5.2 Graphing Systems
Flashcard
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Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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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 on a graph.
Tags
CCSS.8.EE.C.8B
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 do you find the solution to a system of equations graphically?
Back
To find the solution graphically, plot both equations on the same graph and identify the point(s) where they intersect.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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