Question

Which property justifies Step 1? Given: 4(x ? 6) + 12 = 20 Step 1: 4x ? 24 + 12 = 20 Step 2: 4x ? 12 = 20 Step 3: 4x = 32 Step 4: x = 8 A) Identity Property B) Distributive Property C) Addition Property of Equality D) Subtraction Property of Equality

Answer 1

32-

Explanation:

Answer 2

Answer: B) Distributive Property

Explanation:

Since, In The distributive property we can multiply a sum by multiplying each addend separately and then add the products.

For example, If we have a expression a(b+c) then by applying distributive property we can write, a(b+c) = ab+ac

Here, given expression, 4(x - 6) + 12 = 20

Step 1. 4x-24 +12 =20 ( by distributive property)

Step 2. 4x - 12 = 20 ( By addition property of equality)

Step 3. 4x = 32

Step 4. x=8 (division property of equality )

Thus, the correct missing reason in step 1 is B) Distributive Property.