Collecting Like Terms
Practise your algebraic simplification skills with this self marking exercise.
This is level 1; Linear expressions.
Simplify each of the following by collecting together like terms.
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.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
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Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:
"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:
"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."
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Level 1 - Collect like terms in linear expressions
Level 2 - Collect like terms in quadratic expressions
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