Combining%20Like%20Terms

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Combining Like Terms
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Warm Up
OBJECTIVE Students will be able to determine if
expressions are equivalent by combining like
terms. Language Objective Students will be able
to explain in words how to combine like terms.
True or False? Explain your answer.
True
True
False
True
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Launch- What is the Area?
What is the area of the rectangle?
x
4x
3x
7x

Area 4x 3x
Area 7x
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Explore- Using Tiles
Think back to the warm up
.
Let each x represent a red tile.
So, how many tiles would we need?
Can we represent 3x another way using tiles?

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Explore- Using Tiles
Using your tiles, what would you get
if you combined 2x 4x?

Is this the only way to show 6x?
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Explore- Using Tiles
Is this the only way to show 6x?


3x
3x


5x
x
1
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Explore- Using Tiles
What would you get if you combined
5x 3y 2x y? Use your tiles.



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Summary- No Tiles
Identify variables that are the same
5x 3y 2x y
5x

3y
2x

Commutative Property
Now Combine!
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Summary- Vocabulary
Vocabulary
Example

• Term a single number, variable, or number
  and variables multiplied together.

are terms in this expression.

• Like Terms terms that have the same variable
  or power.

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Summary- Process
Process
1. Copy the expression
2. Identify the like terms
5x
3. Rewrite using the Commutative Property
4. Combine the variables that are the same
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Summary- Quick Check
7a 15b
11x 12
3y
5y 7z
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Practice- Partners
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Practice- Partners
II. Explain why the following statement is true.

2x and 4y are not like terms, therefore, you
cannot combine them.
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Practice- Partners

• Write an equivalent expression for the
  following expressions.

1.
2.
3.
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Practice- Partners
Yvonne just added all the numbers together. She
can add numbers that are the like terms, 8x and
6x, but not 2 since it does not have an x.
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Assessment- Exit Slip
Jose and Amy were asked to combine 7x 2y 6y
3x. Decide who is correct. Explain.
Amy 7x 2y 6y 3x
Jose 7x 2y 6y 3x

Amys work