Solving Systems by Substitution
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+4
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 both variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
A system of equations has no solution if the equations represent parallel lines, which means they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
A system of equations has infinitely many solutions if the equations represent the same line, meaning they have the same slope and y-intercept.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
How can you check if your solution to a system of equations is correct?
Back
You can check your solution by substituting the values of the variables back into the original equations to see if they satisfy both equations.
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
What is the significance of the point of intersection in a system of equations?
Back
The point of intersection represents the solution to the system of equations, indicating the values of the variables that satisfy both equations.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
How do you solve the equation y = 2x + 1 for x?
Back
To solve for x, you can rearrange the equation to x = (y - 1)/2.
Tags
CCSS.6.EE.C.9
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