System of Equations Word Problems

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•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.
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 ensure the equations reflect the problem's constraints.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the equations represent parallel lines that never intersect, indicating that there are no values for the variables that satisfy all equations.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and any point on that line is a solution to the system.
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
6.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.
7.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
Substitute the values of the variables back into the original equations to see if they satisfy all equations.
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