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Example Questions
Example Question #1 : Algebra 1
What is the solution of 3x = 9?
1/3
–6
6
3
–3
3
When solving a one step equation like this, we do the inverse operation to isolate the variable. In this case, we have 3x = 9, so we divide both sides by 3 to get x = 3.
3x = 9
(3x)/3 = (9)/3
x = 3
Example Question #1 : Algebra 1
Identify the imaginary part of the following complex number:
A complex number in its standard form is of the form: , where
stands for the real part and
stands for the imaginary part. The symbol
stands for
.
The imaginary part is .
Example Question #2 : Algebra 1
Find the conjugate of .
The conjugate is so that when
is multiplied by its conjugate we get
Since
we get
.
Example Question #4 : Algebra 1
Identify the real part of .
A complex number in its standard form is of the form: , where
stands for the real part and
stands for the imaginary part. The symbol
stands for
.
The real part is 0.
In this problem there is no real part. Hence the real part equals 0.
Example Question #1 : Algebra 1
Identify the imaginary part of .
A complex number in its standard form is of the form: , where
stands for the real part and
stands for the imaginary part. The symbol
stands for
.
The imaginary part equals based on the definition of a complex number in standard form which is
.
Example Question #6 : Algebra 1
Identify the conjugate of .
The conjugate of an imaginary number is the opposite of the given imaginary part. For example the conjugate of is
and conjugate of
equals
Example Question #1 : Algebra 1
Find the conjugate of .
Since is a real number its conjugate is also
.
Example Question #8 : Algebra 1
Solve for :
None of the available answers
First we will add to both sides.
Then we will multiple both sides by to isolate
.
Example Question #1 : Algebra 1
Solve for :
Example Question #2 : Algebra 1
What is the value of ?
Simplifying for gives you
. Thus, the value of
is 3.
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