cube roots - Common Core: 8th Grade Math
Card 0 of 7
Which of the following displays the full real-number solution set for 
in the equation above?
Which of the following displays the full real-number solution set for 
Rewriting the equation as 
, we can see there are four terms we are working with, so factor by grouping is an appropriate method. Between the first two terms, the Greatest Common Factor (GCF) is 
and between the third and fourth terms, the GCF is 4. Thus, we obtain 
. Setting each factor equal to zero, and solving for 
, we obtain 
from the first factor and 
from the second factor. Since the square of any real number cannot be negative, we will disregard the second solution and only accept 
.
Rewriting the equation as
Compare your answer with the correct one above
Solve for 
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the 
on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
Compare your answer with the correct one above
Solve for
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
Compare your answer with the correct one above
Solve for
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
Compare your answer with the correct one above
Solve for
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cube root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cube root:
Compare your answer with the correct one above
Solve for
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cubed root:
Compare your answer with the correct one above
Solve for
Solve for
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to 
"
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the on one side of the equation. Remember that operations done to one side of the equation must be performed on the opposite side.
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cube root:
We can solve this problem one of two ways: first we can ask ourselves the question:
"What number cubed is equal to
If you aren't sure of the answer to this question, then you can solve the problem algebraically.
In order to solve this problem using algebra, we need to isolate the
We will solve this equation by performing the opposite operation of cubing a number, which is taking the cube root:
Compare your answer with the correct one above