What is a system of equations?
Systems of Equations & Inequalities

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 solution?
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 infinite solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
What is an inequality?
Back
An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.
6.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
Graph the corresponding linear equation as a solid line (if ≤ or ≥) or dashed line (if < or >) and shade the appropriate region.
7.
FLASHCARD QUESTION
Front
What is the feasible region in a system of inequalities?
Back
The feasible region is the area on the graph where all the inequalities overlap, representing all possible solutions.
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