Balanced Equation

Directions: Use the operation symbols (+, -, x, and ÷) to make the equation true. Operations may be used more than once.

Hint

What is a value for the left side of the equation? What is a value for the right side of the equation?

Answer

There are many possibilities, here is one
2 x (3 x 7 + 9) = (1 x 5) x (8 +4)

Source: Joshua Nelson

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42 comments

  1. My class got 2 x (3 + 7 + 9) = (1 + 5) + (8 x 4)

  2. 2+(3×7=9)=(1-5)/(8×4)
    2x(3/7-9)=(1+5)x(8/4)
    2-(3x7x9)=(1-5)-(8/4)
    2/(3-7/9)=(1×5)98-4)
    2x(3+7+9)=(1-5)(8×4)

    • 2×(3×7+9)=(1×5)×(8+4)

    • Jennifer Cecchine

      Both sides need to be equal. In most of your examples, you have either a negative solution on only one side, or you have a fractional answer on only one side.

      2+(3×7=9)=(1-5)/(8×4)
      2 + (21-9) = -4 ÷ 32 (I assumed you meant -9, not =9
      2 +12 = -⅛ (or -0.125)
      14 ≠ -⅛

      2x(3/7-9)=(1+5)x(8/4)
      2 x (3 ÷ 7 – 9) = (1 + 5) x (8 ÷ 4)
      2 x (3/7 – 9) = 6 x 2
      2 x -8 4/7 = 12
      -17 1/7 ≠ 12

      2-(3x7x9)=(1-5)-(8/4)
      2 – (21 x 9) = -4 – 2
      2 – 189 = -6
      -187 ≠ -6

      2/(3-7/9)=(1×5)98-4)
      2 ÷ (3 – 7/9) = 5 x 4 (I assumed you meant x, not 9)
      2 ÷ 2 2/9 = 20
      9/10 ≠ 20

      2x(3+7+9)=(1-5)(8×4)
      2 x 19 = -4 x 32
      38 ≠ -128

      You were almost there. On your last equation, can you rework the second expression to equal the value of the first expression?

  3. 2 x (3 + 7 + 9)=(1 + 5) + (8 x 4)

  4. I got 2 times (3 times 7 + 9)=( 1 times 5)times ( 8+4)

  5. 2- (3X7-9)=(1X5)X(8+4)

  6. 2x (3+7+9)=(1-5)(8×4)

  7. 2x (3+7+9)=(1-5)(8×4)

  8. 2 x (3 x 7 + 9) = (1 x 5) x (8 +4)

  9. Garrison Phillips

    2 x (3 x 7 + 9) = (1 x 5) x (8 + 4)

  10. 2 X (3×7+9)=(1×5)x(8+4)

  11. 2 x (3 x 7 + 9) = (1 x 5) x (8 +4) Is the one that I got.

  12. i don understand the equation

  13. I got 2×(3×7+9)=(1-5)×(8+1)

  14. 2 x (3 x 7 + 9) = (1 x 5) x (8 +4)

  15. I got 2 +(3-7+9)=(1×5)+(8/4) Answer 7.

  16. 2x(3×7+9)=(1×5)x(8+$

  17. 2x(3=7=9)=(1×5)x(8=4)

  18. 2x(3×7+9) = (1×5)x(8+4)

  19. 2 x (3 x 7 + 9) = (1 x 5) x (8 +4)

  20. 2x(3×7+9)=(1×5)x(8+4)

  21. 2x(3-7+9)=(1+5)-(8×4)

  22. 2 + ( 3 + 7 – 9 ) = ( 1 x 5 ) – ( 8 / 4 )

  23. 2 x [3+7+9]=[1+5+4 x 8]

  24. 2 x (3 x 7 + 9) = (1 x 5) x (8 +4)

  25. 2x(3+7+9)=(1+5)+(8×4)

  26. 2x(3+7+9)=(1+5)+8×4}

  27. We got
    2x(3×7-9) = (1+5)x(8-4)

  28. 2×(3x7x9)=(1×5)x(8×4)

  29. 2x(3×7+9)=(1×5)x(8+4)

  30. I got 2-(3+7-9)=(1/5)-(8-4)

  31. Rudolf Österreicher

    14 solutions:
    2 – (3 + 7 – 9) = (1 * 5) – (8 – 4) = 1
    2 – (3 * 7 / 9) = (1 – 5) / (8 + 4) = -0.33
    2 * (3 + 7 – 9) = (1 + 5) – (8 – 4) = 2
    2 * (3 * 7 – 9) = (1 + 5) * (8 – 4) = 24
    2 * (3 – 7 – 9) = (1 + 5) – (8 * 4) = -26
    2 * (3 + 7 + 9) = (1 + 5) + (8 * 4) = 38
    2 * (3 * 7 + 9) = (1 * 5) * (8 + 4) = 60
    2 * (3 – 7 + 9) = (1 * 5) * (8 / 4) = 10
    2 * (3 – 7 + 9) = (1 + 5) + (8 – 4) = 10
    2 / (3 + 7 – 9) = (1 + 5) – (8 – 4) = 2
    2 / (3 – 7 + 9) = (1 / 5) * (8 / 4) = 0,4
    2 + (3 + 7 – 9) = (1 * 5) – (8 / 4) = 3
    2 + (3 + 7 – 9) = (1 + 5) / (8 / 4) = 3
    2 + (3 – 7 + 9) = (1 * 5) + (8 / 4) = 7

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