Solving Linear Systems by Graphing
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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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 to solve a linear system by graphing?
Back
To solve a linear system by graphing means to plot the equations on a graph and identify the point(s) where they intersect, which represents the solution(s) to the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution to a system of equations is the set of values for the variables that makes all equations true, often represented as an ordered pair (x, y).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a linear system?
Back
If two lines are parallel, it means they have the same slope but different y-intercepts, indicating that there is no solution to the system.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a linear system?
Back
If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions to the system.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
A system has no solution if the lines are parallel, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving linear systems?
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
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