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IM: 7.5.7: Adding and Subtracting to Solve Problems (Lesson)

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Last updated 11 months ago
16 questions
7.1: Positive or Negative?
1
Question 1
1.

Is the solution to -2.7+x=-3.5 positive or negative?

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7.2: Phone Inventory
7.3: Solar Power
7.4: Differences and Distances
Question 2
2.

Select all the expressions that are solutions to -2.7+x=-3.5.

A store tracks the number of cell phones it has in stock and how many phones it sells.

The table shows the inventory for one phone model at the beginning of each day last week. The inventory changes when they sell phones or get shipments of phones into the store.
1
Question 3
3.

What do you think it means when the change is positive? Negative?

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Question 4
4.

What do you think it means when the inventory is positive? Negative?

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Question 5
5.

Based on the information in the table, what do you think the inventory will be at on Saturday morning? Explain your reasoning.

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Han's family got a solar panel. Each month they get a credit to their account for the electricity that is generated by the solar panel. The credit they receive varies based on how sunny it is.

Here is their electricity bill from January.

In January they used $83.56 worth of electricity and generated $6.75 worth of electricity.
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Question 7
7.

In July they were traveling away from home and only used $19.24 worth of electricity. Their solar panel generated $22.75 worth of electricity. What was their amount due in July?

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Question 8
8.

The table shows the value of the electricity they used and the value of the electricity they generated each week for a month. What amount is due for this month?

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While most rooms in any building are all at the same level of air pressure, hospitals make use of "positive pressure rooms" and "negative pressure rooms."
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Question 10
10.

What do you think it means to have negative pressure in this setting?

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Question 11
11.

What could be some uses of these rooms?

Plot these points on the coordinate grid in the applet.

A=(5,4)
B=(5,-2)
C=(-3,-2)
D=(-3,4)

https://curriculum.illustrativemathematics.org/MS/students/2/5/7/index.html

[Scroll to the tool under "7.4: Differences and Distances"]
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Question 12
12.

What shape is made if you connect the dots in order?

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Question 13
13.

What are the side lengths of figure ABCD?

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Question 6
6.

What is the difference between the greatest inventory and the least inventory?

Question 9
9.

What is the difference between the value of the electricity generated in week 1 and week 2? Between week 2 and week 3?

Question 14
14.

What is the difference between the x-coordinates of B and C?

Question 15
15.

What is the difference between the x-coordinates of C and B?

Question 16
16.

How do the differences of the coordinates relate to the distances between the points?