Systems of Linear Equations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution of a system of linear equations?
Back
The solution is the intersection of the two equations on a graph.
Tags
CCSS.8.EE.C.8B
2.
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
3.
FLASHCARD QUESTION
Front
How do you solve the system of equations y=3x+14 and y=-4x by substitution?
Back
Set 3x + 14 = -4x, solve for x, then substitute back to find y. The solution is y = -2.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has an infinite number of solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the graphical method for solving systems of linear equations?
Back
The graphical method involves plotting both equations on a graph and identifying their intersection point.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y=5x+3 and y=-2x-4 when solved by graphing?
Back
The solution is the point (-1, -2).
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in the context of linear equations?
Back
If two lines are parallel, it means they have no points of intersection and thus no solutions.
Tags
CCSS.8.EE.C.8A
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