1. Combining Like Terms

2. Vocabulary
In a term with a number and a variable, the number is called the coefficient.
Example: 2X + 4Y3
Which number is the coefficient of X?

3. Vocabulary Like terms have the same variable raised to the same power.
Example: 5X and -4X
2Y2 and Y2

4. Like Terms
3X2 +4X+8-7x2 3X2 and -7x2 are like terms. Name the like terms in the expression. -2Y2 +5X-3+1x

5. Combine Like Terms First identify the like terms. 8X2-2X+5X-4
Next combine them.
8X2+3X-4

6. Let’s see what we have learned!
Question 1
Question 2
Question 3
Question 4
Question5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Question 16

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9. Combine the Like Terms and Simplify
Question 1
15X+(-4X)
A. 19X
B. -11X
C. 11X
D. 15X+(-4X)

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11. Combine the Like Terms and Simplify
Question 2
-12Y+5Y
A. -7Y
B. 7Y
C. -17Y
D Y

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13. Combine the Like Terms and Simplify
Question 3
-8b-9b
A. -1b
B b
C b
D b

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15. Combine the Like Terms and Simplify
Question 4
5-X+2
A. 7
B. -7
C. 7+X
D. 7-X

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17. Combine the Like Terms and Simplify
Question 5
-3+Y+7
A. -4Y
B Y
C. -3Y+7
D. 7Y+3

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19. Combine the Like Terms and Simplify
Question 6
4+a+a
A. 4a
B. 4a2
C. 4+2a
D. 4a+a

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21. Combine the Like Terms and Simplify
Question 7
1.3t - 2.1t
A. -3.4t
B t
C t
D t

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23. Combine the Like Terms and Simplify
Question 8
7w+(-2w)
A. 5w
B. 9w
C. 9w2
D. 5w2

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25. Combine the Like Terms and Simplify
Question 9
107a-208a
A a
B a2
C a
D a

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27. Combine the Like Terms and Simplify
Question 10
3X2+2X2-7
A. 12X2
B. 5X2+7
C. 5X2-7
D. -2X2

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29. Combine the Like Terms and Simplify
Question 11
9X3-4X3-2
A X3-2
B. 5X3-2
C. -5X3+2
D. 3x3

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31. Combine the Like Terms and Simplify
Question 12
8b+5-3b
A. 10b
B. 16b
C. 5b+5
D. 5b-5

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33. Combine the Like Terms and Simplify
Question 13
8t2-2t+5t-4
A. 7t
B. 11t-4
C. 8t2+3t-4
D. 8t2+7t-4

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35. Combine the Like Terms and Simplify
Question 14
-6w-12-3w+2X
A wX
B w+2X
C w+2x-12
D w-10

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37. Combine the Like Terms Question 15 4X+6Y-3Y-7 A. 4X+3Y-7 B. 0 C. 20XY
D. 4X+9Y-7

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39. Combine the Like Terms Question 16 -6-3X2+3Y+7 A. X2Y B. -3X2+3Y+1
C. 3X2+3Y+1
D. -3X2+3Y-13