Solve systems by elimination

Flashcard
•
Mathematics
•
9th - 12th Grade
•
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 the other variable to be solved directly.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you eliminate a variable in a system of equations?
Back
To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one of the variables are opposites, allowing you to add or subtract the equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What is the first step in using the elimination method?
Back
The first step is to align the equations and decide which variable to eliminate.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What do you do after eliminating a variable in a system of equations?
Back
After eliminating a variable, solve the resulting equation for the remaining variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
How do you find the value of the eliminated variable after solving for the other variable?
Back
Substitute the value of the solved variable back into one of the original equations to find the value of the eliminated variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system has no solution if the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
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