Question

Write an equivalent expression for 10x + 2 using the Distributive Property.

A.
x(10 + 2)

B.
10(x + 2)

C.
2(x + 2)

D.
2(5x + 1)

Answer 1

It would be D, 2 x 5x is 10x, 2 x 1 is 2, if you put them together it makes 10x + 2

Answer 2

Option D) 2(5x + 1)

Explanation:

We are given an expression in the question:

`10x + 2`

We have to find the equivalent expression to the given expression.

Distributive Property:

• The distributive property helps to multiply a sum by multiplying each addend separately and then add the products.

• 
  `a(b+c)=a(b)+a(c) = ab +ac`

A)

`x(10 + 2)\\=x(10)+x(2)\\=10x + 2x\\=12x`

which is not equal to the given expression.

B)

`10(x + 2)\\=10(x)+10(2)\\=10x+20`

which is not equal to the given expression.

C)

`2(x + 2)\\=2(x) + 2(2)\\=2x +4`

which is not equal to the given expression.

D)

`2(5x + 1)\\=2(5x) + 2(1)\\=10x + 2`

which is equal to the given expression.