4. Elimination Method
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 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 linear 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 is the first step in using the Elimination Method?
Back
Identify which variable can be eliminated by adding or subtracting the equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
In the equations 4x + 3y = 1 and x - 3y = -11, which variable is eliminated first?
Back
The variable y is eliminated by adding the equations after adjusting their coefficients.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What happens when you multiply an entire equation by -1?
Back
The signs of all terms in the equation are reversed.
5.
FLASHCARD QUESTION
Front
If you have the equations 2x - 6y = 20 and 2x + 5y = -11, what is the first step to eliminate x?
Back
You can multiply the second equation by -1 to align the coefficients of x for elimination.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations x - y = 11 and 2x + y = 19 using the Elimination Method?
Back
The solution is (10, -1).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
In the equations 5x - 4y = 11 and 5x + 4y = -14, which variable will be eliminated?
Back
The variable y will be eliminated.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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