HA2 Linear Systems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of one or more linear equations involving the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a linear system?
Back
A point is a solution to a linear system if it satisfies all the equations in the system.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
The graphical representation of a linear equation is a straight line on a coordinate plane.
4.
FLASHCARD QUESTION
Front
What are the possible outcomes when solving a linear system?
Back
The possible outcomes are: one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (coincident lines).
5.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the x and y values of the point into each equation. If all equations are satisfied, the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the substitution method in solving linear systems?
Back
The substitution method involves solving one equation for one variable and substituting that expression into the other equation.
7.
FLASHCARD QUESTION
Front
What is the elimination method in solving linear systems?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
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