Question

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

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

Answer:

Option D) 2(5x + 1)

Step-by-step 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.