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8. Add the expressions in each row, column, and main diagonal of the array. Describe the sums.

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x - 7 x - 6 x - 1 x + 4
x - 2 x + 5 x - 8 x - 5
x - 4 x - 9 x + 2 x + 1
x + 3 x x - 3 x - 10

9. List the elements in the six broken diagonals of this array.

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10. Find the sum of each broken diagonal.

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11. Explain why the array is a panmagic square.

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12. Complete this square array so that it will be a magic square.
x - 7      
    x - 5  
      x + 3
x + 2     x - 2

 

13. Add 3 to each expression of the magic square. Is the new square magic? I s it panmagic? Explain.

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14. Subtract 4 from each equation of the magic square in Exercise 12. Is the new square magic? I s it panmagic? Explain.

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