Combining Like Terms
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![Page 1: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/1.jpg)
Combining Like Terms
![Page 2: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/2.jpg)
Terms Are separated by a sign
(- or +)
![Page 3: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/3.jpg)
How many terms are in the example?
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Coefficient it is the number next to the variable. You must have a variable to have a coefficient.
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Any variable without a number in front of it has an understood
coefficient of 1.
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Constant a number without a variable
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Combine Like Terms(put the same variables together!)
![Page 8: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/8.jpg)
That is the answer…don’t do anything else!
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6y + 2x + 4y + 8
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6y + 2x + 4y + 8
2x + 10y + 8
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7n + 6y + 3 – 2n + 4
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7n + 6y + 3 – 2n + 4
5n + 6y + 7
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3r + 7y -2r + y
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3r + 7y -2r + y
r + 8y
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4n + 9 + 6m - n - 2m + 2
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4n + 9 + 6m - n - 2m + 2
4m + 3n + 11
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2x + 7 + 5x - 4 - x
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2x + 7 + 5x - 4 - x
6x + 3
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5 + 7x + 2x – 3 + 6
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5 + 7x + 2x – 3 + 6
9x + 8
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x + y + 4x – 3x + 2y + 3y
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x + y + 4x – 3x + 2y + 3y
2x +6y
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3x² + 5x +17 + 6x + 20
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3x² + 5x +17 + 6x + 20
11x+ 3x² +37
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4x + x² +12 – 4 +2x
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4x + x² +12 – 4 +2x
x² +6x + 8
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12y + 12x +12 – 6x + 12
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12y + 12x +12 – 6x + 12
12y + 6x + 24
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12y + 4 +x –7y + 8 +8x
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12y + 4 +x –7y + 8 +8x
5y + 9x +12
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5x + x²+ 2x + 5 – 4 - x²
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5x + x²+ 2x + 5 – 4 - x²
7x + 1
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5x² + 8x + 7x²+6x
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5x² + 8x + 7x²+6x
12x² +14x
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12x + 6 –8x –4x –3 + 12
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12x + 6 –8x –4x –3 + 12
15
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5x + 4 –3x +5 +2x - 9
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5x + 4 –3x +5 +2x - 9
4x
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4x +2y + 8 – 3 - y - x
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4x +2y + 8 – 3 - y - x
3x + y + 5
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4(2m + 3) – 5
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4(2m + 3) – 5
8m + 12 – 5
8m + 7
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3(4c + 2n) + 4 – 2c
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3(4c + 2n) + 4 – 2c
12c + 6n + 4 – 2c
10c + 6n + 4
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5(x + 2) + x + 7
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5(x + 2) + x + 7
5x + 10 + x + 7
6x + 17
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x(4 + 7) + 4x + y
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x(4 + 7) + 4x + y
4x + 7x + 4x + y
15x + y
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x + 2(3x + 4y) + 3
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x + 2(3x + 4y) + 3
x + 6x + 8y + 3
7x + 8y + 3
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4x + 5 +7x + 2y +2 - y
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4x + 5 +7x + 2y +2 - y
11x + y + 7
![Page 55: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/55.jpg)
2y + 2x + 8 – 6 + x – 2y
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2y + 2x + 8 – 6 + x – 2y
3x + 2
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4x + 6y + 6 + 7x + y
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4x + 6y + 6 + 7x + y
11x + 7y + 6
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3x² + 4x –2x² -3x +2x
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3x² + 4x –2x² -3x +2x
x² + 3x
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8x + 4 – 4 – 4x +x
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8x + 4 – 4 – 4x +x
5x
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y + 5x + 6y + 9 - 6
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y + 5x + 6y + 9 - 6
5x + 7y + 3
![Page 65: Combining Like Terms](https://reader035.fdocuments.net/reader035/viewer/2022062422/568134df550346895d9c1173/html5/thumbnails/65.jpg)
x² +3 +2x² + 4 -7
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x² +3 +2x² + 4 -7
3x²
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5y + 3 + 7x² -2x - x² + y
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5y + 3 + 7x² -2x - x² + y
6x² + 6y -2x+3
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