6th Grade Math (Math 6) · Chapter 10 · Lesson 10.6 · Printable PDF

Functions as Input-output Rules Worksheet with Answer Key

7 problems on functions as input-output rules: finding outputs, completing tables, writing a rule in words and symbols, fence posts and rails, deciding what is a function, two machines in a row, and a secret number. 3 pages, with a worked answer key.

7 problems3 pagesanswer key
Printable Functions as input-output rules worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the output of each machine for the input given.
    Rule "multiply by 6, then subtract 4"; input 9Rule \dfrac{x}{4} + 3; input 20Rule "add 5, then multiply by 3"; input 1.5Rule x^2 + 1; input 6Rule "subtract the input from 30"; input 12
  2. Complete a table for a machine that multiplies by 4 and adds 3.
  3. Find a rule that fits each table of machine runs and predict new outputs.
  4. Word problem: write the rule for posts and rails for a fence with some sections.
  5. Decide whether each instruction is a function, and say how it fails if not.
  6. Find the single rule for two machines placed in a row.
  7. Find the secret number in a machine that multiplies and then adds 3.

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Functions as input-output rules: the lesson ›