Question

Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.

Step Work Justification

1 3(x + 2) = 12 Given

2

3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality

4 3x = 6 Simplify

5 Three times x over three equals six over three Division Property of Equality

6 x = 2 Simplify



A. 3x + 6 = 12; Distributive Property


B. 3x + 2 = 12; Distributive Property


C. 3x + 6 = 12; Multiplication Property of Equality


D. 3x + 2 = 12; Multiplication Property of Equality

Answer 1

B. 3x + 6 = 12; Distributive Property

Answer 2

Option A =- 3x + 6 = 12; Distributive Property

Explanation:

Given : Expression
`3(x+2)=12`

To find : Fill in the missing work and justification for step 2 when solving expression ?

Solution :

Step Work Justification

1
`3(x+2)=12` Given

2
`3x+6=12` Distributive Property

3
`3x + 6-6 = 12-6` Subtraction Property of Equality

4
`3x=6` Simplify

5
`(3x)/(3)=(6)/(3)` Division Property of Equality

6
`x=2` Simplify

Therefore, option A is correct.