Systems of Equations - Word Problems

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•
Mathematics
•
8th - 10th 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 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 they reflect the problem's context.
3.
FLASHCARD QUESTION
Front
What does it mean when two variables are dependent in a system of equations?
Back
It means that the value of one variable can be expressed in terms of the other, indicating a relationship between them.
4.
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.
5.
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.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
7.
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 every point on that line is a solution.
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