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Combining Like Terms (Part 1): IM 7.6.20
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1. Lesson 7.6.20
- IM 7.6.20 Lesson: Combining Like Terms (Part 1)
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2. Practice 7.6.20
- IM 7.6.20 Practice: Combining Like Terms (Part 1)
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Combining Like Terms (Part 1): IM 7.6.20
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 10, 2020

“Combining Like Terms (Part 1)” from IM Grade 7 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 7.6.20
- IM 7.6.20 Lesson: Combining Like Terms (Part 1)
- Practice 7.6.20
- IM 7.6.20 Practice: Combining Like Terms (Part 1)
IM 7.6.20 Lesson: Combining Like Terms (Part 1)
Explain why each statement is true.
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is equivalent to .
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is equivalent to .
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is equivalent to 8.
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Diego and Jada are both trying to write an expression with fewer terms that is equivalent to .
- Jada thinks is equivalent to the original expression.
- Diego thinks is equivalent to the original expression.
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Here is another way we can rewrite the expressions. Explain why the expression on each row (after the first row) is equivalent to the expression on the row before it.
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Follow the instructions for a number puzzle:
- Take the number formed by the first 3 digits of your phone number and multiply it by 40
- Add 1 to the result
- Multiply by 500
- Add the number formed by the last 4 digits of your phone number, and then add it again
- Subtract 500
- Multiply by
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How does this number puzzle work?
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Can you invent a new number puzzle that gives a surprising result?
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Complete the Set A's expressions that will make the left side of the equation equivalent to the right side. Check your results with your partner and resolve any disagreements. Next move on to Set B.


IM 7.6.20 Practice: Combining Like Terms (Part 1)
Andre says that and are equivalent because they both equal 16 when is 1. Do you agree with Andre? Explain your reasoning.
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Select all expressions that can be subtracted from to result in the expression .
Select all the statements that are true for any value of .
The library is having a party for any student who read at least 25 books over the summer. Priya read books and was invited to the party.
Which inequality describes the situation?
The library is having a party for any student who read at least 25 books over the summer. Kiran read books over the summer but was not invited to the party.
Which inequality describes the situation?
Which inequality describes the situation?
Which inequality describes the situation?
Consider the problem: A water bucket is being filled with water from a water faucet at a constant rate. When will the bucket be full? What information would you need to be able to solve the problem?
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