Two Variable Inequalities

Two Variable Inequalities

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a two-variable inequality?

Back

An inequality that involves two variables, typically written in the form of 'y < mx + b' or 'y > mx + b', where m is the slope and b is the y-intercept.

2.

FLASHCARD QUESTION

Front

What does the inequality 'y > -2' represent graphically?

Back

It represents all the points above the horizontal line y = -2, not including the line itself.

3.

FLASHCARD QUESTION

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

4.

FLASHCARD QUESTION

Front

What does the inequality 'y ≥ 2x - 2' indicate?

Back

It indicates that the region includes the line y = 2x - 2 and all points above it.

5.

FLASHCARD QUESTION

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means greater than and does not include the boundary line, while '≥' means greater than or equal to and includes the boundary line.

6.

FLASHCARD QUESTION

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are graphed on the same coordinate plane.

7.

FLASHCARD QUESTION

Front

How can you tell if a point is a solution to a system of inequalities?

Back

The point must satisfy all inequalities in the system simultaneously.

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