Systems of Equations - Word Problems

Flashcard
•
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 set them equal to each other.
3.
FLASHCARD QUESTION
Front
What does it mean for two variables to be directly proportional?
Back
Two variables are directly proportional if they increase or decrease at the same rate, represented by the equation y = kx, where k is a constant.
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
How can you check the solution of a system of equations?
Back
Substitute the solution back into the original equations to verify that both equations are satisfied.
7.
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.
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