Grade 11 · Algebra 2

Grade 11 Algebra 2 — Quadratic formula questions and answers

x = (−b ± √(b² − 4ac)) / 2a — a top US search. Written in American English for students, parents, and teachers in the United States.

Practice quiz

Question and answer list

Open a card to see the answer. These are original practice items for US elementary students — not a state test copy.

1. The quadratic formula is

Answer: x = (−b ± √(b² − 4ac)) / 2a

It solves ax² + bx + c = 0.

2. In ax² + bx + c = 0, the discriminant is

Answer: b² − 4ac

It tells how many real roots.

3. If the discriminant is negative, there are

Answer: no real roots

The graph does not cross the x-axis.

4. If the discriminant is zero, there is

Answer: one real root (a repeated root)

The vertex sits on the x-axis.

5. The axis of symmetry is

Answer: x = −b/(2a)

It is a vertical line through the vertex.

6. A parabola opens upward when

Answer: a > 0

a is the coefficient of x².

7. FOIL is a way to

Answer: multiply two binomials

(x+2)(x+3) = x² + 5x + 6.

8. The solutions of x² − 5x + 6 = 0 are

Answer: x = 2 and x = 3

Factors as (x−2)(x−3).