Distributive Properties

Which property is this example?
3(5+y)=15+3y

• Commutative property of multiplication

• Associative Property of multiplication

• Distributive property of multiplication

• Identity property of multiplication

• Zero Property

• Associative Property

• Commutative Property

• Identity Property

Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)

• 10x - 8

• 10x + 40

• 7x - 3

• 10x - 40

Identify the property shown.

• Commutative

• Associative

• Distributive

• None

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

Which expression is equivalent to 6b + 3(a+b)?

• 3a (7b)

• 9b + (a+b)

• 3a + 6b

• 3a + 9b

Simplify   2(3x + 5)

Use the Distributive Property to simplify the expression.
5(57)

• 250

• 285

• 305

• 295

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30