
One Solution, No Solution, Infinite Solutions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has one solution?
Back
It means the equations intersect at exactly one point, representing a unique solution.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
It means the equations represent the same line, so there are countless points of intersection.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you determine the number of solutions in a system of equations?
Back
By analyzing the equations to see if they intersect, are parallel, or are identical.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
Example of a system with one solution: 6m + 18 = 2m + 18. What is the solution?
Back
One Solution.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
Example of a system with no solution: 2m + 6 = 2m + 12. What is the solution?
Back
No Solution.
Tags
CCSS.8.EE.C.7A
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