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Multi-Step Equations – Positive (or Negative) Solution

Directions: Using the digits 1 to 9, at most one time each, create an equation where x has a positive (or negative) value.

Hint

Hint

What makes a solution positive (or negative)?
Where do you want to put the larger (or smaller) numbers?

Answer

Answer

There are many solutions that would work.

Example that would give a positive solution:
(1/2)(4x + 8) + 6x = 9x + 3 … here, x = 1

Example that would give a negative solutions
(1/3)(6x + 9) + 2x = 5x + 7 … here, x = -4

Another constraint or extension you could add is change the directions to say: “Use the digits 1 to 9, at most one time each, to create an equation where x has a positive (or negative) integer value.”

Source: Daniel Luevanos

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23 comments

  1. (1/3)(6x+9)+2x=5x+7
    x=-4

  2. (1/2)(4x+8)+6x=9x+3
    x=1

  3. 3/6(2x+4)+7x=6x+5
    x= 1.5

  4. 2/6(4x+8)+7x=3x+9
    x=1.2

  5. 1/3(4+8)+2x=2x+8
    x=4

  6. 1/2(5x+6)+3x=4x+9

    X=4

  7. 1/2(-9x(4)=8x(2)

  8. (1/2)(4x + 8) + 6x = 9x + 3

    which is 1

  9. (1/2)(4x + 8) + 6x =9x + 3

    which is 1

  10. 5/3 (6x+3+1x=4x+3
    x=-0.28

  11. 3/4(8x+7)+3x=11x+2

  12. 1/2(4x-2)+3x=-2x+4
    x=5

  13. 1/2x(2x-1)+4x=-6x+2
    x=no solution

  14. 2/3x-1/6=1/2x+5/6
    x=6

  15. (1/2)(4x+8)+6x=9x+3
    x=1

  16. 2/1(4x+6)+7x=5x+8

  17. (1/2)(4x+9)+6x= 7x+2

  18. 1/2(5x+6)+3x=4x+9 X=4

  19. 1/5 (3x + 2) + 4x = 6x + 8
    X=6

  20. 1/5 (3x + 2) + 4x = 6x + 8
    X=6

  21. 3/4m−2(m−1)= 1/4m+5
    m=-2

  22. 1/6(2x+3)+7x=-12+10
    x=3

  23. 1/6(1x+9)+2x=4x+6

    x=5

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