Systems of Equations: Choosing the Best Method
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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 that are solved simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What are the three main methods for solving systems of equations?
Back
The three main methods are substitution, elimination, and graphing.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
When is the elimination method most useful?
Back
The elimination method is most useful when the coefficients of one variable are opposites or can be easily manipulated to become opposites.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
If a system has no solution, it means the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
If a system has infinitely many solutions, it means the equations represent the same line, and there are countless points of intersection.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How can you determine the best method to solve a system of equations?
Back
The best method depends on the specific equations; consider factors like the form of the equations and the coefficients.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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