Basic Systems of Equations I
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
Standards-aligned
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15 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 for a system of equations to have a unique solution?
Back
It means there is exactly one set of values for the variables that satisfies all equations in the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means there are no values for the variables that can satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means there are countless sets of values for the variables that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has a unique solution, no solution, or infinitely many solutions?
Back
By analyzing the equations' graphs: if they intersect at one point, there's a unique solution; if they are parallel, there's no solution; if they are the same line, there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of lines (or curves) plotted on a coordinate plane.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?
Back
(1, 3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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