Properties of operations review

 $\left(2\ \times\ 3s\right)\ +\left(2\ \times7s\right)\ =\ 2\left(3s\ +\ 7s\right)$ 

What property is shown? 

• Identity property

• Commutative property

• Associative property

• Distributive property

Which of the following shows the Commutative property?

•  $23g\ x\ 1\ =\ 23g$  

•  $4e\ +\ 1e\ =\ 1e\ +\ 4e$  

•  $\left(8\ +\ s\right)\ +\ 4s\ =\ 8\ +\ \left(s\ +\ 4s\right)$  

•  $5\left(\ V+\ 2\right)\ =\ \left(5\ x\ V\right)\ +\ \left(5\ x\ 2\right)$  

 $\left(7h\ +6\right)\ +\ 5\ =\left(6\ +\ 5\right)\ +\ 7h$  
Which property is shown?

• Distributive property

• Commutative property

• Associative property

• Identity property

Which is an example of the identity property?

• 4b + 9 = 9 + 4b

• (5c x 2) + ( 8c x 2) = 2( 5c + 8c)

• 7t x 1= 7t

• (9f + 3) + 2 = 9f + (3 + 2)

 $7\left(5c\ +4\right)$  
Simplify this expression

(a)  

8z + 7 + 10z
Simplify this expression

(a)  

Simplify the expression

 $\left(-4s\ +\ 9\right)\ +\ \left(4s\ -\ 6\right)$  

(a)  

Simplify the expression

 $\left(-3c\ +\ 6\right)\ +\ \left(-c\ +\ 8\right)$  

(a)  

Which of the following is the correct factored solution of this expression $2x\ +\ 4$  ?

•  $2$  

•  $2x\ +\ 2$  

•  $2\left(x\ +\ 2\right)$  

•  $2\ +\ 2$  

 $5x\ -\ 25$  Factor the following expression

(a)