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Complex Numbers Questions - All Grades

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Grade 11 Complex Numbers CCSS: HSN-CN.A.2

Evaluate the complex number expression

$(15i^40)^3$ .

$3375$
$-3375$
$3375i$
$-3375i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.2

After expanding

$(10-15i)(10+15i)$ , what will the imaginary part be?

$150i$
$300i$
$-300i$
$0$

Grade 11 Complex Numbers CCSS: HSN-CN.B.4

The complex number

$1+i$ is in which quadrant?

$I$
$II$
$III$
$IV$

Grade 11 Complex Numbers CCSS: HSN-CN.A.2

Simplify.

$i^26$

$i^2$
$i$
$1$
$-1$

Grade 11 Complex Numbers CCSS: HSN-CN.A.2

Add or subtract the complex number expression:

$(10+12i)-(14-9i)$ .
This not the FOIL method. Write your answer in the correct complex number form.
-4+21i

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

Divide and simplify the complex number expression.

$(9i)/(-14+105i)$

$-135/1603-18/1603i$
$-135/1603+18/1603i$
$135/1603-18/1603i$
$135/1603+18/1603i$

Grade 11 Complex Numbers CCSS: HSN-CN.B.6

Which of the listed complex numbers, when represented by a point in the complex plane, is both equidistant and collinear with the complex numbers represented by points A and K?

$3i$
$1 + 3/2 i$
$1/2 + 3i$
$3 + 1/2 i$

Grade 11 Complex Numbers CCSS: HSN-CN.B.6

$-3 - 9i$ and

$3 + i$ are plotted on the complex plane, and a line segment is created by joining these two points, what is the midpoint of this line segment?

$-2 - 5i$
$-4i$
$2 + 5i$
$3/2 - 92 i$

Grade 11 Complex Numbers CCSS: HSN-CN.B.5

This question is a part of a group with common instructions. View group »

What is the product of

$z_1$ and

$z_2 ?$

$8 + 8i$
$8 - 8i$
$-16 + 8i$
$3 + 7i$

Grade 11 Complex Numbers CCSS: HSN-CN.B.5

Let x represent the real axis and y the imaginary axis in the graph below. Given the complex number

$3i$ , represented by A, which of the following represents its conjugate?

E
F
G
Its conjugate is not represented by any given value on this graph.

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

Divide.

$(-10 + 3i)/(2-8i)$

$11/15 + 37/30 i$
$- 11/17 - 37/34 i$
$-5 - 3/8 i$
$1/17 - 37/34 i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

$z$ is a complex number, and

$|z| = 5$ , which of the following are possible values of

$z ?$ Choose all correct answers.

$z = 4 + i$
$z = 3 - 4i$
$z = 10 - 5i$
$z = 4 + 3i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

Which of the following are possible values of

$z$ , a complex number, if

$|z| = sqrt(13) ?$ Choose all correct answers.

$z = 2 - 3i$
$z = -3 - 2i$
$z = 2 + 3i$
$z = 2sqrt(3) + i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

What is the complex conjugate of

$20-6i$ ?

$20-6i$
$-20+6i$
$20+6i$
$-20-6i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

Multiply

$1-1i$ by its conjugate.

$1i$
$1$
$2$
$2i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

Divide and simplify the following complex number expression.

$(-5-9i)/(9+8i)$

$-117/145+41/145i$
$-117/145-41/145i$
$117/145+41/145i$
$117/145-41/145i$

Grade 11 Complex Numbers CCSS: HSN-CN.A.2

Expand and simplify.

$(10-7i)(10+7i)$

$149$
$-149i$
$100 - 49i$
$140i^2$

Grade 11 Complex Numbers CCSS: HSN-CN.A.2

Add or Subtract the complex number expression:

$(120+140i)-(30-20i)$ . This is not the FOIL method. Write your answer is the correct complex number form.
90+160i

Grade 11 Complex Numbers CCSS: HSN-CN.A.3

The complex conjugate of

$-14+105i$ is

$14-105i$ .

True
False

Grade 11 Complex Numbers CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b

Solve:

$x^2+64=0$

$x = -64, 64$
$x = -8i, 8i$
$x = -64i, 64i$
$x = -8, 8$

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Complex Numbers Questions - All Grades