Elimination Method
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+1
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
How do you eliminate a variable in a system of equations?
Back
To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing you to add or subtract the equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
A system has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the first step in using the Elimination Method?
Back
The first step is to align the equations and decide which variable to eliminate.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
You can check the solution by substituting the values back into the original equations to see if they hold true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in the Elimination Method?
Back
The coefficients determine how the equations can be manipulated to eliminate a variable; they must be adjusted to create opposites.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it indicate if two equations in a system are parallel?
Back
If two equations are parallel, it indicates that there is no solution, as the lines will never intersect.
Tags
CCSS.8.EE.C.8A
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