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Exploring the Discriminant in Quadratic Equations

Exploring the Discriminant in Quadratic Equations

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary purpose of the discriminant in a quadratic equation?

To identify the maximum or minimum value

To determine the number of solutions

To find the vertex of the parabola

To calculate the axis of symmetry

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which part of the quadratic formula is known as the discriminant?

The square root of b^2 - 4ac

x = -b

2a

b^2 - 4ac

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the discriminant is zero, how many solutions does the quadratic equation have?

Infinite solutions

Two distinct solutions

One solution

No solutions

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

One real solution

Two distinct real solutions

Infinite solutions

No real solutions

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a negative discriminant imply about the solutions of a quadratic equation?

One real solution

Two distinct real solutions

No real solutions

Infinite solutions

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example 3x^2 - 2x + 4 = 0, what is the value of the discriminant?

48

4

0

-44

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the quadratic equation 9x^2 - 12x + 4 = 0, what is the nature of its solutions?

No real solutions

Infinite solutions

One real solution

Two distinct real solutions

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