Worksheet: Cube Root of an Integer

In this worksheet, we will practice finding the cube root of a perfect cube integer and using that concept to solve word problems.

Q1:

What is the edge length of a cube whose volume is 64 cm3?

  • A16
  • B2
  • C8
  • D4

Q2:

Evaluate 3 2 7 .

Q3:

Evaluate 1 2 5 1 3 .

Q4:

Calculate 8 7 2 9 .

  • A 8 9
  • B 2 7 2 9
  • C 2 2 7
  • D 2 9
  • E 2 3

Q5:

Find the value of 4 7 .

Q6:

Solve 𝑥 + 5 = 9 3 .

  • A 𝑥 = 1 4 , 𝑥 = 1 4
  • B 𝑥 = 1 4 3 , 𝑥 = 1 4 3
  • C 𝑥 = 1 4 3
  • D 𝑥 = 4 3
  • E 𝑥 = 4 , 𝑥 = 4

Q7:

Find the value of 1 2 5 .

Q8:

Find the value of 5 5 2 1 6 .

  • A 6 5 5
  • B 6 5 5
  • C 3 3 0
  • D 3 3 0
  • E330

Q9:

If 𝑥 , 𝑦 4 = 8 , 4 , find the values of 𝑥 and 𝑦 .

  • A 𝑥 = 6 , 𝑦 = 2
  • B 𝑥 = 2 , 𝑦 = 6
  • C 𝑥 = 4 , 𝑦 = 6
  • D 𝑥 = 2 , 𝑦 = 6

Q10:

Solve 𝑥 = 9 3 .

  • A 𝑥 = 9 3 , 𝑥 = 9 3
  • B 𝑥 = 3 , 𝑥 = 3
  • C 𝑥 = 3
  • D 𝑥 = 9 3
  • E 𝑥 = 3 3 , 𝑥 = 3 3

Q11:

Solve 𝑥 = 3 1 0 3 .

  • A 𝑥 = 3 1 0 3 , 𝑥 = 3 1 0 3
  • B 𝑥 = 3 1 0 , 𝑥 = 3 1 0
  • C 𝑥 = 3 1 0
  • D 𝑥 = 3 1 0 3
  • E 𝑥 = 3 1 0 , 𝑥 = 3 1 0

Q12:

Find the solution set of 𝑥 = 7 in .

  • A 7 , 7
  • B 7
  • C 7
  • D 7

Q13:

Is 1 2 1 greater than, equal to, or less than 4 2 ?

  • Aequal to
  • Bless than
  • Cgreater than

Q14:

Express 8 7 5 6 4 8 + 5 1 2 + 4 4 8 in its simplest form.

  • A 7
  • B 9 7
  • C 7
  • D 9 7

Q15:

Find the value of ( 0 . 0 2 7 ) .

  • A 0 . 3
  • B 0 . 0 9
  • C0.3
  • D0.09
  • E0.027

Q16:

The cube root of a number 𝑧 is 4 𝑥 𝑦 . Write this root in the form 𝑧 .

  • A 1 2 𝑥 𝑦
  • B 4 𝑥 𝑦
  • C 6 4 𝑥 𝑦
  • D 6 4 𝑥 𝑦
  • E 1 2 𝑥 𝑦

Q17:

Find the value of 3 1 2 5 .

Q18:

If 𝑥 7 , 𝑦 6 = 1 , | | 6 4 | | , find ( 𝑦 , 𝑥 ) .

  • A ( 2 , 2 )
  • B ( 6 4 , 1 )
  • C ( 6 4 , 2 )
  • D ( 1 0 , 2 )

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