Practice Graphing Two Variable Inequalities

Practice Graphing Two Variable Inequalities

Assessment

Flashcard

Mathematics

8th 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 ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c.

2.

FLASHCARD QUESTION

Front

How do you graph a two-variable inequality?

Back

1. Graph the boundary line (as a solid line for ≤ or ≥, dashed for < or >). 2. Choose a test point not on the line to determine which side of the line to shade.

3.

FLASHCARD QUESTION

Front

What does it mean if a point is on the boundary line of a graph of an inequality?

Back

It means that the point satisfies the equation of the boundary line, and whether it is included in the solution set depends on the type of inequality (≤ or ≥ includes it, < or > does not).

4.

FLASHCARD QUESTION

Front

What is the solution set of a two-variable inequality?

Back

The set of all points (x, y) that satisfy the inequality, represented graphically as a shaded region on the coordinate plane.

5.

FLASHCARD QUESTION

Front

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

Back

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

6.

FLASHCARD QUESTION

Front

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it using variables and an inequality symbol.

7.

FLASHCARD QUESTION

Front

What does the inequality 3x + 2y ≤ 24 represent in a word problem context?

Back

It represents a situation where the total cost of apples (3x) and oranges (2y) cannot exceed $24.

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