
MTSS Solving Systems of Equations by Graphing
Flashcard
•
Mathematics
•
9th - 11th 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 system of equations is a set of two or more equations with the same variables. The solution to the system is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
How do you solve a system of equations by graphing?
Back
To solve a system of equations by graphing, you graph each equation on the same coordinate plane and identify the point(s) where the graphs intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, it means they have the same slope and will never intersect, indicating that the system has no solution.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
If two lines coincide, they lie on top of each other, meaning there are infinitely many solutions to the system.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations (y = 2x + 1) and (y = -x + 4)?
Back
The solution is the point where the two lines intersect, which can be found by graphing or solving algebraically. The intersection point is (1, 3).
6.
FLASHCARD QUESTION
Front
What is the significance of the point (0, 3) in a system of equations?
Back
The point (0, 3) is the y-intercept of the line represented by the equation y = 3. It indicates where the line crosses the y-axis.
7.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
You can determine the number of solutions by analyzing the slopes and y-intercepts of the lines: one solution (intersecting lines), no solution (parallel lines), or infinitely many solutions (coinciding lines).
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