Collecting Like TermsPractise 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.
This is Collecting Like Terms level 1. You can also try:
Collecting Like Terms Level 2
Collecting Like Terms Level 3
Brackets 1
Brackets 2
Brackets 3
Brackets 4
Brackets 5
Brackets 6
Brackets 7
Brackets 8
Brackets 9
InstructionsTry 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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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: \(5(3d+1)2(12d)\)
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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