Solving Systems of Linear Equations in Two Variables

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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11 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear 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 has one solution?
Back
The lines 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 has no solution?
Back
The lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean if a system has infinitely many solutions?
Back
The lines coincide, meaning they are the same line.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A technique for solving systems of equations by eliminating one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How do you solve a system by substitution?
Back
Solve one equation for one variable and substitute it into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A straight line on a coordinate plane.
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