Systems of Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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 if a system of equations has infinitely many 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
3.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the equations represent parallel lines, they will never intersect, indicating no solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of lines or curves plotted on a coordinate plane, where the intersection points represent the solutions.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted 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 equations?
Back
A method that 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 for a system of equations to be consistent?
Back
A consistent system has at least one solution, which can be either unique or infinitely many.
Tags
CCSS.8.EE.C.8B
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