Solving Linear Systems
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of two or more linear equations involving the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a linear system?
Back
If two lines are parallel, it means they have the same slope and will never intersect, resulting in no solution for the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the solution of a linear system?
Back
The solution of a linear system is the point where the lines intersect, representing the values of the variables that satisfy all equations in the system.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A linear equation is represented graphically as a straight line on a coordinate plane.
5.
FLASHCARD QUESTION
Front
How can you determine if a linear system has one solution, no solution, or infinitely many solutions?
Back
One solution occurs when lines intersect at a single point, no solution occurs when lines are parallel, and infinitely many solutions occur when lines coincide.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.
Tags
CCSS.8.EE.B.5
7.
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) in the equation y = mx + b.
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