What is a system of equations?
Writing Systems of Equations Through Word Problems

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and set them equal to each other.
3.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect on a graph?
Back
It means that the two equations have a common solution, which is the point where both equations are true.
4.
FLASHCARD QUESTION
Front
What is the significance of the solution to a system of equations in a word problem?
Back
The solution represents the values of the variables that satisfy all equations in the system, often corresponding to a real-world scenario.
5.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
Substitute the solution back into the original equations to see if they hold true.
6.
FLASHCARD QUESTION
Front
What is the graphical method of solving a system of equations?
Back
Plot both equations on a graph and identify the point of intersection.
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
It means that the system has no solution, as the lines will never intersect.
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