
Linear Systems and Systems of Inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of one or more linear equations involving the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the lines represented by the equations intersect at exactly one point.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinite solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
It is represented by a shaded region on one side of a boundary line, which can be solid or dotted.
6.
FLASHCARD QUESTION
Front
When do you use a solid line when graphing an inequality?
Back
You use a solid line when the inequality includes '≤' or '≥'.
7.
FLASHCARD QUESTION
Front
When do you use a dotted line when graphing an inequality?
Back
You use a dotted line when the inequality is '<' or '>'.
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