Systems (Substituting Points)
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•
Mathematics
•
8th Grade
•
Hard
+1
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
What does it mean for a point to be a solution to a system of equations?
Back
A point is a solution to a system of equations if it satisfies all equations in the system when substituted for the variables.
3.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to an equation?
Back
To determine if a point is a solution, substitute the x and y values of the point into the equation and check if the equation holds true.
4.
FLASHCARD QUESTION
Front
What is substitution in the context of solving systems of equations?
Back
Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation is the intersection points of the lines represented by the equations on a coordinate plane.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, it means they have no points of intersection, indicating that the system has no solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions.
Tags
CCSS.8.EE.C.8A
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