Collecting Like Terms
Practise your algebraic simplification skills with this self-marking exercise.
This is level 4; Expressions including multiplication and division.
Simplify each of the following by collecting together like terms. (do not factorise your answer)
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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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