2/23/25, 1:29 PM
Alef Frontend
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Question 1
Drag and drop your answer into the blank.
The product of
3i
and
−2 i
is 6
.
−6 i
6i
−
6
Question 2
Drag and drop your answer into the blank.
The products of imaginary numbers
4i
and
7i
will be
− 28
.
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2/23/25, 1:29 PM
Alef Frontend
13
28
− 13
Question 3
Choose the correct answer.
What is the value of
32
i
?
−i
1
i
−1
Question 4
Select your answer from the drop-down menu.
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2/23/25, 1:29 PM
Alef Frontend
Simplify
−5 =
i 5
.
Question 5
Select your answer from the drop-down menu.
When we solve
2
x = − 144
we get
x=
12 i
or
x=
− 12 i
.
Question 6
Drag and drop your answer into the blank.
The solution to the quadratic equation
2
x + 100 = 0
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2/23/25, 1:29 PM
is
Alef Frontend
x = − 10 i and x = 10 i
.
x = − 10 and x = 10
x = − 5 and x = 5
x = − 5 i and x = 5 i
Question 7
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4/15
2/23/25, 1:29 PM
Alef Frontend
Choose the correct answer.
Which of the following choices indicates the real component in
− 10 + i
?
− 10
−
i
i
10
Question 8
Drag and drop your answer into the blank.
In a number written in the form
a + bi
,
bi
is the imaginary component
.
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2/23/25, 1:29 PM
Alef Frontend
integer
real number
complex number
Question 9
Drag and drop your answer into the blank.
When simplifying
− 36
in terms of
i
, we get
6i
.
i
6
−6
6
Question 10
Fill in the blank.
The quadratic equation
2
3 x + 75 = 0
can be solved.
The solution is:
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2/23/25, 1:29 PM
Alef Frontend
x=
− 5i
and
x = 5i
.
Question 11
Select your answer from the drop-down menu.
The only item in the given list which is not a pure imaginary number is
45
.
Question 12
Drag and drop your answer into the blank.
Pure imaginary numbers are square roots of negative real numbers
real numbers
fractions
.
whole numbers
Question 13
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7/15
2/23/25, 1:29 PM
Alef Frontend
Select your answer from the drop-down menu.
−4 i
The pure imaginary number is
.
Question 14
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The product of
2i
and
−5 i
is
10
.
10 i
− 10 i
− 10
Question 15
Enter your answer in the blank.
The value of
2
3
(i ) · (4 i )
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2/23/25, 1:29 PM
is
Alef Frontend
64 i
.
Question 16
Select the correct answer.
Amna and Bashayer want to find the solution to the quadratic equation,
2
4 x + 64 = 0
. Their solutions are shown below.
Amna
Bashayer
4 x 2 + 64 = 0
4 x 2 + 64 = 0
x 2 + 16 = 0
x 2 + 16 = 0
x 2 = − 16
x = ± − 16
x = ± 4i
Solution:
x = − 4 i and x = 4 i
( x ) 2 − (− 16 ) 2 = 0
( x − 16 i ) ( x + 16 i ) = 0
x − 16 i = 0
or x + 16 i = 0
Solution:
x = − 16 i and x = 16 i
Who is correct?
Neither girl is correct.
Only Amna is correct.
Both Amna and Bashayer are correct.
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9/15
2/23/25, 1:29 PM
Alef Frontend
Only Bashayer is correct.
Question 17
Choose the correct answer.
Which of the following choices indicates the real component in
− 15 + i
?
−
i
− 15
i
15
Question 18
Drag and drop your answer into the blank.
When simplifying
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10/15
2/23/25, 1:29 PM
Alef Frontend
− 121
in terms of
i
, we get
11 i
.
− 11
i
11
11
Question 19
Choose the correct answer.
The step that should follow during simplification
2
23 − 2 i − 24 i
is:
23 − 26 i
23 − (2 + 24 ) (i )
23 − i (2 − 24 i )
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11/15
2/23/25, 1:29 PM
Alef Frontend
23 − 2 i − ( 24 ) (− 1)
Question 20
Select your answer from the drop-down
menu.
The value of
8
21
i +i
is
1 +i
, when we use the
property of
i
as shown in the given image.
Question 21
Enter your answer in the blank.
The value of
2
3
(2 i ) · (3 i )
is
54 i
.
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12/15
2/23/25, 1:29 PM
Alef Frontend
Question 22
Drag and drop your answer into the blank.
The products of imaginary numbers
8i
and
6i
− 48
will be
.
14
− 14
48
Question 23
Choose the correct answer.
The value of
4 2
(i )
is :
i
−1
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2/23/25, 1:29 PM
Alef Frontend
1
−i
Question 24
Choose the correct answer.
The value of
5 2
(i )
is :
−i
1
−1
i
Question 25
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2/23/25, 1:29 PM
Alef Frontend
Drag and drop your answer into the blank.
A square root of
− 81
is
9i
.
− 81 i
81
81 i
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