Solving Linear Equations
Flashcard
•
Mathematics
•
8th Grade - University
•
Practice Problem
•
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 that makes a straight line when graphed. 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 x - 5 = 7?
Back
Add 5 to both sides of the equation to isolate x.
4.
FLASHCARD QUESTION
Front
What is the solution to the equation 5x = -35?
Back
x = -7, found by dividing both sides by 5.
5.
FLASHCARD QUESTION
Front
How do you isolate the variable in the equation 2 - 4x = 3x - 12?
Back
Combine like terms and move all terms involving x to one side of the equation.
6.
FLASHCARD QUESTION
Front
What is the solution to the equation 7 - 5x = 12?
Back
x = -1, found by isolating x on one side.
7.
FLASHCARD QUESTION
Front
What is the purpose of checking your solution in a linear equation?
Back
To verify that the value found for the variable satisfies the original equation.
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