Systems of Equations
Flashcard
•
Mathematics
•
7th - 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 set of two or more equations with the same variables that are solved together.
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 ordered pair (x, y) 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 infinite solutions?
Back
It means the equations represent the same line, so every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you determine if an ordered pair is a solution to a system of equations?
Back
Substitute the values of the ordered pair into each equation to see if they hold true.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation consists of lines on a coordinate plane, where their intersections represent solutions.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
It involves solving one equation for one variable and substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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