Open Middle®
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.
Hint
How does each constant’s value affect the solution’s value?
How does the coefficient’s value affect the solution’s value?
How does the coefficient’s value affect the solution’s value?
Answer
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
I think you have a typo on the largest value, shouldn’t it read 1x + 2 = 9?
Good catch. Yes, that was a typo.
I think I would also use this with a fraction coefficient, so students have to fill in 4 boxes.
That is a great modification! Thanks Bryan!
Will you please share your modification with me?
I also like the idea you did at CMC where students would need to find the number closest to 0!
That would be a cool modification. Thanks!
How about 1x + 2 = 9876543
If you may use all digits once:
Smallest positive number is 1/9876543
9876543x+1=2
Once per box but I like your thought process
NO PREP! INTERACTIVE GOOGLE SLIDES for this problem:
shorturl.at/yDT24
– You can assign this to students through google classroom.
– You can use this on any interactive white board to use whole class.
Thank you Amber! This is going to be great for my virtual review tomorrow.
3 . 3.666 + 4 = 15
4x + 1 = 9