Solving Systems of Equations

Flashcard
•
Mathematics
•
8th - 10th 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.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
It means there is exactly one set of values for the variables that satisfies all equations in the system.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
How can you determine if two lines are parallel?
Back
If they have the same slope but different y-intercepts.
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
How do you find the intersection point of two lines graphically?
Back
By plotting both lines on a graph and identifying the point where they cross.
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