# 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.

 $$5x + 3 + 3x$$ $$4y + 8 - 2y$$ $$7w - 5 - 2w$$ $$4m + 4 + 8m + 7$$ $$8n + 4 - 7n + 3$$ $$3a - 7 - 2a - 7$$ $$8b + 4c + 6b + 3c$$ $$7p + 11q + 9p - 8q - 5p$$ $$4d - 5e - 3d + 8e - 2d$$ $$18a + 9b + 8a - 5b - 2a$$ $$6x - 6y - 5x + 22y - 2x$$ $$18r - 14s + 12r + 14s - 13$$
Check

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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