Substitution Method

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 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
2.
FLASHCARD QUESTION
Front
How do you solve for y in the equation y = 2x + 1?
Back
To solve for y, simply substitute any value of x into the equation. For example, if x = 1, then y = 2(1) + 1 = 3.
Tags
CCSS.HSF.IF.A.2
3.
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 will never intersect.
Tags
CCSS.8.EE.C.8A
4.
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 thus every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
Solve the system using substitution: y = 3x - 8 and y = 4 - x. What is the solution?
Back
The solution is (3, 1).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
If you have the equations y = 2x + 1 and y = 4x - 1, how do you find the solution?
Back
Set the two equations equal to each other: 2x + 1 = 4x - 1, then solve for x.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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