What is a hanger diagram?

Hanger Diagrams

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Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A hanger diagram is a visual representation used in algebra to illustrate equations, where weights are balanced on a hanger to show equality.
2.
FLASHCARD QUESTION
Front
What does the equation 7 = 3w + 1 represent in a hanger diagram?
Back
It represents a situation where the total weight on one side of the hanger is equal to the weight represented by 3 times a variable 'w' plus 1.
3.
FLASHCARD QUESTION
Front
How do you interpret the equation 6 = 2y + 3 in a hanger diagram?
Back
This equation shows that the total weight of 6 is balanced by 2 times a variable 'y' plus an additional weight of 3.
4.
FLASHCARD QUESTION
Front
What is the significance of the variable in hanger diagrams?
Back
Variables in hanger diagrams represent unknown weights that can be solved for using algebraic equations.
5.
FLASHCARD QUESTION
Front
What does the equation 6.8 = 2z + 2.2 indicate?
Back
It indicates that the total weight of 6.8 is balanced by 2 times a variable 'z' plus an additional weight of 2.2.
6.
FLASHCARD QUESTION
Front
How can you solve the equation 2 + 5x = 19?
Back
To solve, subtract 2 from both sides to get 5x = 17, then divide by 5 to find x = 3.4.
7.
FLASHCARD QUESTION
Front
What does the equation 2y + 10 = 31 represent?
Back
It represents a situation where the total weight of 31 is balanced by 2 times a variable 'y' plus an additional weight of 10.
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