Solving One-Step Equations (Negative and Positive Solutions)

Directions: Use the digits 1 to 9, at most one time each, to create two equations: one where x has a positive value and one where x has a negative value.

Hint

How does the value of the number being added to x affect the value of x?
How does the value of the sum affect the value of x?

Answer

There are many answers. To get a positive solution, the number being added to x should be less than the sum. To get a negative solution, the number being added to x should be greater than the sum.

Source: Robert Kaplinsky

Print Friendly, PDF & Email

Check Also

Ratios 1

Directions: Using the digits 0 to 9 at most one time each, fill in the …

4 comments

  1. Could you extend this by asking: ” Using the same digits, create an equation where x has a negative value. What do you notice?”

  2. I love the critical thinking required in these questions, but this particular question isn’t a sixth grade Common Core standard. The standard, 6.EE.7, asks students to solve multiplication and addition equation with numbers that are all “nonnegative rational numbers”. Is there a way to align this question to the standard better while still preserving the DOK level? Students do not learn operations with negative numbers until the seventh grade.

  3. X is positive:
    1 x 3 + x = 2 x 6
    3 + x = 12
    x = 9
    X is negative:
    3 x 6 + x = 2 x 5
    18 + x = 10
    x = -8

Leave a Reply

Your email address will not be published. Required fields are marked *