Equations with variables on both sides

Flashcard
•
Mathematics
•
8th Grade
•
Hard
Wayground Content
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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 that contains variables on both the left and right sides, requiring manipulation to isolate the variable.
2.
FLASHCARD QUESTION
Front
How do you solve an equation with variables on both sides?
Back
To solve, first simplify both sides if necessary, then move all variable terms to one side and constant terms to the other side.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 3x + 5 = 2x + 10?
Back
Subtract 2x from both sides to get x + 5 = 10.
4.
FLASHCARD QUESTION
Front
What does it mean for two expressions to be equal?
Back
It means that the values of the expressions are the same for the same input.
5.
FLASHCARD QUESTION
Front
How do you check if your solution to an equation is correct?
Back
Substitute the solution back into the original equation to see if both sides are equal.
6.
FLASHCARD QUESTION
Front
What is the significance of the variable in an equation?
Back
The variable represents an unknown value that we are trying to solve for.
7.
FLASHCARD QUESTION
Front
In the context of shipping costs, how can you set up an equation to compare two companies' charges?
Back
Define the total cost for each company as a function of the weight, then set the two functions equal to each other.
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