Properties of Operations with Expressions

Simplify the expression 4(3x + 5) - 2x.

• 12x + 20 - 2x

• 10x + 20

• 12x + 18

• 14x + 20

Use the commutative property to rewrite the expression 4 + 7x.

• 7x + 4

• 4x + 7

• 7 + 4x

• 4 + 7x

Simplify the expression 3x + 4x - 2x + 4.

• 5x + 4

• 4x + 7

• 11x

• 7 + 4x

Apply the associative property to simplify the expression 5 + (2 + x).

• 7 + x

• (5 + 2) + x

• x + 7

• 5 + x + 2

Simplify the expression 3x + 4x - 2x + 5.

• 5x + 5

• 7x + 5

• 5x + 7

• 9x + 5

Which property is this example? 10+4 = 4+10

• Commutative Property of Addition

• Associative Property of Addition

• Inverse Property of Addition

• Identity Property of Addition

9+(2+4)=(9+2)+4

• Commutative Property of Addition

• Associative Property of Addition

• Identity Property of Addition

• Inverse Property of Addition

What property allows this statement to be true? 
(A + B) + C = A + ( B + C)

• Associative

• Commutative

• Distributive

• Identity

Changing the location of the grouping symbols around addition or multiplication does not change the outcome. This is an example of which property?

(5 x 7) x 3 = 5 x (7 x 3)

• Identity Property of Multiplication

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Inverse Property of Multiplication

An example of the Commutative Property of Addition is ______________.

• 2 + (4 + 6) = (2 + 4) + 6

• 2(4 · 6) = (2 · 4)6

• 2 + 4 = 4 + 2

• 2 · 4 = 4 · 2