Systems of Equations--Substitution
Flashcard
•
Mathematics
•
8th - 9th 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 is the point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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 by itself.
Tags
CCSS.6.EE.B.7
4.
FLASHCARD QUESTION
Front
Given the equations 3x + 2y = 16 and y = -7x + 19, what is the first step in using substitution?
Back
First, substitute the expression for y from the second equation into the first equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system 3x + 2y = 16 and y = -7x + 19?
Back
The solution is (2, 5).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How do you check if a solution is correct for a system of equations?
Back
Substitute the solution back into both original equations. If both equations are true, the solution is correct.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What does it mean if two lines represented by equations are parallel?
Back
If two lines are parallel, they have no points of intersection, meaning there is no solution to the system of equations.
Tags
CCSS.8.EE.C.8A
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