Solution to a System
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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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 an ordered pair (x, y) that satisfies all equations in the system.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you determine if an ordered pair is a solution to a system of equations?
Back
Substitute the x and y values of the ordered pair into each equation. If both equations are true, then the ordered pair is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean if an ordered pair is not a solution to a system of equations?
Back
It means that substituting the ordered pair into at least one of the equations does not yield a true statement.
4.
FLASHCARD QUESTION
Front
Solve the system of equations: y = 2x + 3 and y = -x + 1. What is the solution?
Back
(1, 5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
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
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 points of intersection, and thus, there is no solution to the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the significance of the intersection point in a system of equations?
Back
The intersection point represents the solution to the system, where both equations are satisfied.
Tags
CCSS.8.EE.C.8A
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