Quadratic Formula Practice Test

About This Quadratic Formula Practice Test

This test focuses on every stage of using the quadratic formula: identifying signed coefficients, computing the discriminant, keeping the denominator grouped, simplifying radicals, and evaluating both ± branches.

The set includes rational, irrational, repeated, and complex answers as well as diagnostic questions about common formula mistakes.

Skills Covered

Quadratic formula, signed coefficients, discriminants, radical simplification, complex numbers, denominator grouping, and exact roots.

Key Ideas

1. The coefficient b includes its sign.
2. The denominator is the entire quantity 2a.
3. The ± symbol creates two calculations.
4. A negative discriminant introduces i rather than ending the solution process.

Common Mistakes to Avoid

Do not drop the minus before b, change b²−4ac into b²+4ac, or divide only the square-root term by 2a.

Practice Format

Each question has four answer choices. The explanation shows the method, completes the algebra, states the conclusion, and explains why every distractor is incorrect.