Imaginary & Complex numbers

Imaginary & Complex numbers

10th - 12th Grade

8 Qs

quiz-placeholder

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Imaginary & Complex numbers

Imaginary & Complex numbers

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

CCSS
HSN.CN.A.1, HSN.CN.A.3, HSA.APR.A.1

+5

Standards-aligned

Created by

Brad Paull

Used 12+ times

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8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calculate:
(4 − 7i) − (-3 + 6i)

7 − 13i
7 − i 
1 − 13i
1 − i 

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does i=  ?

1
-1
√-1
√1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Calculate (multiply):
 (4 + 3i)(4 − 3i)

16 − 9i2
25
7
8 − 6i

Tags

CCSS.HSN.CN.C.8

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Find the conjugate of:

5 + 7i

5 − 7i

-5 − 7i

5i - 7

5i + 7

Tags

CCSS.HSN.CN.A.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify (rationalize the denominator)

 3i5\frac{-3i}{5}  

 3i25i\frac{3i^2}{5i}  

 3i25i\frac{-3i^2}{-5i}  

 3i5i2\frac{3i}{5i^2}  

Tags

CCSS.HSN.CN.A.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify using the imaginary number  ii  
 20\sqrt{-20}  

 10i10i  

 10i-10i  

 2i52i\sqrt{5}  

 i20-i\sqrt{20}  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the solutions to the equation:

2x2 +23 = 5

x=3ix=3i

x=±3ix=\pm3i

x=3x=3

x=±3x=\pm3

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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