3 Variable Systems by Elimination

Flashcard
•
Mathematics
•
11th Grade
•
Hard
+2
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 set of values that satisfy all equations simultaneously.
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 by elimination?
Back
Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variables.
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 for solving systems of equations by removing one variable, allowing for simpler equations to solve.
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 no solution?
Back
A system has no solution if the equations represent parallel lines, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
Infinitely many solutions occur when the equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
6.
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 and manipulate them to create coefficients that can be easily eliminated.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How can you check your solution to a system of equations?
Back
You can check your solution by substituting the values back into the original equations to see if they hold true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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