Systems of Equations--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 set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
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(s) to find the values of the variables.
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 by itself.
Tags
CCSS.6.EE.B.7
4.
FLASHCARD QUESTION
Front
What does it mean to solve for x and y in a system of equations?
Back
Solving for x and y means finding the values of x and y that make both equations true at the same time.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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
If you have the equations y = 2x + 3 and 4x - y = 1, how would you use substitution?
Back
You would substitute 2x + 3 for y in the second equation: 4x - (2x + 3) = 1.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations y = 2x + 3 and 4x - y = 1?
Back
The solution is (1, 5), meaning x = 1 and y = 5.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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