Unit 5 Systems Retest
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a solution to a system of equations?
Back
A solution to a system of equations is a set of values for the variables that makes all equations true simultaneously.
2.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the coordinates of the point into each equation. If all equations are satisfied, the point is a solution.
3.
FLASHCARD QUESTION
Front
What is the method of substitution in solving systems of equations?
Back
The method of substitution involves solving one equation for one variable and then substituting that expression into the other equation.
4.
FLASHCARD QUESTION
Front
What is the method of elimination in solving systems of equations?
Back
The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
5.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel in the context of systems of equations?
Back
Two lines are parallel if they have the same slope and will never intersect, meaning there is no solution to the system.
6.
FLASHCARD QUESTION
Front
What does it mean for two lines to be coincident in the context of systems of equations?
Back
Two lines are coincident if they lie on top of each other, meaning there are infinitely many solutions to the system.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation is the intersection point(s) of the lines representing the equations on a coordinate plane.
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