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 solution of the remaining variable.
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
The first step is to manipulate the equations to align coefficients of one variable so that they can be eliminated when the equations are added or subtracted.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
How do you create a zero pair in the Elimination Method?
Back
To create a zero pair, you multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing them to cancel each other out.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean to 'cross out' a variable in the Elimination Method?
Back
'Crossing out' a variable means to eliminate it from the equations by adding or subtracting the equations, resulting in a single equation with one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
In the equation 4x + 3y = 1 and x - 3y = -11, which variable can be eliminated first?
Back
The variable 3y can be eliminated by aligning the coefficients of y in both equations.
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
What is a 'zero pair' in the context of the Elimination Method?
Back
A zero pair occurs when two terms in an equation cancel each other out, resulting in a sum of zero.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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