Solving Systems of Linear Equations in Two Variables
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+3
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect in a system of linear equations?
Back
When two lines intersect, it means there is a unique solution to the system of equations, represented by the coordinates of the intersection point.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation in two variables?
Back
The graphical representation of a linear equation in two variables is a straight line on a coordinate plane.
4.
FLASHCARD QUESTION
Front
What is the elimination method for solving systems of linear equations?
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 system of linear equations has infinitely many solutions?
Back
If a system has infinitely many solutions, it means the equations represent the same line, and every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you determine if a system of linear equations has no solution?
Back
A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of linear 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
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