System Word Problems - Setting Up

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•
Mathematics
•
8th 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
To represent a word problem as a system of equations, identify the variables, translate the relationships and conditions described in the problem into equations, and ensure that the equations reflect the constraints given.
3.
FLASHCARD QUESTION
Front
What does the variable 'x' typically represent in a system of equations?
Back
In a system of equations, 'x' usually represents one of the unknown quantities that need to be solved for, often corresponding to a specific item or measurement in the context of the problem.
4.
FLASHCARD QUESTION
Front
What does the variable 'y' typically represent in a system of equations?
Back
In a system of equations, 'y' usually represents another unknown quantity that needs to be solved for, often corresponding to a different item or measurement in the context of the problem.
5.
FLASHCARD QUESTION
Front
What is the purpose of using a system of equations in real-world problems?
Back
The purpose of using a system of equations in real-world problems is to find the values of multiple unknowns that satisfy all given conditions or constraints simultaneously.
6.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
The number of solutions in a system of equations can be determined by analyzing the graphs of the equations: one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (same line).
7.
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 to find the values of the variables.
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