5-3 Substitution Method

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•
Mathematics
•
6th - 8th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
How do you solve the equation -7x - 2y = -13 for y?
Back
To solve for y, rearrange the equation: 2y = -7x + 13, then y = (-7/2)x + 13/2.
3.
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.
4.
FLASHCARD QUESTION
Front
Given the equations y = 2x - 4 and 7x - 2y = 5, how do you use substitution to find the solution?
Back
Substitute y = 2x - 4 into the second equation: 7x - 2(2x - 4) = 5, then solve for x.
5.
FLASHCARD QUESTION
Front
What is the solution to the system of equations -7x - 2y = -13 and x = 2y + 11?
Back
The solution is (3, -4).
6.
FLASHCARD QUESTION
Front
How do you check if a solution (x, y) is correct for a system of equations?
Back
Substitute the values of x and y into both original equations. If both equations are satisfied, the solution is correct.
7.
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.
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