solve systems by graphing
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the solution to a system of equations when two lines intersect?
Back
The solution is the point of intersection of the two lines, which represents the values of the variables that satisfy both equations.
Tags
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel when graphing a system of equations?
Back
If two lines are parallel, it means there is no solution to the system of equations, as the lines never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it indicate if two lines overlap when graphed?
Back
If two lines overlap, it indicates that there are infinitely many solutions to the system of equations, as every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations by graphing?
Back
You can determine the number of solutions by observing the intersection points of the lines: no intersection means no solution, one intersection means one solution, and overlapping lines mean infinitely many solutions.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the graphical representation of the equation y = 2x + 3?
Back
The graph is a straight line with a slope of 2 and a y-intercept of 3.
6.
FLASHCARD QUESTION
Front
If a system of equations has one solution, what does that look like on a graph?
Back
It looks like two lines intersecting at a single point.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.
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