Linear Systems Substitution Method
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the substitution method in solving linear systems?
Back
The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation to find the values of both variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into both equations. If both equations are satisfied, the point is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
If a system has no solution, it means the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations with infinitely many solutions?
Back
The graphical representation is two identical lines, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
When is the substitution method preferred over the elimination method?
Back
The substitution method is preferred when one equation is easily solvable for one variable, making substitution straightforward.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19 using the substitution method?
Back
The solution is (2, 5).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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