Lucas thinks of a number. "If I double my number and add 3 the answer is 45"  Luis thinks of a number. "If I multiply my number by 3 and add 6 the answer is 45"  
Luke thinks of a number. "If I add 4 to my number then divide the result by 2, the answer is 12.5"  Mackenzie thinks of a number. "If I multiply my number by 5 and subtract 5 then multiply the result by 3, the answer is 4 less than 169" 
What numbers are they thinking about?
Topics: Starter  Algebra  Functions  Puzzles
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=November1 However it would be better to assign one of the student interactive activities below. 

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See the National Curriculum page for links to related online activities and resources.