Lesson 12-6: Understand and Use Cube Roots — Practice Questions

1. 1. What is the value of $\sqrt[3]{64}$? The answer is ___.

2. 2. Which of the following numbers is a perfect cube?

   • A. 50
   • B. 216
   • C. 144
   • D. 25

3. 3. Given that $10^3 = 1000$, what is the value of $\sqrt[3]{1000}$? The value is ___.

4. 4. The number 343 is a perfect cube. What is its cube root?

   • A. 7
   • B. 9
   • C. 13
   • D. 49

5. 5. Evaluate the expression $\sqrt[3]{1}$. The result is ___.

6. 6. What is the value of $\sqrt[3]{-27}$? The answer is ___.

7. 7. Which expression is equivalent to $\sqrt[3]{-64}$?

   • A. $-\sqrt[3]{64}$
   • B. $\sqrt[3]{64}$
   • C. 8
   • D. -8

8. 8. If $x^3 = -1$, what is the value of $x$? The value is ___.

9. 9. Which statement correctly describes the cube root of any negative number?

   • A. The cube root is always a positive number.
   • B. The cube root is always a negative number.
   • C. The cube root does not have a real value.
   • D. The cube root is zero.

10. 10. Calculate the cube root of -1000. The answer is ___.