Systems of Linear Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
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. Solutions are the points where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of linear equations?
Back
Finding the values of the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What are the three methods to solve a system of linear equations?
Back
1. Graphing 2. Substitution 3. Elimination
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of linear equations?
Back
The lines representing each equation on a coordinate plane, where the intersection point(s) represent the solution(s).
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has no solution?
Back
The lines are parallel and do not intersect, indicating that there are no values that satisfy all equations.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has an infinite number of solutions?
Back
The equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
Substitute the point's coordinates into each equation. If all equations are satisfied, the point is a solution.
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