Systems Elimination (Easy)
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•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a solution to a system of equations?
Back
A solution to a system of equations is a set of values for the variables that makes all equations in the system true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you check if a point is a solution to a system of equations?
Back
To check if a point is a solution, substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean if a point is a solution to a system of equations?
Back
It means that the point lies on the graph of both equations, representing the intersection of the two lines.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation is the intersection point(s) of the lines represented by the equations.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the significance of the intersection point in a system of equations?
Back
The intersection point represents the values of the variables that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, it means they have no intersection points, and thus, the system has no solution.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
If two lines coincide, they lie on top of each other, meaning there are infinitely many solutions to the system.
Tags
CCSS.8.EE.C.8A
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