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

Question

asked Feb 1, 2019 155k views

2 Answers

Emmett · Answer 1 · 2019-02-07T02:07:13+0000

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.