Checking solutions to linear systems
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of two or more linear equations involving the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for an ordered pair to be a solution to a linear system?
Back
An ordered pair is a solution to a linear system if it satisfies all equations in the system.
3.
FLASHCARD QUESTION
Front
How do you check if an ordered pair is a solution to a system of equations?
Back
Substitute the x and y values of the ordered pair into each equation. If both equations are true, it is a solution.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear system?
Back
The graphical representation of a linear system is the intersection point(s) of the lines represented by the equations.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if a linear system has no solution?
Back
A linear system has no solution if the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a linear system has infinitely many solutions?
Back
A linear system has infinitely many solutions if the equations represent the same line, meaning they overlap completely.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?
Back
The solution is (1, 3).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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