# Collecting Like Terms

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

##### Level 1Level 2DescriptionHelpBracketsMore Algebra

This is level 1; Linear expressions.

Simplify each of the following by collecting together like terms.

 $$6x + 3 + 2x$$ $$6y + 9 - 4y$$ $$8w - 5 - 4w$$ $$3m + 7 + 4m + 9$$ $$3n + 2 - 2n + 7$$ $$4a - 4 - 3a - 7$$ $$7b + 2c + 2b + 5c$$ $$8p + 13q + 5p - 9q - 4p$$ $$8d - 9e - 5d + 13e - 4d$$ $$19a + 10b + 5a - 8b - 3a$$ $$7x - 7y - 3x + 20y - 5x$$ $$14r - 16s + 12r + 16s - 19$$
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This is Collecting Like Terms level 1. You can also try:
Collecting Like Terms Level 2 Brackets 1 Brackets 2 Brackets 3 Brackets 4 Brackets 5 Brackets 6 Brackets 7 Brackets 8 Brackets 9

## Instructions

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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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