Equations with variable on both sides

Flashcard
•
Mathematics
•
7th - 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 where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.
2.
FLASHCARD QUESTION
Front
How do you solve the equation 9 + 2a = -3 - 4a?
Back
Combine like terms: 9 + 2a + 4a = -3; 6a = -12; a = -2.
3.
FLASHCARD QUESTION
Front
What is the first step in solving 7x - 4 = 3 + 8x?
Back
Isolate the variable by moving all terms involving x to one side: 7x - 8x = 3 + 4.
4.
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 of the equal sign.
5.
FLASHCARD QUESTION
Front
Solve for k: 4k + 39 = 7k + 6.
Back
k = 11.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation 5x - 14 = 8x + 4?
Back
x = -6.
7.
FLASHCARD QUESTION
Front
What is the process of combining like terms?
Back
Adding or subtracting terms that have the same variable raised to the same power.
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