Systems of Equations
Flashcard
•
Mathematics
•
8th - 11th Grade
•
Practice Problem
•
Hard
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 an ordered pair to be a solution of a system of equations?
Back
An ordered pair (x, y) is a solution of a system of equations if it satisfies all equations in the system when substituted for x and y.
3.
FLASHCARD QUESTION
Front
How can you determine if an ordered pair is a solution to a system of equations?
Back
Substitute the x and y values of the ordered pair into each equation. If both equations are true, then the ordered pair is a solution.
4.
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
5.
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 other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the graphical method for solving systems of equations?
Back
The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) where the graphs intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in the context of systems of equations?
Back
If two lines are parallel, it means they have no points of intersection, indicating that the system of equations has no solution.
Tags
CCSS.8.EE.C.8A
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