elimination method
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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
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
Solve by elimination: 2x + 3y = 6 and 4x - 3y = 12.
Back
(3, 0)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system of equations has no solution if the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
Solve by elimination: 3x + 4y = 10 and 6x + 8y = 20.
Back
No solution (the second equation is a multiple of the first).
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system of equations is one that has at least one solution, meaning the lines intersect at one or more points.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is an inconsistent system of equations?
Back
An inconsistent system of equations is one that has no solutions, meaning the lines are parallel.
Tags
CCSS.8.EE.C.8A
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