Solving Equations with Variables on both sides

Flashcard
•
Mathematics
•
6th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an equation?
Back
An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.
2.
FLASHCARD QUESTION
Front
What does it mean to solve an equation?
Back
To solve an equation means to find the value(s) of the variable(s) that make the equation true.
3.
FLASHCARD QUESTION
Front
What are variables in an equation?
Back
Variables are symbols (like x, y, or r) that represent unknown values in mathematical expressions or equations.
4.
FLASHCARD QUESTION
Front
What does it mean to have variables on both sides of an equation?
Back
It means that the variable appears in expressions on both the left and right sides of the equation.
5.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other side.
6.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 3r + 7 = 10r + 28?
Back
The first step is to move all terms containing the variable to one side and constant terms to the other side.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 3r + 7 = 10r + 28?
Back
The solution is r = -3.
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