Solving systems of linear equations and inequalities

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect?
Back
It means they have one solution, which is the point where they cross.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear inequality?
Back
A shaded region on one side of the line, indicating all the solutions.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has no solution?
Back
The lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method that involves adding or subtracting equations to eliminate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
The two equations represent the same line.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the point into each equation; if it satisfies all, it's a solution.
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