Practice Test- Understanding the Discriminant in Quadratics

Use the discriminant to determine the number and type of solution(s) to the given quadratic equation.

• There are 2 real solutions.

• There is 1 real solution.

• There are 2 complex solutions.

• Not enough information is given to determine an answer.

• 0

• 4

• 8

• 16

What does a discriminant value of 0 indicate about the solutions of a quadratic equation?

• No real solutions

• One real solution

• Two distinct real solutions

• Infinite solutions

• No real solutions

• One real solution

• Two distinct real solutions

• Infinite solutions

• 16

• 10

• 4

• 1

• 8

• 12

• 4

• 0

If the discriminant of a quadratic equation is negative, what can be said about the solutions?

• No real solutions

• One real solution

• Two distinct real solutions

• Infinite solutions

• No real solutions

• One real solution

• Two distinct real solutions

• Infinite solutions

• -3

• 0

• 1

• 3

What does a positive discriminant indicate about the solutions of a quadratic equation?

• No real solutions

• One real solution

• Two distinct real solutions

• Infinite solutions