Discriminant

Discriminant

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA-REI.B.4B, HSF-IF.C.7A

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is a value that determines the nature of the roots of a quadratic equation, given by the formula b² - 4ac.

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real solutions.

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real solution (a repeated root).

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real solutions, but two complex solutions.

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

How do you find the discriminant of the equation -5x² - 6 = 0?

Back

The discriminant is calculated as b² - 4ac. Here, a = -5, b = 0, c = -6, so the discriminant is 0² - 4(-5)(-6) = -120.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

7.

FLASHCARD QUESTION

Front

Identify a, b, and c in the equation 8x² + 3x - 6 = 3x.

Back

In standard form, a = 8, b = 0, c = -6.

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