System of Equations - Graphing
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+3
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 to the system is the set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line or plane, and there are an infinite number of points that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations graphically?
Back
By graphing the equations, you can observe the points of intersection. If the lines intersect at one point, there is one solution; if they are parallel, there are no solutions; if they are the same line, there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a solution to a system of equations?
Back
The solution is represented by the point(s) where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by y = 2x + 1 and y = -x + 4?
Back
The solution is (1, 3), where the two lines intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What does it mean if two lines in a system of equations are parallel?
Back
It means that the lines have the same slope but different y-intercepts, resulting in no solutions for the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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