Solving by Elimination - Addition
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Wayground Content
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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 is the first step in using the elimination method?
Back
The first step is to align the equations so that the coefficients of one variable are opposites, allowing for easy elimination when the equations are added or subtracted.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
Given the equations 2x - y = -15 and -2x + 3y = 30, what is the result of adding them together?
Back
5y = 45.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you solve the system of equations x + y = 6 and -x + y = 4 using elimination?
Back
Add the two equations to eliminate x: (x + y) + (-x + y) = 6 + 4, resulting in 2y = 10, so y = 5. Substitute y back to find x: x + 5 = 6, thus x = 1.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30?
Back
The solution is (7, -1).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What does it mean if two equations are dependent?
Back
Dependent equations have infinitely many solutions, as they represent the same line in a graph.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two equations are inconsistent?
Back
Inconsistent equations have no solution, as they represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
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