Solving systems with graphing and substitution
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation to find the values of both variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you determine if two lines are parallel when given their equations?
Back
Two lines are parallel if they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.B.6
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system of equations has no solution if the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution to a system of equations is the point (or points) where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
You can check your solution by substituting the values back into the original equations to see if they hold true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation of a system of equations consists of the lines or curves that represent each equation on a coordinate plane.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
A system of equations has infinitely many solutions if the equations represent the same line, meaning they intersect at every point on that line.
Tags
CCSS.8.EE.C.8A
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