Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

Video Summary

Jenny needs to fill the last corner cell of a 3x3 grid to ensure all possible 2x2 squares have the same sum. Given numbers in the grid corners are 2, 3, and 4. Applying systematic algebra by setting variables for unknown cells and equating sums of different 2x2 squares, the problem simplifies to the equation: \(3 + \text{unknown} = 4\). Solving this gives the unknown number as 1. Therefore, she should write the number 1 in the fourth corner cell to satisfy the condition.

Keywords

3x3 grid

2x2 squares

algebra

equal sum

unknown cell