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 (8 + 6i) + (−2 + i). Write it as a + bi.
Answer
Question 2
Simplify i¹³.
- A. 1
- B. i
- C. −1
- D. −i
Question 3
Multiply (−2 + i)(−1 + 4i). Write it as a + bi.
Answer
Question 4
Simplify (−3 − 2i) + (−7 − 9i). Write it as a + bi.
Answer
Question 5
Simplify i²⁸.
- A. 1
- B. i
- C. −1
- D. −i
Question 6
Multiply (−1 + 3i)(−2 + i). Write it as a + bi.
Answer
Question 7
Simplify (−6 − 3i) + (−7 + 8i). Write it as a + bi.
Answer
Question 8
Simplify i⁹.
- A. 1
- B. i
- C. −1
- D. −i
Question 9
Multiply (5 + 3i)(2 + 5i). Write it as a + bi.
Answer
Question 10
Simplify (−5 − 7i) + (7 + 8i). Write it as a + bi.
Answer
Question 11
Simplify i¹⁸.
- A. 1
- B. i
- C. −1
- D. −i
Question 12
Multiply (−5 + 4i)(5 − 4i). Write it as a + bi.
Answer
Question 13
Simplify (−6 + 9i) + (−8 + 4i). Write it as a + bi.
Answer
Question 14
Simplify i²⁵.
- A. 1
- B. i
- C. −1
- D. −i
Question 15
Multiply (1 − i)(−3 + i). Write it as a + bi.
Answer
Question 16
Simplify (2 + 5i) − (−6 + 5i). Write it as a + bi.
Answer
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