Question

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8

Answer 1

B.

Explanation:

Answer 2

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

`2((2)/(5)x + 2)`

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

`2((2)/(5)x + 2) =(2*2)/(5)x+2*2`

So,
`2((2)/(5)x + 2) =(4)/(5)x+4`

Answer:Option (b)

`2((2)/(5)x+4)`

Applying distributive property, a(b+c)=ab+ac

`2((2)/(5)x+4) =2*(2)/(5) x+2*4`

`2((2)/(5)x+4) =(2*2)/(5) x+2*4`

`2((2)/(5)x+4) =(4)/(5) x+8`

So, Option (B) is correct.