Exploring Equations

Directions: For each problem below, use the digits 1 to 9 at most one time each, to fill in the boxes to find the the greatest value for x that you can.


Where should the 9 go or not go? Where should the 1 go or not go?


(1/8)x + 2 = 9 yields a solution of 56.

(1/9)x – 8 = 7 and (1/9)x – 7 = 8 both have a solution of 135.

Source:  Chase Orton and Mark Goldstein

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  1. A student asked me about the value of x and since it’s on the page twice it implies they are the same value. Great activity!!

  2. NO PREP! INTERACTIVE GOOGLE SLIDES that go with this problem. Link Here:

    – You can assign this to student through google classroom.
    – You can use it on an interactive board/tv

  3. Hi there. I have a question for this activity. You said that we could not repeat the same digits, but you repeated the 1 in your answer key. Is that a mistake or can we make our answers like that?

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