Equivalent Expressions 1

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create two expressions that are equivalent to one another.

Hint

What values will make the constants equivalent? What values will make the variable terms equivalent?

Answer

Here are some possibilities:
1x + 2x + 9 + 3x = 4 + 6x + 5;
1x + 2x + 8 + 4x = 3 + 7x + 5

Source: Will Case

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12 comments

  1. answer 3x+2x+8+4x=1+9x+7

  2. 8x+5x+2+4x=4+5x+9

  3. Answer: 1x+2x+3+1x=4x+3

  4. 5x + 3x + 4 + 1x = 3 + 9x + 1

  5. Bhargava Gadagottu

    3x + 8x + 4+ x = 2 + 12x + 2

  6. 3x+1X+8+5x=6+9x+2

  7. answer 5x +3x + 4 + 2x = 3 + 7 + 4x

  8. Rudolf Österreicher

    Here are all the solutions (excluding swapping addends):
    1x + 2x + 7 + 5x = 3 + 8x + 4
    1x + 2x + 7 + 6x = 3 + 9x + 4
    1x + 2x + 8 + 4x = 3 + 7x + 5
    1x + 2x + 8 + 6x = 3 + 9x + 5
    1x + 2x + 9 + 3x = 4 + 6x + 5
    1x + 2x + 9 + 4x = 3 + 7x + 6
    1x + 2x + 9 + 5x = 3 + 8x + 6
    1x + 3x + 6 + 5x = 2 + 9x + 4
    1x + 3x + 7 + 4x = 2 + 8x + 5
    1x + 3x + 8 + 5x = 2 + 9x + 6
    1x + 3x + 9 + 4x = 2 + 8x + 7
    2x + 3x + 6 + 4x = 1 + 9x + 5
    2x + 3x + 7 + 4x = 1 + 9x + 6
    2x + 3x + 8 + 4x = 1 + 9x + 7

  9. 2X+4X+1+3X=2+5X+3

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