Question

(Correct answer only please)

Answer 1

Answer:

Add 3.8 to both sides of the equation.

Step-by-step explanation:

The method of inverse operations is the process in which one systematically undoes operations in an equation so that one can solve for an unknown quantity in an equation. Typically, one does inverse operations in the opposite order of the order of operations. Remember, the order of operations is as follows,

1. Parenthesis

2. Radicals and Exponents

3. Multiplication and Division

4. Addition and Subtraction

When solving an equation, one uses the order of operations from least to greatest do operations with step (1) first, then step (2), and so on. However, when doing inverse operations, one uses the order of operations from greatest to least. Therefore, one does the opposite of the operations with step (4) first, then step (3), and so on.

In the given equation,

1.2m - 3.8 = 12.4

One has an operation of subtraction, when doing inverse operations, this is the first. The opposite of subtraction is addition, therefore one will add (3.8) to both sides to undo this operation.

Answer 2

Answer: Choice A)  Add 3.8 to both sides of the equation

Explanation:

If we knew the value of w, then we would replace it and apply PEMDAS.

However, we don't know the value of w, so we undo each step of PEMDAS going backwards.

We start with the "S" of PEMDAS, and undo the subtraction. To undo subtraction, you apply addition. To undo that "minus 3.8" we add 3.8 to both sides.