Magic Squares

Magic Squares:

History and An Algebraic Approach​ to solving them

By Deanne Edman and Larry Cooper

​The History of Magic Squares

​ Magic Squares

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Multiple Choice

Solve for x and y by using the substitution method.

3x + 2y = 16

y = -7x + 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

​ Solving System of Equations Graphically

Multiple Choice

Solve the following system using the substitution method.

• $$\left(4,\ 0\right)$$

• $$\left(0,\ 4\right)$$

• $$\left(4,\ 11\right)$$

• $$\left(11,\ 4\right)$$

Multiple Choice

Solve the system by using the substitution method.

• $$\left(3,\ 6\right)$$

• $$\left(6,\ 3\right)$$

• $$\left(1,\ 4\right)$$

• $$\left(4,\ 1\right)$$

​Arithmetic Series

Fill in the Blanks

The whole numbers 11 through 19 are arranged in the squares shown so that the sum of the numbers in each row, column, and diagonal is the same. What is the common sum?

Fill in the Blanks

The remaining six boxes in the square below are filled so that the sum of the numbers in each row, column, and diagonal is the same. What number goes in the upper left-hand corner?