Systems of equations

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
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 for a system of equations to have a unique solution?
Back
A system of equations has a unique solution if there is exactly one set of values for the variables that satisfies all equations in the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution if there are no values for the variables that can satisfy all equations simultaneously, often due to parallel lines.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
A system of equations has infinitely many solutions if there are an infinite number of values for the variables that satisfy all equations, typically when the equations represent the same line.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How can you determine if two lines represented by equations are parallel?
Back
Two lines are parallel if they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.B.5
6.
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
7.
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
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