Hanger Diagrams

Hanger Diagrams

Assessment

Flashcard

Mathematics

7th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a hanger diagram?

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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