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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
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
OwlSheets.com
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.
- A. The value is ±17.
- B. The value is 144.5.
- C. The value is 17.
- D. The value is −17.
∛(−512) =
√49 + ∛8 =
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