Question

From the picture, find the value of the pawn in each of the following problems, and write the check

Answer 1

6) x = 6

7) x = 4

8) x = 4

9) x = 6

10) x = 6

Explanation:

This is based on Dr. Henry Borenson's method of using pawns to explain algebraic equations. Frankl I find using variables more intuitive

Let each pawn represent an x in the equations

6.
x + 8 = 10 + 4

x = 10 + 4 - 8

x = 14 - 8 = 6

7.

x + x = 4 + x
2x = 4 + x
2x - x = 4

x = 4

8.

x + x + x + 2 = 7 + 7
3x + 2 = 14

3x = 14 - 2

3x = 12

x = 12/3

x = 4

9.

2x + 4 = x + 10

2x - x = 10 - 4

x = 6

10

3x = x + 10 + 2

3x = x + 12

3x - x = 12

2x = 12

x = 6