Systems of Linear Equations (Two Variables)
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for a solution to a system of linear equations to be valid?
Back
A solution is valid if it satisfies all equations in the system, making them true when the values are substituted.
3.
FLASHCARD QUESTION
Front
How is a solution to a system of linear equations represented?
Back
A solution is represented as an ordered pair (x, y), where x is the value of the first variable and y is the value of the second variable.
Tags
CCSS.HSA.REI.C.9
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of linear equations?
Back
The graphical representation consists of lines on a coordinate plane, where the intersection point(s) represent the solution(s) to the system.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of linear equations?
Back
The substitution method involves solving one equation for one variable and 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 in solving systems of linear equations?
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
What does it mean if two lines are parallel in a system of linear equations?
Back
If two lines are parallel, the system has no solution because the lines never intersect.
Tags
CCSS.8.EE.C.8A
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