Systems of Equations with Elimination and Substitution

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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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.
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 the elimination method and the substitution method.
3.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.
4.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
5.
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.
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
A system of equations has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.
7.
FLASHCARD QUESTION
Front
How do you determine if a system of equations is consistent or inconsistent?
Back
A system is consistent if it has at least one solution; it is inconsistent if it has no solutions.
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