Complex Numbers Test Quiz

Authored by Rickey Taylor

Mathematics

12th Grade

CCSS covered

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101 questions

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MULTIPLE CHOICE QUESTION

10 sec • 1 pt

If $x^2=9$ , then

x equals 3 only

x equals -3 only

$x=\pm3$

$x=\pm9$

x equals 9 only

Tags

CCSS.8.EE.A.2

MULTIPLE CHOICE QUESTION

10 sec • 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

MATCH QUESTION

30 sec • 1 pt

Match the following problems with their correct answer

b. $x=\pm10i$

$x^2=-36$

d. $x=\pm6$

$x^2=-100$

c. $x=\pm10$

$x^2=36$

a. $x=\pm6i$

$x^2=100$

Tags

CCSS.8.EE.A.2

FILL IN THE BLANKS QUESTION

10 sec • 1 pt

$i^2=?$

(a)

Tags

CCSS.HSN.CN.A.1

MULTIPLE SELECT QUESTION

20 sec • 1 pt

Which of the following is a complex number in standard form? Select all that apply.

$3+2i$

$19i-10$

$\frac{1}{3}-\frac{2}{5}i$

$17i+16i^2$

$4-3i$

Tags

CCSS.HSN.CN.A.1

FILL IN THE BLANKS QUESTION

10 sec • 1 pt

The imaginary number represents $\sqrt[]{-1}$ and is represented by the letter (a)

Tags

CCSS.HSN.CN.A.1

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

$\left(11-3i\right)\left(2+i\right)$

$22-3i$

$19-5i$

$25+5i$

$3+22i$

Answer explanation

$\left(11-3i\right)\left(2+i\right)$
$22+11i-6i-3i^2$
$22+11i-6i-3\left(-1\right)$
$22+11i-6i+3$
$25+5i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

$3i\left(4-5i\right)$

$-12-15i$

$15+12i$

$12+15i$

$-15+12i$

Answer explanation

$3i\left(4-5i\right)$
$12i-15i^2$
$12i-15\left(-1\right)$
$12i+15$
$15+12i$

Tags

CCSS.HSN.CN.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

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

$5$

$4-i$

$5+4i$

$3+4i$

Answer explanation

$\left(2+i\right)^2$
$\left(2+i\right)\left(2+i\right)$
$4+2i+2i+i^2$
$4+2i+2i-1$
$3+4i$

Tags

CCSS.HSN.CN.C.8

10.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

$\left(5-6i\right)\left(5+6i\right)$

$61$

$-11-60i$

$11$

$11+60i$

Answer explanation

$\left(5-6i\right)\left(5+6i\right)$
$25-30i+30i-36i^2$
$25-30i+30i-36\left(-1\right)$
$25-30i+30i+36$
$61$

Tags

CCSS.HSN.CN.C.8

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Complex Numbers Test

If x2=9x^2=9x2=9 , then

The imaginary number i equals

Match the following problems with their correct answer

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

Which of the following is a complex number in standard form? Select all that apply.

The imaginary number represents −1\sqrt[]{-1}−1​ and is represented by the letter (a)

(11−3i)(2+i)\left(11-3i\right)\left(2+i\right)(11−3i)(2+i)

(11−3i)(2+i)\left(11-3i\right)\left(2+i\right)(11−3i)(2+i) 22+11i−6i−3i222+11i-6i-3i^222+11i−6i−3i2 22+11i−6i−3(−1)22+11i-6i-3\left(-1\right)22+11i−6i−3(−1) 22+11i−6i+322+11i-6i+322+11i−6i+3 25+5i25+5i25+5i

3i(4−5i)3i\left(4-5i\right)3i(4−5i)

3i(4−5i)3i\left(4-5i\right)3i(4−5i) 12i−15i212i-15i^212i−15i2 12i−15(−1)12i-15\left(-1\right)12i−15(−1) 12i+1512i+1512i+15 15+12i15+12i15+12i

(2+i)2\left(2+i\right)^2(2+i)2

(2+i)2\left(2+i\right)^2(2+i)2 (2+i)(2+i)\left(2+i\right)\left(2+i\right)(2+i)(2+i) 4+2i+2i+i24+2i+2i+i^24+2i+2i+i2 4+2i+2i−14+2i+2i-14+2i+2i−1 3+4i3+4i3+4i

(5−6i)(5+6i)\left(5-6i\right)\left(5+6i\right)(5−6i)(5+6i)

(5−6i)(5+6i)\left(5-6i\right)\left(5+6i\right)(5−6i)(5+6i) 25−30i+30i−36i225-30i+30i-36i^225−30i+30i−36i2 25−30i+30i−36(−1)25-30i+30i-36\left(-1\right)25−30i+30i−36(−1) 25−30i+30i+3625-30i+30i+3625−30i+30i+36 616161

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If $x^2=9$ , then

$i^2=?$

(a)

The imaginary number represents $\sqrt[]{-1}$ and is represented by the letter (a)

$\left(11-3i\right)\left(2+i\right)$

$\left(11-3i\right)\left(2+i\right)$
$22+11i-6i-3i^2$
$22+11i-6i-3\left(-1\right)$
$22+11i-6i+3$
$25+5i$

$3i\left(4-5i\right)$

$3i\left(4-5i\right)$
$12i-15i^2$
$12i-15\left(-1\right)$
$12i+15$
$15+12i$

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

$\left(2+i\right)^2$
$\left(2+i\right)\left(2+i\right)$
$4+2i+2i+i^2$
$4+2i+2i-1$
$3+4i$

$\left(5-6i\right)\left(5+6i\right)$

$\left(5-6i\right)\left(5+6i\right)$
$25-30i+30i-36i^2$
$25-30i+30i-36\left(-1\right)$
$25-30i+30i+36$
$61$