Question

Margie's work for adding linear expressions is shown below. After checking her answer with the answer key, she solved it incorrectly.
Given (−3.12b + 12) − (4.36b − 11)
Step 1 −3.12b + 12 + (−4.36b) + 11
Step 2 −3.12b + −4.36b + 12 + 11
Step 3 (−3.12b + −4.36b) + (12 + 11)
Step 4 7.48b + 23


Part A: Identify and explain the first step where Margie made an error. (6 points)

Part B: Explain how to correctly write the expression in fewest terms by correcting the error in Part A. Show all work. (6 points)

Answer 1

The error is in the Step 4 and the correct expression would be - 7.48b + 23

In the above question, it is given that

Margie's work for adding linear expressions but after checking her answer with the answer key, she solved it incorrectly.

We need to first identify the error and then make the corrections in it

Given (−3.12b + 12) − (4.36b − 11)

Step 1 −3.12b + 12 + (−4.36b) + 11

Step 2 −3.12b + −4.36b + 12 + 11

Step 3 (−3.12b + −4.36b) + (12 + 11)

Step 4 7.48b + 23

First, we'll find the error in Margie's linear expression solution

The error is in the last Step 4 of the Margie's solution

Now we'll write the correct solution

Given (−3.12b + 12) − (4.36b − 11)

Step 1 −3.12b + 12 + (−4.36b) + 11

Step 2 −3.12b + −4.36b + 12 + 11

Step 3 (−3.12b + −4.36b) + (12 + 11)

Step 4 - 7.48b + 23

Hence, the error is in the Step 4 and the correct linear expression would be - 7.48b + 23

To learn more about, linear expression, here

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