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MathSummer

Mainland High School · CCTT

These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 textbook (Glencoe Algebra 1 — ISBN: 9780028253282) into html format.

 

Long-Term Project
Algebraic Magic Squares

 

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? Is 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? Is it panmagic? Explain.

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Copyright 1997-1999: html adaptation
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