Name ____________________
Time: ________
Date ___ / ___ / ___
Score ________
ComplexNumber (Number Dojo Level TBD)
High School Worksheet Set F
Instructions: Give yourself 5 minutes to complete as many problems as you can. Score this worksheet like a
Number Sense test, giving yourself 5 points for every correct answer, less 4 points for every skipped or incorrect
answer. High score is a 200.
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(3 – i)(4 + i) = a + bi and a = ____
If (i6)(2 – 3i) = a + bi, then b = ______
(1 + i)3 = a + bi and a = ________
If i9(3 + 5i) = a + bi, then a = _______
If (4 – 5i)(4 + 5i) = a + bi, find a + b. _____
(3 + i2)(4 – i2) = __________
If i(2 – i)(2 + i) = a + bi, then a = ____
If (3 – 4i)(2 + 3i) = a + bi, then a = ______
(i)13 x (1 + i)(2 + i) = a + bi and a = ______
(3 + 4i)(4 – 3i) = a + bi. Find a + b. ______
(1 + i)2 = a + bi and b = ________
If (4 + i)(3 – 2i) = a + bi, then a = ____
If (2 – 3i)(3 – 2i) = a + bi, then a = ___
The conjugate of 3 + 4i is a + bi. Find a + b. _____
If (4 – 3i)2 = a + bi, then a = ____
(3 – 2i)2 = a + bi and a = _______
If (a + 2i)(3 – 4i) = 11 + 2i, then a = _____
If (4 – 3i)(2 – 5i) = a + bi, then a = ___
(3 – 7i)(5 – 2i) = a + bi. Find a – b. ______
(2 – 3i)(4 – 5i) = (a + bi). Find ab. ______
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(5 + 6i)(5 – 6i) = (a + bi). Find (a + b). ____
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(2 – 3i)(4 – 5i) = (a + bi). Find (a + b). ____
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(-2 + 5i)(7 + 3i) = (a + bi). Find a + b. ____
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(2 + 3i) ÷ 5i = (a + bi). Find (a + b). ______
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(1 – 3i)(6 + 10i) = a + bi. Find a + b.
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(4 + 2i)(1 – 3i) = a + bi. Find b. _____
(2 + 3i)2 = a + bi and a = _______
If (5 – 2i)(3 – 4i) = a + bi, then a = ______
(5 – 2i)(5 + 2i) = a + bi. a = _____
(2 – 5i)(3 + 2i) = a + bi. Find a + b. ______
(3 + 2i)2 = a + bi. Find b. _______
(3 – 4i)2 = a + bi. Find a + b. ____
(3 + 2i)(4 + 5i) = a + bi. Find a + b. ______
(5 + 7i)(5 – 7i) = a + bi. Find a. _____
(3 + 2i)(3 – 2i) = __________
Let (3i)(i3) = a + bi. Find a + b. _____
(3 + 5i)(3 – 5i) = __________
If (4 + i)(3 – 2i) = a + bi, then a + b = _____
(3 – 4i)(3 + 4i) = __________
Let (3 + i)(3 – i) = a + bi. Find a + b. _____
- - - - - - - - - - - - - - - Fold the bottom portion under - - - - - - - - - - - - - - Answer Key
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13
3
-2
-5
41
10
0
18
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11)
12)
13)
14)
15)
16)
-3
31
2
14
0
-1
7
5
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1
-7
42
154
61
-29
0
1/5 or .2
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29)
30)
31)
32)
28
-10
-5
7
29
5
12
-31
© 2016 by Number Dojo, www.NumberDojo.com
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64
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3
34
9
25
10