Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equations true.
Hint
How does the coefficient of x affect the variable’s value?
What is the relationship between the two constants?
What is the relationship between the two constants?
Answer
There are many possible solutions. A few are:
2x + 3 = 85 –> x = 41
2x + 5 = 13 –> x = 04
2x + 7 = 39 –> x = 16
2x + 8 = 40 –> x = 16
3x + 1 = 28 –> x = 09
3x + 2 = 17 –> x = 05
3x + 4 = 25 –> x = 07
2x + 3 = 85 –> x = 41
2x + 5 = 13 –> x = 04
2x + 7 = 39 –> x = 16
2x + 8 = 40 –> x = 16
3x + 1 = 28 –> x = 09
3x + 2 = 17 –> x = 05
3x + 4 = 25 –> x = 07
Source: Michele Dijkstra
5x+1=11
x=02
Remember, you can only use each digit once.
2x + 8 = 76
x = 34
2x+5=37
x=16
3x+4=67
x=21
4x+3=87
x=21
4x + 5 = 97
x=23
2x + 0 = 38
x=19
2x + 7 = 47
x = 20