Solving Linear Systems: Graphing, Substitution, Elimination
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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16 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 to solve a linear system?
Back
To solve a linear system means to find 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 is the substitution method?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What does it mean if a linear system has no solution?
Back
A linear system has no solution if the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a linear system has infinitely many solutions?
Back
A linear system has infinitely many solutions if the equations represent the same line, meaning they intersect at every point on that line.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you graph a linear equation?
Back
To graph a linear equation, you can find two or more points that satisfy the equation and then draw a straight line through those points.
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