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Use properties of operations to enter an equivalent expression by combining like terms.Problem 1:8.3r - 3.1r = ___Problem 2: 26a + 14 + 17a = ___Problem 3:9s + 4t + 10s + 13t = ___

User Savino Sguera
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1 Answer

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First, we need to define what a like term is:

• two or more terms are like terms if they have the same variable, or if they are independent terms (terms without variable).

For example:

2x and 8x are like terms because they both have the same variable.

3 and 12 are like terms because they both don't have variables.

With this in mind, let's answer our problem:

Problem 1:


8.3r-3.1r

Since both terms have the same variable "r" they are like terms and we can combine them by subtracting 3.1 from 8.3, the result will be:


8.3r-3.1r=5.2r

Problem 2:


26a+14+17a

In this case, the like terms are 26a and 17a because both of those terms have the same variable "a". 14 is not a like term with them because 14 does not have a variable, so we can only combine 26a and 17a by adding 26 and 17:


26a+14+17a=43a+14

As you can see, in the result we get 43a (which is the result of the sum 26a+17a) and since 14 was not a like term, it goes as it is to the result.

Problem 3:


9s+4t+10s+13t

Here 9s and 10s are like terms because they have the same variable, we can combine them 9s+10s=19s.

Also, 4t and 13t are like terms, so we combine them: 4t+13t=17t.

And the result is:


9s+4t+10s+13t=19s+17t

User Mmraj
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