heatherfisher4
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Margie's work for adding linear expressions is shown below. After checking her answer with the answer key, she solved it incorrectly.


Given (βˆ’3.78b + 12) βˆ’ (4.82b βˆ’ 16)
Step 1 βˆ’3.78b + 12 + βˆ’4.82b βˆ’ 16
Step 2 βˆ’3.78b + βˆ’4.82b + 12 βˆ’ 16
Step 3 (βˆ’3.78b + βˆ’4.82b) + (12 βˆ’ 16)
Step 4 βˆ’8.6b + (βˆ’4)


Part A: Identify and explain the first step where Margie made an error.

Part B: Explain how to correctly write the expression in fewest terms by correcting the error in Part A. Show all work.

Respuesta :

The correct way to add the linear expression is as follows:

(βˆ’3.78b + 12) βˆ’ (4.82b βˆ’ 16) = -8.6b + 18

How to correctly write adding linear expression?

The linear expression to add is as follows:

(βˆ’3.78b + 12) βˆ’ (4.82b βˆ’ 16)

Firstly we open the bracket on the right side by multiplying the negative sign by the numbers in the brackets.

(βˆ’3.78b + 12) βˆ’ (4.82b βˆ’ 16)

βˆ’3.78b + 12 - 4.82b + 16

Hence, combine like terms

βˆ’3.78b + 12 - 4.82b + 16

-3.78b - 4.82b + 12 + 16

Add the like terms

-3.78b - 4.82b + 12 + 16

-8.6b + 18

Therefore, She made the mistake in the first step.

learn more on linear expression here: https://brainly.com/question/1818941

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