Systems, Picking Best Method
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
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 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
When is the substitution method preferred over elimination?
Back
The substitution method is preferred when one equation is easily solvable for one variable, allowing for straightforward substitution into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
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 that are solved simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the graphical method of solving systems of equations?
Back
The graphical method involves plotting the equations on a graph and identifying the point(s) where they intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How do you determine which method to use for solving a system of equations?
Back
Consider the form of the equations: use substitution if one equation is easily solvable for a variable; use elimination if the coefficients are conducive to cancellation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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