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 to the system is the set of values that satisfy all equations simultaneously.
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 described in the problem into equations, and ensure the equations reflect the same variables.
3.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations graphically?
Back
To solve a system of equations graphically means to plot the equations on a coordinate plane and find the point(s) where the lines intersect, which represent the solution(s) to the system.
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 to find the values of the variables.
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 remaining variable.
6.
FLASHCARD QUESTION
Front
How can you check the solution of a system of equations?
Back
You can check the solution by substituting the values of the variables back into the original equations to see if they satisfy all equations.
7.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
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