Complex numbers
11th grade (Year 12 in England) · 16 questions · Common Core: HSN.CN.A.1, HSN.CN.A.2, HSN.CN.C.7
Name
Date
Score/ 16
Question 1
Simplify i³⁹.
- A. 1
- B. i
- C. −1
- D. −i
Question 2
Multiply (2 + 3i)(1 + 4i). Write it as a + bi.
Answer
Question 3
Simplify (6 + 9i) − (−9 + 2i). Write it as a + bi.
Answer
Question 4
Simplify i³².
- A. 1
- B. i
- C. −1
- D. −i
Question 5
Multiply (−3 + i)(3 + 2i). Write it as a + bi.
Answer
Question 6
Simplify (−8 − 5i) + (3i). Write it as a + bi.
Answer
Question 7
Simplify i²⁷.
- A. 1
- B. i
- C. −1
- D. −i
Question 8
Multiply (5 + 3i)(−2 − 2i). Write it as a + bi.
Answer
Question 9
Simplify (9 + 8i) − (−8 − 6i). Write it as a + bi.
Answer
Question 10
Simplify i¹⁸.
- A. 1
- B. i
- C. −1
- D. −i
Question 11
Multiply (−2 + 2i)(2 − 3i). Write it as a + bi.
Answer
Question 12
Simplify (−9 + 2i) + (2 + 9i). Write it as a + bi.
Answer
Question 13
Simplify i²².
- A. 1
- B. i
- C. −1
- D. −i
Question 14
Multiply (−3 − 2i)(−2 − 5i). Write it as a + bi.
Answer
Question 15
Simplify (−3 − 3i) − (2 + 4i). Write it as a + bi.
Answer
Question 16
Simplify i¹⁵.
- A. 1
- B. i
- C. −1
- D. −i
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