Input-Output Tables

Input-Output Tables: How to Solve

1. Find the rule Look at the input value and the matching output value. The table is built from one consistent rule, such as adding, subtracting, multiplying, or dividing by the same number each time.

2. Test the relationship Compare several pairs. Ask yourself:

   • Is the output a constant number more or less than the input?
   • Is the output a multiple of the input?
   • Does the output change in a regular step?

3. Use the rule on new inputs Once the pattern is clear, apply the same operation to each input to find the missing output. If the table asks for an input from a known output, reverse the operation.

4. Simplify the final answer Write the result clearly and reduce it if needed. For example, if the result comes from multiple steps, combine them into one simplified answer.

Check your work

• Substitute your answer back into the rule.
• Make sure it matches the output in the table.
• If the table has several rows, verify that the same rule works for every pair.

A good input-output table answer is consistent, accurate, and easy to follow.