What is a linear system?
Solving Linear Systems & Inequalities

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear system is a collection of one or more linear equations involving the same variables.
2.
FLASHCARD QUESTION
Front
What are the two main methods for solving linear systems?
Back
The two main methods for solving linear systems are elimination and substitution.
3.
FLASHCARD QUESTION
Front
What does it mean if a linear system has no solution?
Back
A linear system has no solution if the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a solution to a linear equation?
Back
The graphical representation of a solution to a linear equation is the point where the line intersects the coordinate plane.
5.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all the inequalities in the system.
6.
FLASHCARD QUESTION
Front
What is the significance of the shaded region in a graph of inequalities?
Back
The shaded region in a graph of inequalities represents all the possible solutions that satisfy the inequality.
7.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A system of equations is consistent if it has at least one solution.
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