets Level 1 - Collect like terms when 1 term is repeated

Example: \(5d - (2d + 2)\)

Brackets Level 2 - Collecting like terms when 2 terms are repeated

Example: \((9d - 7) - (5d - 2)\)

Brackets Level 3 - Multiplying a single positive integer over a bracket

Example: \(4(2d + 4)\)

Brackets Level 4 - Multiplying a single negative integer over a bracket

Example: \(-5(5d + 4)\)

Brackets Level 5 - Multiplying a variable over a bracket

Example: \(4d(5d - 5)\)

Brackets Level 6 - Expanding products of two simple binomials

Example: \((d + 7)(d - 2)\)

Brackets Level 7 - Expanding products of two binomials

Example: \((4d + 7)(3d + 2)\)

Brackets Level 8 - Squaring a binomial

Example: \((3d + 2)^2\)

Brackets Level 9 - Simplifying more complex expressions involving brackets

Example: \(5(3d+1)-2(1-2d)\)

Collecting Like Terms

This video 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.

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