Systems of Equations: Substitution Method

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Mathematics
•
9th - 11th Grade
•
Medium
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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 is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.
3.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system has no solution if the equations represent parallel lines that never intersect.
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.
6.
FLASHCARD QUESTION
Front
How do you check if your solution to a system of equations is correct?
Back
You can check the solution by substituting the values back into the original equations to see if they hold true.
7.
FLASHCARD QUESTION
Front
What is the first step in using the substitution method?
Back
The first step is to solve one of the equations for one variable in terms of the other variable.
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