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System of Inequalities

System of Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSA.REI.D.12

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 system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

2.

FLASHCARD QUESTION

Front

What does it mean if a system of inequalities has no solution?

Back

A system of inequalities has no solution if there are no points that satisfy all inequalities simultaneously, often represented by parallel lines that never intersect.

Tags

CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

Front

What does it mean if a system of inequalities has infinite solutions?

Back

A system of inequalities has infinite solutions if there are an unlimited number of points that satisfy all inequalities, typically when the inequalities represent the same line or overlapping regions.

Tags

CCSS.HSA.REI.D.12

4.

FLASHCARD QUESTION

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, first graph each inequality as if it were an equation. Use a dashed line for < or > and a solid line for ≤ or ≥. Then shade the appropriate region for each inequality.

Tags

CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

Front

What is the significance of the boundary line in a system of inequalities?

Back

The boundary line in a system of inequalities separates the solution region from the non-solution region. Points on the line are included if the inequality is ≤ or ≥.

Tags

CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

How do you determine if a point is a solution to a system of inequalities?

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

7.

FLASHCARD QUESTION

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' represents a dashed line and does not include points on the line, while 'y ≤ mx + b' represents a solid line and includes points on the line.

Tags

CCSS.HSA.REI.D.12

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