Solving with Properties

What is the solution of the equation 

 $\frac{2}{3}x=6$  

• x = 9

• x = 4

• x = 12

• x = 18

A teacher asked the class to solve the equation

 $3\left(x+2\right)=21$  . Robert wrote  $3x+6=21$  as his first step. Which property did he use?

• Associative property

• Distributive property

• Communitive property

• Multiplication property of equality

When solving the equation $4\left(x-1\right)+7=3x-1$  Andrew wrote  $4\left(x-1\right)=3x-8$  . Which property justifies his first step?

• Distributive property

• Commutative Property

• Addition property of equality

• Subtraction property of equality

Which property was used incorrectly from line 2 to line 3

• Associative property

• Commutative property

• Distributive property

• Addition property of equality

 $2x-5=15$  

What is the solution of the equation?

• x=10

• x=20

• x=5

• x=40