06.03.2024 Algebra A: Unit Review Solving Systems of Equations
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•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
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
It means 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 infinite solutions?
Back
It means there are countless sets of values for the variables that satisfy all equations, typically when the equations represent the same line.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means there are no values for the variables that can satisfy all equations in the system, often when the equations represent parallel lines.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the equations are parallel and have the same slope but different y-intercepts, the system has no solution.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where you solve one equation for one variable and substitute that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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