Search Header Logo
Solving Systems of Linear Inequalities

Solving Systems of Linear Inequalities

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

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.

Tags

CCSS.HSA.REI.D.12

2.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a solid line (for ≤ or ≥) or a dashed line (for < or >). Then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

4.

FLASHCARD QUESTION

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

5.

FLASHCARD QUESTION

Front

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

Back

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

Tags

CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

How can you determine if an ordered pair is a solution to a system of inequalities?

Back

To determine if an ordered pair is a solution, substitute the values into each inequality. If the pair satisfies all inequalities, it is a solution.

7.

FLASHCARD QUESTION

Front

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

Back

The solution set is the set of all ordered pairs that satisfy all inequalities in the system, often represented as a shaded region on a graph.

Tags

CCSS.HSA.REI.D.12

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?