Combining Like Terms (Part 1): IM 7.6.20
1. Lesson 7.6.20
1. IM 7.6.20 Lesson: Combining Like Terms (Part 1)
2. Practice 7.6.20
1. 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

[url=https://im.kendallhunt.com/MS/teachers/2/6/20/preparation.html]“Combining Like Terms (Part 1)”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].

Lesson 7.6.20
1. IM 7.6.20 Lesson: Combining Like Terms (Part 1)
Practice 7.6.20
1. IM 7.6.20 Practice: Combining Like Terms (Part 1)

1.

Lesson 7.6.20

1. IM 7.6.20 Lesson: Combining Like Terms (Part 1)

1.1.

IM 7.6.20 Lesson: Combining Like Terms (Part 1)

Explain why each statement is true.

[math]5+2+3=5+\left(2+3\right)[/math]

[math]9a[/math] is equivalent to [math]11a-2a[/math].

[math]7a+4-2a[/math] is equivalent to [math]7a+\text-2a+4[/math].

[math]8a-\left(8a-8\right)[/math] is equivalent to 8.

[size=150]Diego and Jada are both trying to write an expression with fewer terms that is equivalent to [math]7a+5b-3a+4b[/math].[/size][br][list][*]Jada thinks [math]10a+1b[/math] is equivalent to the original expression.[/*][*]Diego thinks [math]4a+9b[/math] is equivalent to the original expression.[/*][/list][br]We can show expressions are equivalent by writing out all the variables. [br] [math]7a+5b-3a+4b[/math][br] [math]\left(a+a+a+a+a+a+a\right)\text{ }+\left(b+b+b+b+b\right)-\left(a+a+a\right)+\left(b+b+b+b\right)[/math][br] [math]\left(a+a+a+a\right)+\left(a+a+a\right)+\left(b+b+b+b+b\right)-\left(a+a+a\right)+\left(b+b+b+b\right)[/math][br] [math]\left(a+a+a+a\right)+\left(b+b+b+b+b\right)+\left(a+a+a\right)-\left(a+a+a\right)+\left(b+b+b+b\right)[/math][br] [math]\left(a+a+a+a\right)+\left(b+b+b+b+b\right)+\left(b+b+b+b\right)[/math][br] [math]\left(a+a+a+a\right)+\left(b+b+b+b+b+b+b+b+b\right)[/math][br] [math]4a+9b[/math][br][br]Explain why the expression on each row (after the first row) is equivalent to the expression on the row before it.

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.[br] [math]7a+5b-3a+4b[/math][br] [math]7a+5b+\left(-3a\right)+4b[/math][br] [math]7a+\left(-3a\right)+5b+4b[/math][br] [math]\left(7+-3\right)a+\left(5+4\right)b[/math][br] [math]4a+9b[/math]

Follow the instructions for a number puzzle:

[list][*]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 [math]\frac{1}{2}[/math][/*][/list][br]What is the final number?

How does this number puzzle work?

Can you invent a new number puzzle that gives a surprising result?

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.

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Practice 7.6.20

1. IM 7.6.20 Practice: Combining Like Terms (Part 1)

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Combining Like Terms (Part 1): IM 7.6.20

Table of Contents

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