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 based on the problem's context.
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 us to set up a system of equations to find the number of items (like toppings or shirts) that make the costs equal.
4.
FLASHCARD QUESTION
Front
How do you find the solution to a system of equations graphically?
Back
Plot both equations on a graph. The point where they intersect is the solution to the system.
5.
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.
6.
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.
7.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.
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