Systems of equations and inequalities
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
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 to a system of equations?
Back
A point is a solution if it satisfies all equations in the system.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of inequalities?
Back
The solution set is represented by the shaded region where the inequalities overlap on a graph.
4.
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.
5.
FLASHCARD QUESTION
Front
What is the difference between a solution to an equation and a solution to an inequality?
Back
A solution to an equation is a specific point; a solution to an inequality is a range of points.
6.
FLASHCARD QUESTION
Front
What does the term 'feasible region' refer to in the context of inequalities?
Back
The feasible region is the area on a graph where all constraints (inequalities) are satisfied.
7.
FLASHCARD QUESTION
Front
How can you solve a system of equations graphically?
Back
By plotting each equation on the same graph and identifying the intersection point(s).
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