Systems of Equations - word problems

Flashcard
•
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 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 it mean to solve a system of equations?
Back
To find the values of the variables that satisfy all equations in the system simultaneously.
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 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 remaining variable.
6.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
7.
FLASHCARD QUESTION
Front
What is an inconsistent system of equations?
Back
An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect.
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