Subtraction of Radical Expressions (Olympics Themed) Worksheets

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A radical expression is a numerical expression or algebraic expression with radical symbol. 


To subtract radical expressions, you should remember the following:

  • The indices and the term inside the radical (called the radicand) must be exactly alike. 
  • If the indices and radicands are alike, then combine the terms in front of each like radical expressions
  • If the indices or radicands are not the same, then you can not subtract the radical expressions.


Solve for the difference of the following radical expression

(-2√2x – 5√2x) – 4√2x

Check if the indices and radicands are similar before performing addition. 

= (-2√2x – 5√2x) – 4√2x = (- 2 – 5)√2x – 4√2x

= – 7√2x – 4√2x = – 11√2x

Subtraction of Radical Expressions (Olympics Themed) Worksheets

This is a fantastic bundle which includes everything you need to know about Subtraction of Radical Expressions across 21 in-depth pages.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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Worksheets Activities Included

Ages 12-13 (Basic)

  • Welcome To Summer Olympics
  • The Torch Bearer
  • The Finest Volleyball Players
  • No Room for Turnovers
  • The Best Hockey Team

Ages 13-14 (Advanced)

  • Break a Leg
  • Bring Home the Bacon
  • The Olympic Medalists
  • Amazing Weightlifters
  • Chess Grandmasters