Solving Systems of Equations & Inequalities

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear inequalities?
Back
A set of two or more linear inequalities that involve the same variables.
2.
FLASHCARD QUESTION
Front
What does the solution of a system of linear inequalities represent?
Back
The set of all points that satisfy all inequalities in the system, often represented as a shaded region on a graph.
3.
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.
4.
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.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the lines represented by 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 that the equations represent the same line, and there are an infinite number of points that satisfy both equations.
7.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
Graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.
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