Systems of equations

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with 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
The lines 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
The lines 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
The lines coincide, meaning they are the same line.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you find the solution to a system of equations graphically?
Back
By plotting the equations on a graph and identifying the intersection point.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, which is then substituted into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method where equations are added or subtracted to eliminate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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