Solve Systems by Substitution
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 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 by substitution?
Back
Solving a system 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: x + 2y = 2 and x = -4y + 2?
Back
The first step is to substitute -4y + 2 for x in the first equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the solution to the system: y = -6x + 5 and -2x + y = 5?
Back
The solution is (0, 5).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the equations do not intersect at any point.
Tags
CCSS.8.EE.C.8B
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