Mod 6 Review : Systems Graphically (Math)

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear 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 linear equations graphically?
Back
To solve a system of linear equations graphically, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at a single point?
Back
If two lines intersect at a single point, it means the system of equations has one unique solution.
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel?
Back
If two lines are parallel, it means the system of equations has no solution, as the lines never intersect.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a system with infinitely many solutions?
Back
The graphical representation of a system with infinitely many solutions is when the two lines overlap completely, indicating that they are the same line.
6.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution to a system of equations, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.
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