Solving Linear Equations

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does it mean to 'combine like terms'?
Back
Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 2x, you can combine them to get 5x.
3.
FLASHCARD QUESTION
Front
What is the purpose of isolating the variable in an equation?
Back
Isolating the variable means getting the variable alone on one side of the equation to solve for its value.
4.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 5k + 6 = -9?
Back
Subtract 6 from both sides of the equation to isolate the term with the variable.
5.
FLASHCARD QUESTION
Front
How do you simplify the expression 3x - 5x?
Back
Combine the like terms to get -2x.
6.
FLASHCARD QUESTION
Front
What is the result of simplifying 3x + 2x?
Back
The result is 5x.
7.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?
Back
Combine like terms 3x and 4x on the same side of the equation.
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