Systems Word Problems

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+5
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 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 the equations 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 independent?
Back
Independent equations have different slopes and intersect at exactly one point, meaning there is one unique solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean if two equations in a system are dependent?
Back
Dependent equations represent the same line, meaning there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if two equations in a system are inconsistent?
Back
Inconsistent equations have no solutions because they represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
Solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
Add or subtract the equations to eliminate one variable, making it easier to solve for the remaining variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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