Simplifying Expressions Using Distributive Properties

13 + 4(2x + 5) 

• 13 + 8x

• 8x + 33

• 8x + 20 

5 x (7 + 9) = (5 x 7) + (5 x 9)

• Distributive Property

• Associative Property

• Commutative Property

• Multiplying Property

Simplify   6(x + -2)

• 6x + -2

• 6x + -12

• 4x

• 6x - 2

Simplify the expression:
6 + 2(7x - 3) 

• 12 + 7x

• 14x

• 14x + 3

• 9 + 7x

(a)  

• A

• B

• C

• D

Match the following expressions to the correct simplified response.

• 100 + 30x

• 0.5(16a - 16)

• -1/2b + 2

• 1/2(-b + 4)

• -9x + 18

• -3(3x - 6)

• 2n - 10

• -10(-10 - 3x)

• 8a - 8

• (n - 5)2

Simplify: -6(3x - 9)

Mathematical Equivalence

ON

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

8 + 3(5 + 2) - 7 ∙ 2

• 3

• 15

• 44

Determine which equation shows distributive property.

• a(b+c) = ab + ac

• ab + ac = abc

• ab + c = ba + c

• a(b+c) = (a x b) + c