Solve by Elimination
Flashcard
•
Mathematics
•
8th Grade
•
Hard
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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 involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
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 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
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system has no solution when the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
How do you determine if two equations are equivalent?
Back
Two equations are equivalent if they can be transformed into one another through algebraic manipulation, such as multiplying or dividing by a non-zero constant.
Tags
CCSS.8.EE.C.7A
5.
FLASHCARD QUESTION
Front
What is the first step in using the elimination method?
Back
The first step is to align the equations and manipulate them (if necessary) so that the coefficients of one variable are opposites.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How can you manipulate equations to prepare for elimination?
Back
You can multiply one or both equations by a constant to make the coefficients of one variable opposites.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the solution to the system: 4x + 4y = 10 and 4x + 4y = 10?
Back
The solution is infinite solutions, as both equations are identical.
Tags
CCSS.8.EE.C.8B
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