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Quadratic Inequality

Quadratic Inequality

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSA.REI.D.12, 6.EE.B.8

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic inequality?

Back

2.

FLASHCARD QUESTION

Front

How do you solve a quadratic inequality?

Back

1. Solve the corresponding quadratic equation to find critical points. 2. Use these points to divide the number line into intervals. 3. Test each interval to determine where the inequality holds true.

3.

FLASHCARD QUESTION

Front

What is the significance of critical points in quadratic inequalities?

Back

Critical points are the values of x where the quadratic expression equals zero. They help to determine the intervals to test for the solution of the inequality.

4.

FLASHCARD QUESTION

Front

What does the graph of a quadratic inequality represent?

Back

The graph represents the regions of the coordinate plane where the quadratic expression satisfies the inequality (either above or below the x-axis, depending on the inequality).

Tags

CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

Front

Back

The solution set is the union of intervals where the quadratic expression is positive, which can be found by testing intervals around the critical points.

6.

FLASHCARD QUESTION

Front

How do you represent the solution set of a quadratic inequality on a number line?

Back

The solution set is represented by shading the regions of the number line that satisfy the inequality, using open or closed circles to indicate whether endpoints are included.

7.

FLASHCARD QUESTION

Front

Back

It implies that x is either less than -6 or greater than -5, as these are the intervals where the quadratic expression is positive.

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