Systems of equations and inequalities

Flashcard
•
Mathematics
•
9th 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 that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution of a system of equations?
Back
A point is a solution if it satisfies all equations in the system.
3.
FLASHCARD QUESTION
Front
What is an inequality?
Back
A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A straight line on a coordinate plane.
5.
FLASHCARD QUESTION
Front
What does shading a region in a graph of inequalities represent?
Back
It represents all the solutions that satisfy the inequality.
6.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of inequalities?
Back
Substitute the point into each inequality; if it satisfies all, it is a solution.
7.
FLASHCARD QUESTION
Front
What is the difference between consistent and inconsistent systems of equations?
Back
Consistent systems have at least one solution; inconsistent systems have no solutions.
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