| NAME __________________________________ | CLASS _________________ | DATE _________________ |

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. |
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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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