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Exploring the Quadratic Formula and Discriminant

Exploring the Quadratic Formula and Discriminant

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA-REI.B.4B, HSN.CN.C.7

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSA-REI.B.4B
,
CCSS.HSN.CN.C.7
This video tutorial introduces the discriminant and its role in quadratic equations. It explains how the discriminant determines the nature of roots, including scenarios with no real solutions, one real solution, and two real solutions. The tutorial also covers factorability, providing examples to illustrate when a quadratic equation is factorable. The quadratic formula is discussed, highlighting its connection to the discriminant. Finally, the video demonstrates how to find the axis of symmetry and vertex using quadratic solutions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the discriminant?

b^2 * 4ac

b^2 / 4ac

b^2 - 4ac

b^2 + 4ac

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the discriminant is less than zero, what type of roots does the quadratic equation have?

Two imaginary roots

One real root

Two real roots

No real roots

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if the discriminant is exactly zero?

Two real roots

One real root

No real roots

Two imaginary roots

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When the discriminant is positive, how many real solutions does the quadratic equation have?

One

None

Two

Infinite

Tags

CCSS.HSA-REI.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the absolute value of a negative discriminant is a perfect square, what can be said about the quadratic equation?

It is not factorable

It is factorable

It has no solutions

It has one solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the discriminant of the equation y = x^2 - 15x - 250?

1225

250

225

1000

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Two imaginary roots

No real roots

One real root

Two real roots

Tags

CCSS.HSA-REI.B.4B

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