# Collecting Like Terms

## Practise your algebraic simplification skills with this self marking exercise.

##### Level 1Level 2DescriptionHelpBracketsMore Algebra

This is level 2; Quadratic expressions.

Simplify each of the following by collecting together like terms.

 $$5x^2 + 2x + 3x^2$$ $$8y + 6y^2 - 4y$$ $$5w^2 - 8w - 2w^2$$ $$6m + 7m^2 + 2m + 5m^2$$ $$8n + 3n^2 - 7n + 7n^2$$ $$6a - 6a^2 - 5a - 8a^2$$ $$5b^2 + 4c + 3b - 4c$$ $$7p + 6p^2 + 6p - 3p^2 - 5p$$ $$6d^2 - 5e - 3d^2 + 8e - 4d^2$$ $$-3c - 6c^2 - 4c - 9c^2$$ $$-18k - 5k^2 - 5k - 15k^2$$ $$12n^3 + 14n^2 - 12n^3 + 17n$$
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.

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## Teachers

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## 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.

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