Solving 3-variable systems REVIEW
Flashcard
•
Mathematics
•
9th - 12th 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 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 are the two main methods for solving systems of equations?
Back
The two main methods for solving systems of equations are substitution and elimination.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
How does the substitution method work?
Back
In the substitution method, one equation is solved for one variable, and then that expression is substituted into the other equation(s) to solve for the remaining variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How does the elimination method work?
Back
In the elimination method, equations are manipulated (by addition or subtraction) to eliminate one variable, allowing the remaining variables to be solved.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system of equations has at least one solution, meaning the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system of equations has no solution, meaning the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is a dependent system of equations?
Back
A dependent system of equations has infinitely many solutions, meaning the equations represent the same line.
Tags
CCSS.8.EE.C.8B
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