Solving Systems Using Substitution and Elimination
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations?
Back
Finding the values of the variables that satisfy all equations in the system.
3.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.
4.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
A method for solving systems of equations by adding or subtracting equations to eliminate one variable.
5.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the point's coordinates into each equation; if both equations are true, the point is a solution.
6.
FLASHCARD QUESTION
Front
What is the first step in the elimination method?
Back
Align the equations so that corresponding variables and constants are in the same columns.
7.
FLASHCARD QUESTION
Front
What is the purpose of multiplying an equation in the elimination method?
Back
To create coefficients for one variable that are opposites, allowing for elimination when the equations are added or subtracted.
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