Systems Word Problems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and ensure they reflect the problem's constraints.
Tags
CCSS.HSA.CED.A.3
3.
FLASHCARD QUESTION
Front
What does it mean if two equations in a system are dependent?
Back
It means they represent the same line and have infinitely many solutions.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean if two equations in a system are independent?
Back
It means they represent different lines and have exactly one solution.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if two equations in a system are inconsistent?
Back
It means they represent parallel lines and have no solutions.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you check if a solution is correct for a system of equations?
Back
Substitute the solution back into both equations to see if they hold true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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