Equations with variables on both sides

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an equation with variables on both sides?
Back
An equation that has variables on both the left and right sides, requiring manipulation to isolate the variable.
2.
FLASHCARD QUESTION
Front
How do you solve the equation 2x = x + 3?
Back
Subtract x from both sides to get x = 3.
3.
FLASHCARD QUESTION
Front
What is the solution to the equation -3(1+n) - 2n = -6(n - 2)?
Back
The solution is n = 15.
4.
FLASHCARD QUESTION
Front
How do you simplify the equation -6(1 - 6r) = -2(r + 3)?
Back
Distribute and combine like terms to find r = 0.
5.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 5 - 2t = 3t?
Back
Add 2t to both sides to get 5 = 5t.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation x/8 = -2?
Back
Multiply both sides by 8 to find x = -16.
7.
FLASHCARD QUESTION
Front
What does it mean to isolate a variable in an equation?
Back
To manipulate the equation so that the variable is alone on one side.
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