PSABM6PB - Student Facing Task---Acc7.3 Lesson 11 Using Equations to Solve Problems (7.EE.B.3, 7.EE.B.4, 7.EE.B.4.a)
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Part A)

Write a story that could be represented by this tape diagram.

 

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Part B)

Write an equation that could be represented by this tape diagram.

 

24 = ________        

 

Use a as your variable.

Type your answer below (mathematical expression):
Part A)

Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.

How many total invitations is Tyler trying to make?

 

Do not include units (invitations) in your answer.

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

How many invitations has he made already?

 

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Part C)

How many days does he have to finish the invitations?

 

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Part D)

Explain how each part of the situation is represented in Tyler’s diagram.

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Part E)

How many invitations should Tyler make each day to finish his goal within a week? 

 

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Part F)

Explain or show your reasoning.

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Part G)

Use Tyler’s diagram to write an equation that represents the situation.

122 = _____________  

 

Use x as your variable.

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Part H)

Explain how each part of the situation is represented in your equation.

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Part I)

Show how to solve your equation.

 

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Part A)

Noah and his sister are making prize bags for a game at the fair. Noah is putting 7 pencil erasers in each bag. His sister is putting in some number of stickers. After filling 3 of the bags, they have used a total of 57 items.

 

Explain how the diagram represents the situation.

 

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Part B)

Noah writes the equation 3(x+7)=57 to represent the situation. Do you agree with him?

Select one:
Part C)

Explain your reasoning.

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Part D)

How many stickers is Noah's sister putting in each prize bag?

 

Do not include units (stickers) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part E)

Explain or show your reasoning.

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Part A)

A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. If they pay $46.50 for all their tickets, how much does a ticket cost without the coupon?  

 

Do not include units ($) in your answer.

 

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Part B)

Explain or show your reasoning.

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Part A)

Priya, Han, and Elena, are members of the running club at school.

Priya was busy studying this week and ran 7 fewer miles than last week. She ran 9 times as far as Elena ran this week. Elena only had time to run 4 miles this week.

 

How many miles did Priya run last week?  

 

Do not include units (miles) in your answer.

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

Elena wrote the equation 1/9(x7)=4 to describe the situation. She solved the equation by multiplying each side by 9 and then adding 7 to each side. How does her solution compare to the way you found Priya's miles?

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Part C)

One day last week, 6 teachers joined 5/7 of the members of the running club in an after-school run. Priya counted a total of 31 people running that day. How many members does the running club have?

 

Do not include units (members) in your answer.

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Part D)

Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44. How much did each parent give?

 

Do not include units ($) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part E)

The running club uses the money they raised to pay for a trip to a canyon. At one point during a run in the canyon, the students are at an elevation of 128 feet. After descending at a rate of 50 feet per minute, they reach an elevation of -472 feet. How long did the descent take? 

 

Do not include units (minutes) in your answer.

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Are you ready for more?

A musician performed at three local fairs. At the first he doubled his money and spent $30. At the second he tripled his money and spent $54. At the third, he quadrupled his money and spent $72. In the end he had $48 left. How much did he have before performing at the fairs?

Don't use $ in your answer.

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