
Systems of Equations - Word Problems
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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16 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 companies to charge the same amount?
Back
It means that the total cost equations for both companies are equal, allowing you to find the number of items (e.g., shirts) where their costs match.
4.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations?
Back
The first step is to write the equations based on the information given in the problem.
5.
FLASHCARD QUESTION
Front
How do you find the price of each item in a word problem involving costs?
Back
Set up equations based on the total cost and the relationships between the items, then solve the system of equations.
6.
FLASHCARD QUESTION
Front
What does 't = 3n + 8' represent in a word problem?
Back
It represents a relationship where the price of the math textbook (t) is $8 more than three times the price of the novel (n).
7.
FLASHCARD QUESTION
Front
What is the significance of the setup fee in a cost equation?
Back
The setup fee is a fixed cost that must be added to the variable cost per item to find the total cost.
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