Step: 1

Distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number.
a (b + c ) = ab + ac .

Step: 2

From the given choices "4(x - 4) = 4x - 16" satisfies distributive property.

Correct Answer is : 4(x - 4) = 4x - 16

Step: 1

Distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number.
a (b + c ) = ab + ac .

Step: 2

From the given choices " 4(x - 3) = 4x - 12" satisfies distributive property.

Correct Answer is : 4(x - 3) = 4x - 12

Step: 1

[Given expression.]

Step: 2

In the expression the product of a number and a sum is same as the sum of the individual products of addends and the number.

Step: 3

Distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number.

Step: 4

So, the property 'Distrubitive Property' is illustrated in the given equation.

Correct Answer is : Distributive Property

Step: 1

Distributive property states that the product of a number and a sum is equal to the sum of the individual products of addends and the number.

Step: 2

Among the methods, Method 2 illustrates the sum of individual products of addends and the number.

[Given that Andrea used distributive property to solve the area of the rectangle ABFE.]

Step: 3

So, Method 2 shows Andrea's steps.

Correct Answer is : Method 2

Step: 1

Area of the room = length × width = 14 × 10 5 12

Step: 2

14 × 10 5 12 = 14(10 + 5 12 )

[10 5 12 can be written as 10 + 5 12]

Step: 3

= (14 × 10) + (14 × 5 12 )

[Using distributive property.]

Step: 4

Using distributive property we can write 14 × 10 5 12 as (14 × 10) + (14 × 5 12 ).

Correct Answer is : (14 × 10) + (14 × 5 12 )

Step: 1

Distributive property is a (b + c ) = (a × b ) + (a × c ), where a , b and c are numbers.

Step: 2

= (2 3 × 17 9 ) + (2 3 × 23 5 )

Correct Answer is : (2 3 × 17 9 ) + (2 3 × 23 5 )

Step: 1

Area of George's lawn = length × width = 16 × 121 2

Step: 2

16 × 121 2 = 16(12 + 1 2 )

Step: 3

= (16 × 12) + (16 × 1 2 )

[Using distributive property.]

Step: 4

Using distributive property we can write 16 × 121 2 as (16 × 12) + (16 × 1 2 ).

Correct Answer is : (16 × 12) + (16 × 1 2 )

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