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Two-Step Equations

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the greatest (or least) possible values for x.



How does each constant’s value affect the solution’s value?
How does the coefficient’s value affect the solution’s value?



Assuming x can be a negative value, 1x + 9 = 2 gives the least possible value of -7. The greatest possible value would be, 1x + 2 = 9

Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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  1. I think you have a typo on the largest value, shouldn’t it read 1x + 2 = 9?

  2. I think I would also use this with a fraction coefficient, so students have to fill in 4 boxes.

  3. I also like the idea you did at CMC where students would need to find the number closest to 0!

  4. How about 1x + 2 = 9876543

  5. If you may use all digits once:
    Smallest positive number is 1/9876543

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