
Systems of Equations Review
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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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 that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the equations intersect at exactly one point on the graph.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solutions?
Back
It means that the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
Substitute the point's coordinates into each equation; if both equations are satisfied, the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of the lines or curves of the equations plotted on a coordinate plane.
7.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of equations?
Back
The substitution method involves solving one equation for one variable and substituting that expression into the other equation.
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