Substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is substitution in algebra?
Back
Substitution is a method used to solve systems of equations by replacing one variable with an expression involving another variable.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
How do you solve for y in the equation y = -2x + 18 when y = 8?
Back
Substituting 8 for y gives: 8 = -2x + 18. Solving for x results in x = 5.
Tags
CCSS.HSF.IF.A.2
3.
FLASHCARD QUESTION
Front
What is the first step in solving the system of equations x + 2y = 2 and x = -4y + 2?
Back
Substitute -4y + 2 for x in the first equation: -4y + 2 + 2y = 2.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
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 do not intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations x - 3y = -13 and 4x + 2y = 4?
Back
The solution is (-1, 4).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How do you find the intersection point of two lines given by their equations?
Back
Set the equations equal to each other and solve for one variable, then substitute back to find the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the significance of the point (2, 0) in the context of the equations x + 2y = 2 and x = -4y + 2?
Back
It is the solution to the system of equations, meaning it satisfies both equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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