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BracketsExpand algebraic expressions containing brackets and simplify the resulting expressions. |
This is level 3: multiplying a single positive integer over a bracket. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.
Simplify the following expressions by removing the brackets. Order the terms in your answers so that variable terms come before the constants .
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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Recently UpdatedFactorising Practise the skills of algebraic factorisation in this structured online self-marking exercise. So far this activity has been accessed 53851 times and 34070 Transum Trophies have been awarded for completing it. |
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" |
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Featured ActivityStriped Sweets Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations. |
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic. | ||
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❎Level 1 - Collecting like terms when 1 term is repeated
Level 2 - Collecting like terms when 2 terms are repeated
Level 3 - Multiplying a single positive integer over a bracket
Level 4 - Multiplying a single negative integer over a bracket
Level 5 - Multiplying a variable over a bracket
Level 6 - Expanding products of two simple binomials
Level 7 - Expanding products of two binomials
Level 8 - Squaring a binomial
Level 9 - Simplifying more complex expressions involving brackets
Level 10 - Expanding products of three binomials (cubic expressions)
Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
Binomial Theorem - Exercises in expanding powers of binomial expressions and finding specific coefficients.
More Algebra - There are many more exercise, Starters and other Algebra resources on the main Algebra page.
Remove the brackets to give 5d - 2d - 2
[note that everything inside the bracket is subtracted from 5d]
Collect like terms to give 3d - 2
Remove the brackets to give 9d - 7 - 5d + 2
[note that negative 2 becomes positive due to the negative sign in front of the second bracket]
Collect like terms to give 4d - 5
Multiply each term inside the bracket by 4 to give 8d + 16
Multiply each term inside the bracket by negative 5 to give -25d - 20
Multiply each term inside the bracket by 4d to give 20d^2 - 20d
Multiply each term of the first bracket by each term of the second bracket to give d^2 + 7d - 2d - 14
Collect like terms to give d^2 + 5d - 14
F.O.I.L. First Outer Inner Last
Multiply each term of the first bracket by each term of the second bracket to give 12d^2 + 8d + 21d + 14
Collect like terms to give 12d^2 + 29d + 14
Write as (3d + 2)(3d + 2) then expand as in the previous example to give 9d^2 + 12d + 4
Multiply out the brackets to give 15d + 5 - 2 + 4d
Collect like terms to give 19d + 3
Multiply out the first pair of brackets to give (2x^2+2x-4)(x+2)
Multiply each term in the first set of brackets by each of the terms in the second set of brackets then collect like terms to give 2x3 + 6x^2 - 8
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 double-click the 'Check' button to make it float at the bottom of your screen.
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These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.
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