Simplifying Expressions with Commutative, Associative and Distributive Property

Simplify the Expression:
x + x + x + 3 + 5

• 3x + 8 

• x + 3

• 2x + 5

Simplify the expression:
4(x - 3) + 12

• 4x - 12

• 4x 

• 4x - 3

What property is shown?
4 + (3 + 9) = (4 +3) + 9

• Associative of Multiplication

• Commutative of Addition

• Associative of Addition

Using the commutative property, what would be the equivalent expression for 
5 + 6 = ?

• 6 + 5

• 5 + 6

• 11

7(x + 4)

(a)  

• A

• B

• C

• D

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Simplify: -6(3x - 9)

Mathematical Equivalence

ON

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

Simplify: -7 + 3(x - 8) - 8x + 3

Mathematical Equivalence

ON