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# Two-Step Equations

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the greatest (or least) possible values for x. ### Hint

How does each constant’s value affect the solution’s value?
How does the coefficient’s value affect the solution’s value?

Assuming x can be a negative value, 1x + 9 = 2 gives the least possible value of -7. The greatest possible value would be, 1x + 2 = 9

Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

## Sides of a Triangle

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets …

1. I think you have a typo on the largest value, shouldn’t it read 1x + 2 = 9?

• Robert Kaplinsky

Good catch. Yes, that was a typo.

2. I think I would also use this with a fraction coefficient, so students have to fill in 4 boxes.

• Robert Kaplinsky

That is a great modification! Thanks Bryan!

• 3. I also like the idea you did at CMC where students would need to find the number closest to 0!

• That would be a cool modification. Thanks!

4. How about 1x + 2 = 9876543

5. If you may use all digits once:
Smallest positive number is 1/9876543
9876543x+1=2

• Once per box but I like your thought process

6. NO PREP! INTERACTIVE GOOGLE SLIDES for this problem:
shorturl.at/yDT24

– You can assign this to students through google classroom.
– You can use this on any interactive white board to use whole class.