Systems of Equations - Word Problems
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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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 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 (like shirts or pizzas) where their costs match.
4.
FLASHCARD QUESTION
Front
What is the formula for calculating total cost with a setup fee?
Back
Total Cost = (Cost per item * Number of items) + Setup fee.
5.
FLASHCARD QUESTION
Front
How do you set up an equation from a word problem involving coins?
Back
Define variables for each type of coin, create an equation for the total number of coins, and another for the total value.
6.
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 item in a word problem, indicating how much each variable contributes to the total.
7.
FLASHCARD QUESTION
Front
How can you determine the number of items sold from a system of equations?
Back
By solving the system of equations simultaneously, you can find the values of the variables that satisfy both equations.
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