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Complex Numbers Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Complex Numbers flashcards as text

  1. What is the value of i²?

    Answer: -1

    By definition, i is the imaginary unit where i² = -1.

  2. What is the sum (3 + 2i) + (4 − 5i)?

    Answer: 7 − 3i

    Add real parts (3 + 4 = 7) and imaginary parts (2 − 5 = −3) separately to get 7 − 3i.

  3. What is the product (2 + 3i)(1 − i)?

    Answer: 5 + i

    Expanding: 2 − 2i + 3i − 3i² = 2 + i − 3(−1) = 2 + i + 3 = 5 + i.

  4. What is the complex conjugate of (4 − 7i)?

    Answer: 4 + 7i

    The complex conjugate of (a + bi) is (a − bi), so the conjugate of (4 − 7i) is (4 + 7i).

  5. Which of the following is equal to i³?

    Answer: −i

    i³ = i² × i = (−1)(i) = −i.

  6. What is (2 + i)²?

    Answer: 3 + 4i

    (2 + i)² = 4 + 4i + i² = 4 + 4i − 1 = 3 + 4i.

  7. What is the value of i⁴?

    Answer: 1

    i⁴ = (i²)² = (−1)² = 1.

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Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. satsuite.collegeboard.org — Score release, test delivery, time limit, test dates, fees, registration, retake policy · verified Oct 2026
  2. bluebook.collegeboard.org — Test delivery · verified Oct 2026