Solving Systems of Equations by Graphing
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
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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 for a system of equations to have infinite solutions?
Back
A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
How do you identify the slope from a graph?
Back
The slope is identified as the ratio of the rise (change in y) to the run (change in x) between two points on the line.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.
5.
FLASHCARD QUESTION
Front
How can you graph a system of equations?
Back
To graph a system of equations, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean when two lines are parallel in a system of equations?
Back
When two lines are parallel, they have the same slope but different y-intercepts, indicating that there are no solutions to the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a solution to a system of equations?
Back
The graphical representation of a solution is the point of intersection of the lines representing the equations.
Tags
CCSS.8.EE.C.8B
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