Solve Systems of Equations by Substitution
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
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 does it mean to solve a system of equations by substitution?
Back
Solving by substitution 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, perform inverse operations to get the variable on one side of the equation and all other terms on the opposite side.
Tags
CCSS.7.EE.B.4A
4.
FLASHCARD QUESTION
Front
What is the first step in solving the system: x = 6, y = 2x - 3?
Back
Substitute x = 6 into the second equation: y = 2(6) - 3.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system: y = 2x + 1 and y = 4x - 1?
Back
The solution is (1, 3).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
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
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation is the intersection point(s) of the lines on a coordinate plane.
Tags
CCSS.8.EE.C.8B
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