Solving Linear Systems (graphing, substitution, elimination)

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+2
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 for a system of equations to have one solution?
Back
It means that the lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the lines represented by the equations coincide, or are the same line.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the substitution method for 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
6.
FLASHCARD QUESTION
Front
What is the elimination method for solving linear systems?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How do you determine if two lines are parallel?
Back
Two lines are parallel if they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.B.6
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