Solving Systems (All Methods)

Flashcard
•
Mathematics
•
9th - 10th Grade
•
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.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by graphing?
Back
It means to plot the equations on a graph and find the point(s) where they intersect.
3.
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.
4.
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 then that expression is substituted into the other equation.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the lines representing the equations are parallel and never intersect.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, so every point on the line is a solution.
7.
FLASHCARD QUESTION
Front
How do you determine the solution of a system of equations graphically?
Back
By identifying the point(s) where the graphs of the equations intersect.
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