Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a solving quadratic equations quiz? Then this Algebra 1 quiz on Solving Quadratic Equations Four Ways asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on solving quadratic equations. Each question has one correct option and three distractors based on typical sign and formula mistakes. Read each explanation after answering.
Standards: A-REI.B.4a, A-REI.B.4b, A-APR.B.3, A-CED.A.1 · Level: Grade 9 Algebra 1
What this Solving Quadratic Equations Four Ways quiz checks
- Solutions of ax² + bx + c = 0 are the x-intercepts of y = ax² + bx + c.
- Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a.
- Discriminant b² − 4ac: positive gives 2, zero gives 1, negative gives 0 real solutions.
- Zero-product property: if m · n = 0 then m = 0 or n = 0.
- Reject answers that make no sense in a word problem, such as negative lengths.
The 10 questions of the quiz
- Solve (x − 2)² = 25.
- What are the solutions of x(x − 8) = 0?
- To complete the square for x² + 12x = 5, what do you add to both sides?
- Which expression is the quadratic formula for ax² + bx + c = 0?
- What is the discriminant of x² − 4x + 7, and what does it tell you?
- The parabola shown lies entirely above the x-axis.How many real solutions does f(x) = 0 have?
- The parabola shown touches the x-axis at one point.What are the solutions of f(x) = 0?
- A poster is 5 inches taller than it is wide, and its area is 84 square inches. What is its width?
- Solve x² − 6x − 7 = 0 by factoring.
- Which equation has no real solutions?
After the quiz
Missed a question? Reread the Solving Quadratic Equations Four Ways lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Solving Quadratic Equations Four Ways, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.