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
Example of a system with one solution: 2x + 3 = 7 and x - 1 = 1. How many solutions does it have?
Back
One Solution.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
Example of a system with no solution: 2x + 3 = 5 and 2x + 3 = 7. How many solutions does it have?
Back
No Solution.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
Example of a system with infinite solutions: 3x + 6 = 9 and x + 2 = 3. How many solutions does it have?
Back
Infinite Solutions.
Tags
CCSS.8.EE.C.8B
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