Solving System of Equations by graphing
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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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
How can you solve a system of equations graphically?
Back
To solve a system of equations graphically, you graph each equation on the same coordinate plane and identify the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at a single point?
Back
If two lines intersect at a single point, it means there is a unique solution to the system of equations represented by those lines.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
If two lines are parallel, it means they have no points of intersection and therefore the system of equations has no solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide?
Back
If two lines coincide, it means they lie on top of each other, resulting in infinitely many solutions to the system of equations.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the graphical representation of the solution (1, 3)?
Back
The point (1, 3) is the intersection point of the two lines representing the equations in the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How do you determine the solution from a graph?
Back
To determine the solution from a graph, locate the point where the lines intersect; this point's coordinates are the solution to the system.
Tags
CCSS.8.EE.C.8B
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