Systems of Linear Inequalities Practice
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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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 that involve 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 boundary line. Use a dashed line for 'greater than' or 'less than' and a solid line for 'greater than or equal to' or 'less than or equal to'. Then shade the appropriate region based on the inequality.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does the solution region of a system of linear inequalities represent?
Back
The solution region represents all the possible solutions that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
4.
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 (for '≤' or '≥'), while a dashed line indicates that points on the line are not included (for '<' or '>').
Tags
CCSS.HSA.REI.D.12
5.
FLASHCARD QUESTION
Front
What does it mean if a system of linear inequalities has no solution?
Back
A system has no solution if the graphs of the inequalities do not intersect, meaning there is no region that satisfies all inequalities.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What does it mean if a system of linear inequalities has infinitely many solutions?
Back
A system has infinitely many solutions if the inequalities overlap in such a way that there are countless points that satisfy all inequalities, often when the lines are the same or parallel.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How can 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.
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