Solving Linear Equations

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•
Mathematics
•
8th Grade - University
•
Hard
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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 solve a linear equation?
Back
To solve a linear equation means to find the value of the variable (usually x) that makes the equation true.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 6(2x + 1) = 18?
Back
Distribute the 6 to both terms inside the parentheses: 12x + 6 = 18.
4.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation 7 - 5x = 12?
Back
Subtract 7 from both sides to get -5x = 5, then divide by -5 to find x = -1.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation 2 - 4x = 3x - 12?
Back
The solution is x = 2.
6.
FLASHCARD QUESTION
Front
What is the process to solve the equation 7 - 2(10x + 1) = 25?
Back
First, distribute -2: 7 - 20x - 2 = 25. Then combine like terms and isolate x to find x = -1.
7.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 10 = 3x - 12?
Back
Add 12 to both sides to get 22 = 3x, then divide by 3 to find x = 22/3.
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