Distributive Property Numbers

Use the Distributive Property to multiply.

(5y + 8)(-3)

• -15y + 8

• -15y - 24

• -35y + 24

12(3 + 4) =

• 36 + 48

• 15 + 16

• 123 + 124

• 0.84

4(-p - 6)

• 4p - 24

• 4p + 24

• -4p + 24

• -4p - 24

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

How could the following expression be rewritten using the distributive property?

3(5 + 7)

• 3(5) + 7

• 3 + 3(7)

• 3(5) + 5(7)

• 3(5) + 3(7)

How could the following expression be rewritten to use the distributive property?

• 3(100 + 25)

• 3(100 - 25)

• 3(10 + 25)

• 3(10 - 25)

Simplify using the distributive property.

3(4x - 7)

• 7x - 21

• 7x - 10

• 12x - 21

• 12x - 7

Simplify using the distributive property.

-5(6x - 3)

• -30x - 15

• -30x + 15

• -30x - 3

• -30x + 3

Which property is represented by a × (b + c) = (a × b) + (a × c)?

• Distributivity of multiplication over addition

• Distributivity of addition over multiplication

• Associative property

• Commutative property

Answer explanation

The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. As we have like terms, we usually first add the numbers and then multiply by 5. But, according to the property, you can first multiply every addend by 5

Balance the given statement with respect to distributive property.

• (50 x 10)+2

• (50 +10) × 2

• (2 × 50 ) + ( 2 × 10 )

• none of these

Answer explanation

To balance the given situation we need to find the equivalent term of (2 × 50 ) + ( 2 × 10 ) using the distributive property Using distributive property of multiplication over addition we know that, a × (b + c) = (a × b) +(a × c) It can also be written as (a × b) + (a × c) = a × (b + c) we get (2 × 50) + (2 × 10) = 2 × (50 + 10) To balance the situation we need 2 × (50 + 10) however we know that multiplication is commutative therefore, 2 × (50 + 10) = (50 + 10) × 2 The term required to balance the situation is (50 +10) × 2 therefore option 2 is correct