Solve Systems by Graphing

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
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. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
A system has one solution when the graphs of the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system has no solution when the graphs of the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
A system has infinitely many solutions when the equations represent the same line, meaning they intersect at every point on that line.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How can you determine the solution to a system of equations by graphing?
Back
To determine the solution by graphing, plot the equations on the same coordinate plane and identify the point(s) where they intersect.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
The graphical representation of a linear equation is a straight line on a coordinate plane.
7.
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
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