Imaginary Numbers Quiz

Authored by Harmony Estabrook

Mathematics

11th - 12th Grade

CCSS covered

Used 23+ times

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9 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following statements is TRUE?

$\sqrt[]{-1}$ is an imaginary number

Because $\sqrt[]{-1}$ is imaginary, no one does math with it

The equation $x^2=-1$ has real solutions

$\sqrt[]{-1}=-1\$ because $-1\times-1=-1$

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a REAL number?

$2i$

$-\ \sqrt[]{4}$

$\sqrt[]{-4}$

$2\times\sqrt[]{-1}$

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is $\left(6\times\sqrt[]{-1}\right)^2$ ?

-6

-36

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is an Imaginary number?

$-\ \sqrt[]{36}$

$6\times\sqrt[]{-1}$

$\pi$

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which is a solution to $\sqrt[]{6-x}+5=10$ ?

There are no real solutions

-19

Tags

CCSS.HSA.REI.A.2

OPEN ENDED QUESTION

5 mins • Ungraded

Explain why $\left(x-4\right)^2=-9$ has no real solutions

Evaluate responses using AI:

OFF

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is x=-64 a solution for?

$\sqrt[]{x}=-8$

$\sqrt[3]{x}=4$

$\sqrt[3]{x}=-4$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is $\left(\sqrt[]{-36}\right)^2$ ?

-36

-6

Tags

CCSS.HSN.CN.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is $\left(7\times\sqrt[]{-1}\right)^2$ ?

-7

-49

$49\times\sqrt[]{-1}$

Tags

CCSS.HSN.CN.C.8

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Imaginary Numbers

Which of the following statements is TRUE?

Which of the following is a REAL number?

What is (6×−1)2\left(6\times\sqrt[]{-1}\right)^2(6×−1​)2 ?

Which of the following is an Imaginary number?

Which is a solution to 6−x+5=10\sqrt[]{6-x}+5=106−x​+5=10 ?

Explain why (x−4)2=−9\left(x-4\right)^2=-9(x−4)2=−9 has no real solutions

Which of the following is x=-64 a solution for?

What is (−36)2\left(\sqrt[]{-36}\right)^2(−36​)2 ?

What is (7×−1)2\left(7\times\sqrt[]{-1}\right)^2(7×−1​)2 ?

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What is $\left(6\times\sqrt[]{-1}\right)^2$ ?

Which is a solution to $\sqrt[]{6-x}+5=10$ ?

Explain why $\left(x-4\right)^2=-9$ has no real solutions

What is $\left(\sqrt[]{-36}\right)^2$ ?

What is $\left(7\times\sqrt[]{-1}\right)^2$ ?