Equations & Tape Diagrams

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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Tags

CCSS.7.EE.B.4A

Which tape diagram represents the story below:

Lin had 90 flyers to hang up around the school. She gave 12 flyers to each of three volunteers. Then she took the remaining flyers and divided them up equally between the three volunteers.

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Tags

CCSS.HSA.CED.A.3

Which tape diagram represents the story below:

Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.

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Tags

CCSS.7.EE.B.4A

A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?

• 35

• 15

• 25

• 45

Tags

CCSS.HSA.CED.A.3

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 in the diagram.

• 6 equal parts labeled x

• 6 is divisible by 2

Tags

CCSS.HSA.CED.A.3

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation 2(x+20)=90 describes this situation. What does x represent in this story?

• The number of minutes that Elena walked

• The number of minutes that Jada walked

• The number of minutes that Lin walked

• Neither

Tags

CCSS.HSA.CED.A.3

Shaun has four boxes. Each boxes 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

Tags

CCSS.HSA.CED.A.3

Shaun has four boxes. Each boxes 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.

Tags

CCSS.7.EE.B.4A

Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a $2 donation to the food bank in weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift.

How much does Andre’s neighbor pay him each week to mow the lawn?

• $12

• $10

• $8

• $6

Tags

CCSS.6.EE.B.6

Here is a tape diagram, what is the equation for the diagram?

• 5(x + 17) = 23

• 23 = x + 17

• 5x + 85 = 23

• 23 = 4x + 17

Tags

CCSS.HSA.CED.A.3