Solving Systems by Substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+4
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 a system of equations 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, you 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 of equations y = 2x + 1 and y = 4x - 1 by substitution?
Back
The first step is to set the two equations equal to each other since they both equal y: 2x + 1 = 4x - 1.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 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 is the graphical representation of a system of equations?
Back
The graphical representation of a system of equations is the intersection point(s) of the lines represented by the equations on a coordinate plane.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, it means they have no points of intersection, indicating that the system has no solution.
Tags
CCSS.8.EE.C.8A
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