Solving Systems by Elimination
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
Wayground Content
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16 questions
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1.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to eliminate a variable in a system of equations?
Back
To eliminate a variable means to manipulate the equations in such a way that one variable is removed, making it possible to solve for the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
How do you determine which variable to eliminate?
Back
Choose the variable that can be easily eliminated by adding or subtracting the equations, often based on the coefficients of the variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the first step in the elimination method?
Back
The first step is to align the equations and manipulate them (by multiplication if necessary) so that the coefficients of one variable are opposites.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12. What is the solution?
Back
There are infinitely many solutions, as the second equation is a multiple of the first.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
Solve by elimination: 3x + 2y = 12 and 6x + 4y = 24. What is the solution?
Back
There are infinitely many solutions, as the second equation is a multiple of the first.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
Solve by elimination: 5x - 3y = 7 and 10x - 6y = 14. What is the solution?
Back
There are infinitely many solutions, as the second equation is a multiple of the first.
Tags
CCSS.8.EE.C.8B
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