Solving Systems of Equations

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 equations?
Back
A set of two or more equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
It means there is exactly one set of values for the variables that satisfies all equations in the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means the equations represent the same line, so there are countless points of intersection.
Tags
CCSS.8.EE.C.8A
5.
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
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 other.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The solution is represented by the point(s) where the lines intersect on a graph.
Tags
CCSS.8.EE.C.8A
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