Solving Systems of 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 equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system of equations has no solution if the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.
4.
FLASHCARD QUESTION
Front
What is the substitution method for 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 for 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 does it mean for a system of equations to have infinitely many solutions?
Back
A system has infinitely many solutions if 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 graphically represent a system of equations?
Back
A system of equations can be represented graphically by plotting each equation on the same coordinate plane and identifying the points of intersection.
Tags
CCSS.8.EE.C.8B
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