Linear Systems Substitution Method
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear system?
Back
A linear system is a collection of two or more linear equations involving the same variables.
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?
Back
To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
The substitution method is a technique for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
A point is a solution if it satisfies all equations in the system when the coordinates are substituted into the equations.
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
What does it mean if a system of equations has no solution?
Back
It means that the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and there are countless points that satisfy both equations.
Tags
CCSS.8.EE.C.8A
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