 ## Example 1: Evaluating function values

The most obvious application of a table. Calculate the value of each cell.

## Example 2: Enforcing relations

A powerful feature of the Math Table interaction is the ability to validate relations on the cells. This allows for open questions where students are free to choose their inputs, while AlgebraKiT validates if certain conditions are met.

In this example, the student can choose any value for x as long as the numbers are increasing.

## Example 3: Approximating a solution

The student is challenged to find the solution of an equation. Notice how the student is free to choose the values for x. AlgebraKiT’s evaluation engine generates suitable feedback based on author-defined evaluation criteria.

## Example 4: Product-Sum Method

Another example of an open question. The student needs to find the two divisors of -30 that have -13 as their sum. The student is free to try any values, while AlgbraKiT validates if the numbers are valid divisors and if they are summed correctly.