Solving Systems of Linear Equations WORD PROBLEMS
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear 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 ensure the equations reflect the problem's constraints.
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 we are trying to solve for.
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 we are trying to solve for, often related to 'x'.
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 other.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system of equations has no solution if the lines represented by the equations are parallel and never intersect.
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