combining like terms algebra tiles ppt

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Slide 1+5
BOTH
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HINT: If you don’t see a negative or positive sign in front of a number it is always positive.
5
-7
BOTH
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HINT: The sign in front of the number BELONGS TO THE NUMBER!
–7
“Simplify” means to combine like terms and complete all operations
2x + 2x + 3x
= 7x
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Terms in an expression are like terms if they have identical variable parts.
You can combine terms that are alike.
*
are going to use ALGEBRA TILES!
Algebra Tiles help us to visualize
what each term represents.
I have 5x + 4
I have x2 + 2x + 6
Notice that we write the largest shape first, then the medium size, then the smallest. We write them in order from largest to smallest.
Algebra Tiles
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You can only combine terms that are alike, or terms that have the same variable.
When I combine like terms I have 2x2+ 3x + 6
x2
x
x2
x
x
6
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You are going to get your own set of algebra tiles to use.
Take them out of the bag and put them on your desk. The red should be on the bottom.
Algebra Tiles
Show me 3 + x2 with your tiles
Since no terms are alike, we can’t combine anything, so my answer is x2 + 3
Algebra Tiles
Show me x +3 + 2x with your tiles
We can combine the terms that are alike. So my answer is is 3x + 3
Algebra Tiles
Show me 3x + 2 + x + 4 with your tiles
We can combine the terms that are alike. So my answer is is 4x + 6
Algebra Tiles
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Try these problems with your algebra tiles. Combine like terms. Give me a thumbs up when you know the answer.
= 6x + 5
*
Like Terms
Unlike Terms
1) 3x + 5y + 4x
7x
+ 5y
a
+ 4
Say these!
4)
3x
+ 7y
- z
13m
-10y
-3r
3k
-4t
5x
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Put your algebra tiles back in your bag and ziplock them.
Pass your tiles forward quickly.
Take Out Your Study Guide!!!
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When I combine like terms I have 2x2+ 3x +6
x2
x
x2
x
x
6
#5
Terms are in expressions or equations, and they are separated by addition or subtraction signs.
6x2 + 3x - 4
*
Combine Like Terms
You can only combine terms that are alike, or terms that have the same variable.
#6
9x
-m
3a
negative 7minus 7