Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additional notes, can be found here: http://www.mrbartonmaths.com/blog/probing-maths-questions-index-page/
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• What is the largest solution for x?<br />
• What is the smallest solution for x?<br />
• How many ways can you get an integer solution for x?<br />
• How many ways can you get a solution of 2?<br />
• How many ways can get a solution of -0.5?<br />
• Can you make it so there are no solutions for x?<br />
• How about an infinite number of solutions for x?<br />
• What happens if you could only use the numbers between -9 and -1?<br />
• Or between 10 and 20?<br />
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