
Graphing Systems of Equations
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by graphing?
Back
It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point(s) where the equations intersect, representing the values of the variables that satisfy all equations in the system.
4.
FLASHCARD QUESTION
Front
How do you graph the equation y = mx + b?
Back
Plot the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running from the y-intercept.
5.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = 1/2x + 2?
Back
The slope is 1/2, indicating that for every 2 units you move right, you move up 1 unit.
6.
FLASHCARD QUESTION
Front
What is the y-intercept of the equation y = -3x + 9?
Back
The y-intercept is 9, which is the point where the line crosses the y-axis.
7.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the lines are parallel and never intersect, the system has no solution.
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