Ordered Pair Solutions to Systems of Equations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is an ordered pair?
Back
An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).
Tags
CCSS.5.G.A.1
2.
FLASHCARD QUESTION
Front
How do you determine if an ordered pair is a solution to a system of equations?
Back
An ordered pair is a solution if it satisfies both equations in the system, meaning when you substitute x and y into both equations, they hold true.
3.
FLASHCARD QUESTION
Front
What does it mean for an equation to be true?
Back
An equation is true when both sides of the equation are equal after substituting the values of the variables.
Tags
CCSS.6.EE.B.5
4.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables that are solved together.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a solution to a system of equations?
Back
The solution is represented by the point where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
6.
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
7.
FLASHCARD QUESTION
Front
How can you check if a point is a solution to a system of equations?
Back
Substitute the x and y values of the point into each equation. If both equations are satisfied, the point is a solution.
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