Free Variable vs. Bound Variable


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question 1 of 3

Which variable in this expression is a free variable?
  • For all positive x and positive y, w = xy / z

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1. Which of the following is an expression showing a bound variable?

2. Which variable in this expression is bound?
  • z = (x + 2)(y - 2)(w / 2)

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About This Quiz & Worksheet

These assessments will quiz your understanding of free and bound variables. Questions will cover important concepts from the lesson, such as an example of a free variable in an expression and an example of an expression showing a bound variable.

Quiz & Worksheet Goals

The quiz/worksheet will test you in the following areas:

  • Identifying the bound variable in a given expression
  • Characteristic of free variables
  • Finding a different expression with the same result as a given expression

Skills Practiced

  • Problem solving - use acquired knowledge to solve bound variable practice problems
  • Knowledge application - use your knowledge to answer questions about examples of a free variable and a bound variable in an expression
  • Information recall - access the knowledge you've gained regarding an attribute of a free variable

Additional Learning

Learn more about variables in expressions with the lesson called Free Variable vs. Bound Variable. Here are some of the key topics to consider as you review the material:

  • Differences between free and bound variables
  • Switching out free variables to change an expression
  • Criteria for a bound variable in an expression