Systems- Substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
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 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 identify which equation to solve first in the substitution method?
Back
Choose the equation that is easiest to solve for one variable, typically the one with a coefficient of 1 or -1.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What is the first step in using the substitution method?
Back
Isolate one variable in one of the equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
If you have the equations y = 2x + 3 and 4x + y = 11, how would you solve using substitution?
Back
Substitute y from the first equation into the second: 4x + (2x + 3) = 11, then solve for x.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, and every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
Solve the system using substitution: y = 3x + 1 and 2x - y = 4. What is the solution?
Back
The solution is (1, 4).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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