Writing Systems of Equations from Word Problems

Flashcard
•
Mathematics
•
8th - 9th 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 set of values that satisfy all equations in the system.
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 word problem involving ticket sales?
Back
In ticket sales problems, 'x' often represents the number of one type of ticket sold, such as adult tickets.
4.
FLASHCARD QUESTION
Front
What does the variable 'y' typically represent in a word problem involving ticket sales?
Back
In ticket sales problems, 'y' often represents the number of another type of ticket sold, such as student tickets.
5.
FLASHCARD QUESTION
Front
How do you write an equation for total cost in a ticket sales problem?
Back
6.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations?
Back
The first step is to write the system of equations based on the problem's information.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a system of equations?
Back
Coefficients represent the rate of change or the cost per unit in a word problem, indicating how much each variable contributes to the total.
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