2.1-Tape Diagrams and Equations Modeling

Which equation is represented in this tape diagram?

• x+5=35

• 35x=5

• 5x=35

• 35-x=x

• 7

• 5

• 35

• 5x

What equation is represented in this tape diagram?

• x+3=9

• 9x=3

• 3x=9

• 9+3=x

• 3x

• 9

• 3

• 1/3

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Select ALL equations that are represented in this diagram.

HINT: There is more than one equation representing the diagram!

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What is the tape diagram for the story below:

Five students came for after-school tutoring. Lin’s teacher assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. 

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The diagram can be represented by the equation

25 = 2 + 6x

Where can you see the 6 in the diagram?

• There is no 6 in the diagram.

• 6 equal parts labeled x

• 6 is divisible by 2

Shaun has 4 boxes. Each box has the same number of items. After removing 1 item from each box, he had 28 items left. Which equation best represents the story?

• x - 1 = 28

• 4(x - 1) = 28

• 4x - 1 = 28

• x - 4 = 28

Shaun has 4 boxes. Each box has the same number of items. After removing 1 item from each box, he had 28 items left.

What part of the story does x represent?

• The total items

• The items Shaun removed

• The number of items in 1 box before anything is removed.

• The number of items in 1 box after something is removed.