
Systems of Equations
Flashcard
•
Mathematics
•
8th - 11th 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 system of equations to have a unique solution?
Back
It means the lines represented by the equations intersect at exactly one point.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means the lines represented by the equations are the same line, overlapping each other.
5.
FLASHCARD QUESTION
Front
How can you determine if two lines are parallel from their equations?
Back
If the slopes of the two lines are equal, the lines are parallel.
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
How do you find the solution to a system of equations graphically?
Back
By plotting the equations on a graph and identifying the point(s) where they intersect.
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