Question

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) Step 1: 12 + (–3)·(–2x) + (–3)·(4) Step 2: 12 + 6x + (–12) Step 3: 12 + (–12) + 6x Step 4: 0 + 6x Step 5: 6x What property of real numbers was used to transition from Step 3 to Step 4? A. identity property of addition B. inverse property of addition C. associative property of addition D. commutative property of addition

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

Option (B) inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4 is the correct answer.

What is inverse property of addition?

The inverse property of addition states that adding a number and it's opposite, called the additive inverse, will produce a sum of zero. The inverse of a number is the same number with the opposite sign.

For the given situation,

12 - 3(-2x + 4)

Step 1: 12 + (–3)·(–2x) + (–3)·(4)

Step 2: 12 + 6x + (–12)

Step 3: 12 + (–12) + 6x

Step 4: 0 + 6x

Step 5: 6x

The inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4.

By property, $+a-a=0$

⇒ $+12-12=0$

Hence we can conclude that option (B) inverse property of addition is the property of real numbers was used to transition from Step 3 to Step 4 is the correct answer.

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