Solving Systems of Equations
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the intersection of two lines?
Back
The solution is the point where the two lines intersect, which represents the values of the variables that satisfy both equations.
Tags
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
Parallel lines never intersect because they have the same slopes.
Tags
CCSS.HSG.CO.A.1
3.
FLASHCARD QUESTION
Front
How can you determine the solution of a system of equations graphically?
Back
By graphing the equations and identifying the point of intersection.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of 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
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of 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 does it mean if a system of equations has no solution?
Back
A system has no solution if the lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
A system has infinitely many solutions if the two equations represent the same line.
Tags
CCSS.8.EE.C.8A
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