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Complex Numbers Questions - All Grades

You can create printable tests and worksheets from these Complex Numbers questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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

Add the complex numbers.

$(-3+7i) + (3 - i)$

$6i$
$6 + 8i$
$-6 + 6i$
$6 + 6i$

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

Subtract the complex numbers.

$3i - (-5 + 3i)$

$5$
$-5 - 6i$
$5 + 6i$
$-5$

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

Write the expression as a complex number in standard form.

$(3 - 5i)(1 + 3i)$

$3 - 15i$
$-2i + 4i$
$18 + 4i$
$15 - 2i$

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

Evaluate.

$(5 - 6i) - (-3 + 9i)$

$2 + 3i$
$2 - 3i$
$8 - 15i$
$8 + 3i$

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

Divide the complex numbers.

$(-13+i) / (4+4i$

$"Undefined"$
$-13/4 + 1/4 i$
$- 3/2 + 7/4 i$
$-7/4 + 7/4 i$

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

Divide the complex numbers.

$(8-8i) / (2-2i)$

$"Undefined"$
$0$
$4$
$4-4i$

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

Multiply the complex numbers. Leave in the form

$a+bi$ .

$(8 - 2i) (3i)$

$24 - 6i$
$-6 + 24i$
$6 + 24i$
$24 + 6i$

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

Divide the complex numbers.

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

$22/65 + 19/65 i$
$3/8 - 2i$
$22/63 + 9/63 i$
$-13/8$

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

Evaluate.

$(9-3i) / (-6-3i)$

$0$
$-1+i$
$1-i$
$-5/3 + 5/3 i$

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

Add.

$(3-9i) + 4i$

$7-9i$
$3+13i$
$3-5i$
$3-13i$

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

Evaluate.

$(4 + 2i) / (1-2i)$

$4-i$
$2i$
$3$
$-(10i)/3$

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

Divide.

$(4i) / (12i)$

$1/3$
$-1/3 i$
$-1/3$
$1-1/3i$

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

What is the polar form of the complex number

$-5 ?$

$-5 \ (cos180° + i sin180°)$
$5 \ (cos0° + i sin0°)$
$5 \ (cos180° + isin180°)$
$"This is not a complex number."$

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

Find the sum of the complex numbers.

$i + 6i$

$6i$
$-6$
$5i$
$5$
$7i$
$-7$

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

Multiply and simplify the complex numbers.

$-6i(70-85i)$

$510+420i$
$510-420i$
$-510+420i$
$-510-420i$

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

Evaluate.

$3/(6i)$

$1/2 i$
$1+1/2 i$
$-1/2$
$-1/2 i$

Grade 11 Complex Numbers CCSS: HSN-CN.C.8

Factor

$x^4-1$ .

$(x^2+1)(x+1)(x+i)$
$(x+1)(x-1)(x+1+i)(x-1-i)$
$(x+1)(x-1)(x+i)(x-i)$
$(x+1)(x-1)(x+sqrt(2)i)(x-sqrt(2)i)$

Grade 10 Complex Numbers CCSS: HSN-CN.A.2

Simplify problem to discover product of

$(2 - i)(4 + 5i)$ in standard form.

$13 - 6i$
$8 + i$
$3 + 6i$
$13 + 6i$

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

Simplify the complex number expression

$3i^4+5i^6$ . Show your answer in the correct complex number form.

$2$
$-2$
$2i$
$-2i$

Grade 11 Complex Numbers

For each expression, select the most specific categorization possible.

	Real	Imaginary	Complex
$e^3 + pi$
$3i^2 + i$
$8i + 2i$
$-4^2$
$sqrt(-1) + sqrt(1)$
$(3i)^3$

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Complex Numbers Questions - All Grades