Complex Solutions of Quadratics Quiz – Algebra 2 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

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Standards: N-CN.C.7, A-REI.B.4b · Level: Grade 11 Algebra 2

What this Quadratics with Complex Solutions quiz checks

• D = b2 − 4ac decides the number and type of solutions.
• If D < 0, the parabola never crosses the x-axis and the solutions are non-real.
• Complex solutions of a real quadratic always appear as conjugates p + qi and p − qi.
• The quadratic formula gives exact solutions: x = −b ± √D2a.
• The two solutions sum to −b/a and multiply to c/a.

The 10 questions of the quiz

1. What is the discriminant of x² + 4x + 9 = 0?
2. Solve x² = −25.
3. Solve x² − 4x + 29 = 0.
4. The discriminant of a quadratic equation is 0. How many real solutions does it have?
5. The graph of a quadratic is shown. What can be said about its discriminant?
6. If 3 − 5i is a solution of a quadratic with real coefficients, which is the other solution?
7. For which values of k does x² + k = 0 have non-real solutions?
8. The graph shows the solutions of a quadratic as points on the complex plane. Which equation has them as solutions?
9. What is √(−48) in simplest form?
10. Solve (x + 1)² = −9.

After the quiz

Missed a question? Reread the Quadratics with Complex Solutions lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Quadratics with Complex Solutions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026