[img]data:image/png;base64,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[/img][br]Write a story that could be represented by this tape diagram.
Write an equation that could be represented by the tape diagram above.
[size=150]Tyler draws a diagram to represent the situation.[br][img]data:image/png;base64,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[/img][br][br]Explain how each part of the situation is represented in Tyler's diagram:[/size][br][br]How many total invitations Tyler is trying to make.
How many invitations he has made already.
How many days he has to finish the invitations.
How many invitations should Tyler make each day to finish his goal within a week? Explain or show your reasoning.
Use Tyler’s diagram to write an equation that represents the situation.
Explain how each part of the situation is represented in your equation.
Explain or show how to solve your equation.
[img]data:image/png;base64,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[/img][br][br]Explain how the diagram represents the situation.
Noah writes the equation [math]3\left(x+7\right)=57[/math] to represent the situation. Do you agree with him? Explain your reasoning.
How many stickers is Noah's sister putting in each prize bag? Explain or show your reasoning.
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? Explain or show your reasoning. If you get stuck, consider drawing a diagram or writing an equation.
How many miles did Priya run last week?
Elena wrote the equation [math]\frac{1}{9}\left(x-7\right)=4[/math] 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?
One day last week, 6 teachers joined [math]\frac{5}{7}[/math] 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?
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 family members, which brings their balance to -44. How much did each parent give?
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?
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?