Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make each equation true.

### Hint

### Hint

How does choosing the coefficient or constant affect the variable’s value?

What is the largest possible value that the coefficient of b can be?

What is the largest possible value that the coefficient of b can be?

### Answer

### Answer

One answer from Barb Everhart is:

4 + a = 9

3 * b = 6

c – 7 = 1

a = 5, b = 2, c = 8

4 + a = 9

3 * b = 6

c – 7 = 1

a = 5, b = 2, c = 8

There are likely other solutions as well.

Source: Robert Kaplinsky

This answer does not seem to fit the problem (please let me know if I am missing something).

The answer I got was:

4 + a = 9

3 * b = 6

c – 7 = 1

a = 5, b = 2, c = 8

I am using this problem in PD tomorrow, so please let me know if there is an error in my thinking. 🙂

Thanks Barb. I’m not sure how that answer got switched into this problem. I can’t remember what answer I originally got. Your’s definitely works though. Probably others too.

Another student came up with

1+a=8

3b=6

c-4=5

a=7, b=2, c=9

The thought process in this question reminds me of Ken Ken Puzzles. These can be played on-line or you can receive an weekly email with printable puzzles. http://www.kenkenpuzzle.com/teachers/classroom

– I do not work for Ken Ken…just love them.