Quadratic Equations Practice Test

Choose and apply efficient methods for factorable, irrational, repeated, and nonreal quadratic solutions.

Quadratic Equations Practice Test

This test has 20 questions

About This Quadratic Equations Practice Test

This mixed review requires students to choose among factoring, the square-root property, completing the square, and the quadratic formula. It includes rational, irrational, repeated, and nonreal cases.

Questions also use the discriminant to classify the number of real solutions before solving.

Skills Covered

Factoring, zero-product property, square-root equations, completing the square, quadratic formula, radical simplification, and discriminants.

Key Ideas

  1. Factor out a common factor first.
  2. Use ± when taking a square root of a positive value.
  3. Keep the denominator 2a grouped in the formula.
  4. A negative discriminant means no real roots.

Common Mistakes to Avoid

Do not copy signs from factors as roots, omit zero after factoring out x, or lose one branch of a square-root equation.

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.