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

Answer:

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

Step-by-step 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   $\frac{3x}{3}=\frac{6}{3}$                                 Division Property of Equality

6   $x=2$                                   Simplify

Therefore, option A is correct.