Complex and Imaginary Numbers Test

Authored by Jill Davis

Mathematics

11th Grade

CCSS covered

Used 12+ times

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21 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify:

$\sqrt{-49}$

$7$

$-7$

$49i$

$7i$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the Equation:

$x^2=-25$

$x=5,\ x=-5$

$x=-5$

$x=i,\ x=5$

$x=5i,\ x=-5i$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the expression as a complex number in standard form.

$\left(2+i\right)+\left(3+2i\right)$

$3i+5$

$5+3i$

$4+7i$

$-1-i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the expression as a complex number in standard form.

$\left(5+i\right)-\left(3-5i\right)$

$20-8i$

$8-4i$

$2-3i$

$2+6i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the expression as a complex number in standard form.

$\left(1+i\right)\left(2+5i\right)$

$-2+7i$

$6+7i$

$3+6i$

$-1-4i$

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$i^6$

-i

-1

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$i^{48}$

-i

-1

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The imaginary number i equals

$-1$

$\sqrt[]{-1}$

$1$

$\sqrt[]{1}$

Any number; i is a variable.

Tags

CCSS.HSN.CN.A.1

FILL IN THE BLANKS QUESTION

1 min • 1 pt

$i^2=?$

(a)

Tags

CCSS.HSN.CN.A.1

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True or False: All powers of i can be rewritten as either $i,\ i^2,\ i^3,\$ or $i^4$

True

False

Tags

CCSS.HSN.CN.A.2

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Complex and Imaginary Numbers Test

Simplify: −49\sqrt{-49}−49​

Solve the Equation: x2=−25x^2=-25x2=−25

Write the expression as a complex number in standard form.﻿ (2+i)+(3+2i)\left(2+i\right)+\left(3+2i\right)(2+i)+(3+2i)

Write the expression as a complex number in standard form.﻿ (5+i)−(3−5i)\left(5+i\right)-\left(3-5i\right)(5+i)−(3−5i)

Write the expression as a complex number in standard form.﻿ (1+i)(2+5i)\left(1+i\right)\left(2+5i\right)(1+i)(2+5i)

i6i^6i6

i48i^{48}i48

The imaginary number i equals

i2=?i^2=?i2=? (a)

True or False: All powers of i can be rewritten as either i, i2, i3, i,\ i^2,\ i^3,\ i, i2, i3, or i4i^4i4

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Simplify:

$\sqrt{-49}$

Solve the Equation:

$x^2=-25$

Write the expression as a complex number in standard form.

$\left(2+i\right)+\left(3+2i\right)$

Write the expression as a complex number in standard form.

$\left(5+i\right)-\left(3-5i\right)$

Write the expression as a complex number in standard form.

$\left(1+i\right)\left(2+5i\right)$

$i^6$

$i^{48}$

$i^2=?$

(a)

True or False: All powers of i can be rewritten as either $i,\ i^2,\ i^3,\$ or $i^4$