9/24 solving equations with variables on both sides 3

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 8x - 8 = -4x + 16?
Back
Combine like terms by adding 4x to both sides: 8x + 4x - 8 = 16.
2.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation f - 4 = 6f + 26?
Back
Add 4 to both sides and then subtract 6f from both sides to isolate f.
3.
FLASHCARD QUESTION
Front
What is the solution to the equation -15v - 40 = 23 - 8v?
Back
Combine like terms to find v = -9.
4.
FLASHCARD QUESTION
Front
What is the process to solve 10x + 9 = 4x - 9?
Back
Subtract 4x from both sides and then subtract 9 from both sides.
5.
FLASHCARD QUESTION
Front
How do you solve the equation 12x - 15 = 6x + 9?
Back
First, combine like terms by subtracting 6x from both sides.
6.
FLASHCARD QUESTION
Front
What does it mean to have variables on both sides of an equation?
Back
It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate it.
7.
FLASHCARD QUESTION
Front
What is the importance of combining like terms in solving equations?
Back
Combining like terms simplifies the equation, making it easier to isolate the variable.
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