Question

The steps used to solve an equation are shown below. Step Process Justification 1 Given 3(x - 2) - (1 - 4) = 12 3r - 6-x+4 = 12 2 Distributive Property 3 2x - 2 = 12 Combine Like Items 4 2x - 2 +2 = 12 +2 ? un 2x = 14 Simplify 21 6 2 2 Division Property of Equality Simplify 7 r = 7 Which property can be used to justify Step 4? Commutative Property of Addition Subtraction Property of Equality Addition Property of Equality Inverse Operation Property

Answer 1

In the step 3 we have :

2x - 2= 12

Then in step 4 we have

2x-2+2=12+2

i.e. adding 2 on both side of the equation of step 3 which gives the equation of step4

So, Addition Property of equality is applied

Answer : C) Addition Property of equality