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Garden Club Market: Root Decisions worksheet preview

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Garden Club Market: Root Decisions

Use square and cube roots to solve equations, plan garden market supplies, and distinguish rational values from √2.

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 market contexts.
  • Students recognize that √2 is irrational and distinguish root values from equation solutions.

How to use

Use after introducing root notation. Have students show calculations on scratch paper and discuss why a length may have fewer acceptable values than its equation.

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

Garden Club Market: Root Decisions

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

Check the Planning Notes

Evaluate roots and solve equations from the garden club’s market planning sheet. Give exact values.

1.
Evaluate the two roots in the club’s calculation notes.

√400 =  ; ∛27 =  

2.
A practice entry includes a negative number under a cube root. Evaluate it.

∛(−8) =  

3.
Which entry correctly distinguishes a square root from the solutions of an equation?
  • A. √81 = 9; x² = 81 has solutions 9 and −9.
  • B. √81 = 9; x² = 81 has only the solution 9.
  • C. √81 = ±9; x² = 81 has solutions 9 and −9.
  • D. √81 = −9; x² = 81 has only the solution −9.

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