Collecting Like Terms
Practise your algebraic simplification skills with this self-marking exercise.
This is level 1; Basic linear expressions.
Simplify each of the following by collecting together like terms.
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Level 1 - Collect like terms in basic linear expressions
Example \(7d - 3d\)
Level 2 - Collect like terms in more interesting linear expressions
Level 3 - Collect like terms in quadratic expressions
Level 4 - Collect like terms in Expressions including multiplication and division
Example \(6y+9y\times y−3y^2\)
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