Systems of Linear Equations

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of two or more linear equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
It means there is exactly one set of values for the variables that satisfies all equations in the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How do you graph a linear equation?
Back
You can graph a linear equation by finding two or more points that satisfy the equation and connecting them with a straight line.
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the point of intersection of two lines?
Back
The point of intersection is the solution to the system of equations, where the two lines meet.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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