Systems of Equations -- Elimination

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
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
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations using elimination?
Back
It 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
A technique used to solve systems of equations by eliminating one variable through addition or subtraction.
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 they are parallel, there is no solution; if they are the same line, there are infinitely many solutions.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
Align the equations and manipulate them to have the same coefficient for one of the variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
Solve the system using elimination: 3x + 2y = 16 and 7x + y = 19.
Back
(2, 5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
Solve for x and y: 3x - 3y = 33 and 6x - 3y = 57.
Back
(8, -3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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