Systems of Equations
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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
What does it mean for a system of equations to be consistent?
Back
A consistent system of equations has at least one solution, meaning the lines represented by the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system of equations has no solutions, meaning the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation of a system of equations is the intersection of the lines on a coordinate plane, which shows the solution(s) of the system.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
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
6.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting 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
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.
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