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Common Core HSN.CN.C.7 worksheet

High school · 16 questions · Common Core: HSN.CN.A.1, HSN.CN.A.2, HSN.CN.C.7

Name

Date

Score/ 16

  1. Question 1

    Multiply (−2 − 3i)(−3 + i). Write it as a + bi.

    Answer

  2. Question 2

    Simplify i¹⁶.

    • A. 1
    • B. i
    • C. −1
    • D. −i
  3. Question 3

    Simplify (−5i) + (−8 + 9i). Write it as a + bi.

    Answer

  4. Question 4

    Multiply (−4 − 2i)(−3 − 5i). Write it as a + bi.

    Answer

  5. Question 5

    Simplify i²⁸.

    • A. 1
    • B. i
    • C. −1
    • D. −i
  6. Question 6

    Simplify (7 − 8i) + (−7 + 9i). Write it as a + bi.

    Answer

  7. Question 7

    Multiply (−3 − 4i)(2 + i). Write it as a + bi.

    Answer

  8. Question 8

    Simplify i⁶.

    • A. 1
    • B. i
    • C. −1
    • D. −i
  9. Question 9

    Simplify (−8 + 9i) − (7 − 5i). Write it as a + bi.

    Answer

  10. Question 10

    Multiply (−5 + i)(4 + 4i). Write it as a + bi.

    Answer

  11. Question 11

    Simplify i³⁷.

    • A. 1
    • B. i
    • C. −1
    • D. −i
  12. Question 12

    Simplify (−2 − 7i) − (5 − 4i). Write it as a + bi.

    Answer

  13. Question 13

    Multiply (−1 + i)(3 − 5i). Write it as a + bi.

    Answer

  14. Question 14

    Simplify i³⁶.

    • A. 1
    • B. i
    • C. −1
    • D. −i
  15. Question 15

    Simplify (−5 − 2i) − (2i). Write it as a + bi.

    Answer

  16. Question 16

    Multiply (1 − 4i)(1 − i). Write it as a + bi.

    Answer

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Answer key: Common Core HSN.CN.C.7 worksheet

  1. 1. 9+7i

  2. 2. A. 1

  3. 3. -8+4i

  4. 4. 2+26i

  5. 5. A. 1

  6. 6. i

  7. 7. -2-11i

  8. 8. C. −1

  9. 9. -15+14i

  10. 10. -24-16i

  11. 11. B. i

  12. 12. -7-3i

  13. 13. 2+8i

  14. 14. A. 1

  15. 15. -5-4i

  16. 16. -3-5i

HSN.CN.C.7 Worksheet: Complex numbers | Eurekami