Writing Systems of Linear Equations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that represents a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of linear equations?
Back
To solve a system of linear equations 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 graphical representation of a system of linear equations?
Back
The graphical representation of a system of linear equations consists of the lines corresponding to each equation. The point(s) where the lines intersect represent the solution(s) of the system.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
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
5.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system of equations has at least one solution, meaning the lines intersect at one or more points.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is an inconsistent system of equations?
Back
An inconsistent system of equations has no solutions, meaning the lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
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