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 Unit 2 Review - Systems of Linear Inequalities

Unit 2 Review - Systems of Linear Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

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 linear inequalities?

Back

A system of linear inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

2.

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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

3.

FLASHCARD QUESTION

Front

What does the graph of a linear inequality represent?

Back

The graph of a linear inequality represents all the solutions to that inequality, typically shown as a shaded region on one side of the boundary line.

4.

FLASHCARD QUESTION

Front

What is the difference between a solid line and a dashed line in the graph of inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

5.

FLASHCARD QUESTION

Front

What does the inequality y > 2x - 4 represent graphically?

Back

It represents the region above the line y = 2x - 4, not including the line itself.

6.

FLASHCARD QUESTION

Front

How do you graph the inequality y ≤ 2/5x + 1?

Back

Graph the line y = 2/5x + 1 using a solid line, then shade below the line to represent all points where y is less than or equal to the line.

7.

FLASHCARD QUESTION

Front

What is the solution set of a system of linear inequalities?

Back

The solution set is the region where the shaded areas of all inequalities overlap on the graph.

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