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Theater Club: Set Sizes and Seat Blocks worksheet preview

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Theater Club: Set Sizes and Seat Blocks

Solve square and cube equations while checking theater sets and seat sales, and distinguish exact irrational roots from rational values.

Grade 8MathInteractive · Printable

Aligned to8.EE.A.2

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 8
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

  • Students evaluate square and cube roots of perfect squares and cubes.
  • Students solve square and cube equations and interpret solutions in theater planning contexts.
  • Students identify √2 as irrational and distinguish root expressions from equation solutions.

How to use

Use after introducing square and cube roots. Have students show calculations on scratch paper and discuss why physical lengths may exclude negative solutions.

Curriculum

Common Core standard covered

8.EE.A.2

Use square and cube root symbols to solve x^2 = p and x^3 = p, find roots of small perfect squares and cubes, and know root 2 is irrational.

Preview

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Name Date

Theater Club: Set Sizes and Seat Blocks

Use square and cube roots to check the club’s plans.

Check the Calculation Notes

Evaluate each expression or solve the equation. For square equations, include both real solutions unless the question asks otherwise.

1.
The set crew’s calculation sheet includes √289. What is the value of this expression?
  • A. The value is ±17.
  • B. The value is 144.5.
  • C. The value is 17.
  • D. The value is −17.
2.
A signed adjustment in the crew’s worksheet is written as a cube root.

∛(−512) =  

3.
Evaluate both roots before adding.

√49 + ∛8 =  

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