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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

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

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

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3 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.

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