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Cube Roots: Classroom Packet

Grade 8 Algebra: Cube Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Perfect cubes

  1. 1. Evaluate:
    13\sqrt[3]{1}
  2. 2. Evaluate:
    5123\sqrt[3]{512}
  3. 3. Evaluate:
    196833\sqrt[3]{19683}
  4. 4. Evaluate:
    2621443\sqrt[3]{262144}
  5. 5. Evaluate:
    19531253\sqrt[3]{1953125}
  6. 6. Evaluate:
    100776963\sqrt[3]{10077696}
  7. 7. Evaluate:
    10000000003\sqrt[3]{1000000000}
  8. 8. Evaluate:
    403536073\sqrt[3]{40353607}

Answer Key

Level 1

  1. 1. 11
  2. 2. 88
  3. 3. 2727
  4. 4. 6464
  5. 5. 125125
  6. 6. 216216
  7. 7. 10001000
  8. 8. 343343

Grade 8 Algebra: Cube Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negatives and fractions

  1. 1. Evaluate:
    −83\sqrt[3]{-8}
  2. 2. Evaluate:
    −273\sqrt[3]{-27}
  3. 3. Evaluate:
    −1253\sqrt[3]{-125}
  4. 4. Evaluate:
    183\sqrt[3]{\tfrac{1}{8}}
  5. 5. Evaluate:
    8273\sqrt[3]{\tfrac{8}{27}}
  6. 6. Evaluate:
    0.0013\sqrt[3]{0.001}
  7. 7. Evaluate:
    −641253\sqrt[3]{-\tfrac{64}{125}}
  8. 8. Evaluate:
    0.0083\sqrt[3]{0.008}

Answer Key

Level 2

  1. 1. −2-2
  2. 2. −3-3
  3. 3. −5-5
  4. 4. 12\tfrac{1}{2}
  5. 5. 23\tfrac{2}{3}
  6. 6. 0.10.1
  7. 7. −45-\tfrac{4}{5}
  8. 8. 0.20.2

Grade 8 Algebra: Cube Roots

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Expressions with cube roots

  1. 1. Evaluate:
    83+273\sqrt[3]{8}+\sqrt[3]{27}
  2. 2. Evaluate:
    26432\sqrt[3]{64}
  3. 3. Evaluate:
    1253−25\sqrt[3]{125}-\sqrt{25}
  4. 4. Evaluate:
    −13+1\sqrt[3]{-1}+\sqrt{1}
  5. 5. Evaluate:
    10003⋅83\sqrt[3]{1000}\cdot\sqrt[3]{8}
  6. 6. Evaluate:
    2163−273\dfrac{\sqrt[3]{216}}{\sqrt[3]{-27}}
  7. 7. Evaluate:
    (53)3(\sqrt[3]{5})^3
  8. 8. Evaluate:
    23+193\sqrt[3]{2^3+19}

Answer Key

Level 3

  1. 1. 55
  2. 2. 88
  3. 3. 00
  4. 4. 00
  5. 5. 2020
  6. 6. −2-2
  7. 7. 55
  8. 8. 33