Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create two equivalent expressions.

### Hint

Which part of the expression does the fraction affect?

### Answer

There are many possibilities, here are some possibilities:

(1/2)(6x + 8) + 4x + 5 = 7x + 9

(1/2)(8x + 6) + 5x + 4 = 9x + 7

(1/2)(6x + 8) + 4x + 5 = 7x + 9

(1/2)(8x + 6) + 5x + 4 = 9x + 7

Source: Will Case

I’ve found QUITE a few possibilities for this one!

1/3(9x +6) +5x +2 = 8x + 4

1/2(6x +4) +5x + 7 = 8x + 9

2/3(9x +6) + 1x + 4 = 7x + 8

and of course, in all three of those situations, I can double the possibilities by swapping the numbers that are coefficients with the numbers that are constants, so for example this would also work:

1/3(6x + 9) + 2x + 5 = 4x + 8

1/3(9x +6) +5x +2 = 8x + 4

1/2(6x +4) +5x + 7 = 8x + 9

2/3(9x +6) + 1x + 4 = 7x + 8

this would also work:

1/3(6x + 9) + 2x + 5 = 4x + 8