Elimination Method Common Coefficients
Flashcard
•
Mathematics
•
8th Grade - University
•
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 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 if a system of equations has an infinite number of solutions?
Back
It means that the equations represent the same line, and thus every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the equations represent parallel lines that never intersect, indicating that there are no common solutions.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
Define a system of equations.
Back
A system of equations is a set of two or more equations with the same variables that are solved together.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution, no solution, or infinite solutions?
Back
By analyzing the slopes and intercepts of the lines represented by the equations: if they intersect, there's one solution; if they are parallel, there's no solution; if they are the same line, there are infinite solutions.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
Solve using the Elimination Method: x - y = 11 and 2x + y = 19.
Back
(10, -1)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
Solve using the Elimination Method: -4x - 4y = 0 and 4x + 4y = 0.
Back
Infinite number of solutions.
Tags
CCSS.8.EE.C.8B
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