Solving Systems Using Substitution
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+2
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 of the equations for one variable and then substituting that expression into the other equation to find the values of the variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
A system has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution?
Back
A system has one solution if the lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the first step in using substitution to solve the system: 3x + 3y = 3 and y = 3x + 5?
Back
The first step is to substitute the expression for y from the second equation into 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 of equations 2x + 3y = 4 and y = 5x - 27?
Back
The solution is (5, -2).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in the context of systems of equations?
Back
If two lines are parallel, it means they have the same slope but different y-intercepts, resulting in no solutions for the system.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How can you check your solution after solving a system of equations?
Back
You can check your solution by substituting the values back into the original equations to see if they hold true.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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