Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a complex numbers quiz? Then this Algebra 2 quiz on Real and Complex Numbers: Working with i asks 10 multiple-choice questions with instant feedback.
Ten quick multiple-choice questions on complex numbers. Each question has one correct answer. Watch for sign errors with the imaginary unit and for the remainder rule when evaluating powers of i.
Standards: N-RN.A.1, N-RN.A.2, N-CN.A.1, N-CN.A.2 · Level: Grade 11 Algebra 2
What this Real and Complex Numbers: Working with i quiz checks
- The imaginary unit satisfies i2 = −1.
- A complex number a + bi has real part a and imaginary part b.
- Real numbers are the complex numbers whose imaginary part is 0.
- Powers of i repeat every 4 steps: i, −1, −i, 1.
- Add and subtract by parts; multiply with FOIL and replace i2 by −1.
The 10 questions of the quiz
- Simplify √(−64).
- What is i27?
- Add: (3 + 4i) + (6 − 9i).
- What is the product of 7 + 3i and its conjugate?
- Which complex number is shown in the figure?
- Which number is irrational?
- Simplify √(−3) · √(−12).
- Simplify (1 + i)2.
- What is the sum of the two plotted points?
- What is i100?
After the quiz
Missed a question? Reread the Real and Complex Numbers: Working with i lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Real and Complex Numbers: Working with i, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.