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

Given (−2.67b + 11) − (5.38b − 15)
Step 1 −2.67b + 11 + (−5.38b) + 15
Step 2 −2.67b + 5.38b + 11 + 15
Step 3 (−2.67b + 5.38b) + (11 + 15)
Step 4 2.71b + 26

Part A: Identify and explain the first step where Margie made an error. (2 points)

Part B: Explain how to correctly write the expression in fewest terms by correcting the error in Part A. Show all work. (2 points)

1 answer

Part A: Margie made an error in Step 2.

In Step 2, she added -2.67b and 5.38b instead of subtracting them. She should have subtracted -5.38b instead of adding it.

Part B: To correctly write the expression in fewest terms, we need to subtract -5.38b instead of adding it.

Given: (-2.67b + 11) - (5.38b - 15)

Revised Step 2: -2.67b - 5.38b + 11 + 15

Now, we can combine like terms:

-2.67b - 5.38b = -8.05b

11 + 15 = 26

Final result: -8.05b + 26