What is a system of equations?
Chapter 4 - Graphing Systems of Equations

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect on a graph?
Back
It means that the two equations have one solution, which is the point where the lines meet.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations when the lines are parallel?
Back
No solution, because parallel lines never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the two equations represent the same line, so every point on the line is a solution.
5.
FLASHCARD QUESTION
Front
How do you find the solution to a system of equations graphically?
Back
By plotting both equations on the same graph and identifying the point(s) where they intersect.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of the equation y = 2x + 1?
Back
A straight line with a slope of 2 and a y-intercept of 1.
7.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope is a measure of how steep a line is, calculated as the rise over run.
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