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