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24 votes
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Are the following terms considered "like terms"? If so, combine using addition.

5x 5x 3x
Yes, all three terms have the same variable "x". 13x
Yes, all three terms have whole number coefficients. 8x
No, they are not like terms
There is no such thing as like terms

User Shnizlon
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2 Answers

11 votes
11 votes

Answer:

Yes all three terms have the same variable "x".

Step-by-step explanation:

Like terms are terms whose variables are the same.

5x, 5x and 3x have the same variable "x" which means they are like terms.

5x+5x+3x =

5+5+3=

13=

13x

User Sarvagya Gupta
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22 votes
22 votes

Final answer:

Yes, 5x, 5x, and 3x are like terms because they all contain the same variable 'x'. They can be combined using addition to equal 13x.

Step-by-step explanation:

The question asks whether the terms 5x, 5x, and 3x are considered 'like terms' and how to combine them using addition. Like terms are terms that have the same variables raised to the same powers. Since all three terms have the variable 'x' to the first power, they are indeed like terms.

To combine like terms, simply add or subtract the coefficients (the numerical parts) and keep the variable part the same. Here, add the coefficients 5, 5, and 3 to get:

5x + 5x + 3x = (5 + 5 + 3)x = 13x.

So, the correct answer to the question is: Yes, all three terms are like terms, and when combined using addition, they equal 13x.

User Ggll
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