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Complex Numbers Practice

Authored by Jacqueline Bagarozza

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

Complex Numbers Practice
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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify the radical.

−2−120-2\sqrt{-120}

−4i30-4i\sqrt{30}

4i304i\sqrt{30}

20i1220i\sqrt{12}

−20i12-20i\sqrt{12}

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Multiply the following. Write the product in simplest form.

3−5⋅−4153\sqrt{-5}\cdot-4\sqrt{15}

127512\sqrt{75}

−12i75-12i\sqrt{75}

−60i3-60i\sqrt{3}

−60i15-60i\sqrt{15}

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

CCSS.HSN.RN.A.2

3.

MATCH QUESTION

3 mins • 1 pt

Match the following.

2i−8−(−2+i)2i-8-(-2+i)

−6+i-6+i

−5−4i+8−7i-5-4i+8-7i

−7+15i-7+15i

2−(−4+6i)+32-(-4+6i)+3

2−14i2-14i

6i+6i−(7−3i)6i+6i-(7-3i)

9−6i9-6i

4−8i−2−6i4-8i-2-6i

3−11i3-11i

Tags

AII.9-12.7.A

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Add the following complex numbers. Write your answer in standard form.

(6−2i)+(−4−5i)\left(6-2i\right)+\left(-4-5i\right)

10−7i10-7i

−7i+2-7i+2

−34−22i-34-22i

2−7i2-7i

Tags

CCSS.HSN.CN.A.2

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Subtract the following. Write your answer in standard form.

(8+4i)−(−2+5i)\left(8+4i\right)-\left(-2+5i\right)

10−i10-i

−36+32i-36+32i

10+9i10+9i

6+9i6+9i

Tags

CCSS.HSN.CN.A.2

6.

CATEGORIZE QUESTION

5 mins • 1 pt

Categorize each power of i.

Groups:

(a) i

,

(b) -1

,

(c) -i

,

(d) 1

i44i^{44}  

i43i^{43}  

i40i^{40}  

i67i^{67}  

i74i^{74}  

i58i^{58}  

i36i^{36}  

i41i^{41}  

i53i^{53}  

i13i^{13}  

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Multiply the following.

−2i9(−10+7i23)-2i^9\left(-10+7i^{23}\right)

34i34i

20+14i20+14i

−14+20i-14+20i

20i9−14i3220i^9-14i^{32}

Tags

CCSS.HSN.CN.A.2

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