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Eleventh Grade (Grade 11) Complex Numbers Questions

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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 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 CCSS: HSN-CN.C.8

$x - 3/2 + 3/2sqrt(3) \ i$ is a factor of

$x^3 + 27$ , which of the following are also factors of this polynomial?

$x - 3$
$x + 3/2 - 3/2 sqrt(3)$
$x - 3/2 - 3/2 sqrt(3) \ i$
$x + 3/2 - 3/2 sqrt(3) \ i$

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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Eleventh Grade (Grade 11) Complex Numbers Questions