Solving Systems by Elimination
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system by elimination?
Back
Solving a system by elimination 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
3.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
The elimination method is a technique used to solve systems of equations by removing one variable, allowing for the other variable to be solved directly.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution, no solution, or infinitely many solutions?
Back
If the lines intersect at one point, there is one solution. If the lines are parallel, there is no solution. If the lines coincide, there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
The first step is to align the equations so that corresponding variables and constants are in the same columns.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How can you make the coefficients of one variable the same in both equations?
Back
You can multiply one or both equations by a number to make the coefficients of one variable equal.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the solution to the system: 2x + 9y = -7 and 6x - 3y = 9?
Back
(1, -1)
Tags
CCSS.HSA.REI.C.9
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