Home > Grade 6 > Expressions & Equations > Solving One-Step Equations

Solving One-Step Equations

Directions: Use the numbers 1 through 9, at most one time each, to make each equation true.

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?

One answer from Barb Everhart is:
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

Subtracting Multi-Decimals

Directions: Use the digits 1 to 9, at most one time each, to fill in …

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

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.

2. Another student came up with

1+a=8
3b=6
c-4=5
a=7, b=2, c=9

3. 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.