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A Maths Starter Of The Day

Makayla thinks of a number.

She then does the following operations:

Multiply by 2, subtract 2, multiply by 3 then add 38 (in that order).

No calculators allowed

She finds that the number she ends up with is 10 times her original number.

What was Makayla's original number?

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Topics: Starter | Algebra

  • Teacher, Derbyshire
  • Wednesday, June 24, 2009
  • "Used this as a plenary question to a year 8 lesson on solving equations with x on both sides. Good challenge both in setting up the equation and then solving it."
  • Teacher, Surrey
  • Thursday, January 26, 2012
  • "When checking answer, it only works on non-scientific calculators as they do not apply BIDMAS!!"

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Answers

This question is best answered by forming an algebraic equation then solving it. Let Makayla's original number be x.

First operation gives 2x

Second operation gives 2x- 2

Third operation gives 3(2x- 2)

Fourth operation gives 3(2x- 2) + 38

This is equal to 10 times the original number

3(2x - 2) + 38 = 10x

6x- 6 + 38 = 10x

...

x = 8

Makayla's original number was 8.

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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have Laptops in Lessons or iPads?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

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Here is the URL which will take students to our eQuation Generator which provides unlimited practice solving linear equations.

Transum.org/go/?to=eQuation

 

 




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